L. Eulero, Commentarii academiae scientiarum Petropolitanae 8 Solutio problematis ad geometriam situs pertinentis, 1741.

R. Albert and A. Barabási, Statistical mechanics of complex networks, Reviews of Modern Physics, vol.74, issue.1, p.47, 2002.
DOI : 10.1103/RevModPhys.74.47

. Yu, C. Holovatch, O. Von-ferber, T. Olemskoi, O. Holovatch et al., Complex networks, J. Phys. Stud, vol.10, issue.247, 2006.

M. Newman, Networks: An Introduction, 2010.
DOI : 10.1093/acprof:oso/9780199206650.001.0001

I. P. Erdös and A. Rényi, On random graphs, Publ. Math. (Debrecen), vol.6, issue.290, 1959.

D. J. Watts and S. H. Strogatz, Collective dynamics of small-world networks, Nature (London), vol.393, issue.440, 1998.

R. Cohen, K. Erez, D. , and S. Havlin, Resilience of the Internet to Random Breakdowns, Physical Review Letters, vol.85, issue.21, p.4626, 2000.
DOI : 10.1103/PhysRevLett.85.4626

B. Berche, C. Von-ferber, T. Holovatch, and Y. Holovatch, Resilience of public transport networks against attacks, The European Physical Journal B, vol.91, issue.1, 2009.
DOI : 10.1140/epjb/e2009-00291-3

A. Barabási and A. Reka, Emergence of Scaling in Random Networks, Science, vol.286, issue.509, 1999.

A. Barabási, R. Albert, and H. Jeong, Scale-free characteristics of random networks: the topology of the world-wide web, Physica A: Statistical Mechanics and its Applications, vol.281, issue.1-4, 2000.
DOI : 10.1016/S0378-4371(00)00018-2

S. Galam, Sociophysics: A Physicist's Modeling of Psycho-political Phenomena (Understanding Complex Systems, 2012.
DOI : 10.1007/978-1-4614-2032-3

B. Tadi´ctadi´c, K. Malarz, and K. Ku-lakowski, Magnetization Reversal in Spin Patterns with Complex Geometry, Physical Review Letters, vol.94, issue.13, p.137204, 2005.
DOI : 10.1103/PhysRevLett.94.137204

X. Peng, H. Zhou, B. Wei, J. Cui, J. Du et al., Experimental Observation of Lee-Yang Zeros, Physical Review Letters, vol.114, issue.1, p.10601, 2015.
DOI : 10.1103/PhysRevLett.114.010601

M. Krasnytska, B. Berche, and Y. Holovatch, Phase transitions in the Potts model on complex networks, Phase transitions in the Potts model on complex networks, p.23602, 2013.
DOI : 10.5488/CMP.16.23602

URL : https://hal.archives-ouvertes.fr/hal-01280987

M. Krasnytska, Scaling functions and amplitude ratios for the Potts model on an uncorrelated scale-free network, Condensed Matter Physics, vol.17, issue.2, p.23602, 2014.
DOI : 10.5488/CMP.17.23602

URL : https://hal.archives-ouvertes.fr/hal-01275574

M. Krasnytska, B. Berche, Y. Holovatch, and R. Kenna, On the discontinuity of the specific heat of the Ising model on a scale-free network, Condensed Matter Physics, vol.18, issue.4, 2015.
DOI : 10.5488/CMP.18.44601

URL : https://hal.archives-ouvertes.fr/hal-01285480

M. Krasnytska, B. Berche, Y. Holovatch, R. Kenna, and . Eur, Violation of Lee-Yang circle theorem for Ising phase transitions on complex networks, EPL (Europhysics Letters), vol.111, issue.6, 2015.
DOI : 10.1209/0295-5075/111/60009

URL : https://hal.archives-ouvertes.fr/hal-01285484

M. Krasnytska, B. Berche, Y. Holovatch, R. Kenna, and J. Phys, Partition function zeros for the Ising model on complete graphs and on annealed scale-free networks, Journal of Physics A: Mathematical and Theoretical, vol.49, issue.13, p.135001, 2016.
DOI : 10.1088/1751-8113/49/13/135001

URL : https://hal.archives-ouvertes.fr/hal-01298246

M. Krasnytska, B. Berche, and Y. Holovatch, Scaling functions and critical amplitude ratios for the Potts model on scale-free networks, Proceedings of VI International Conference: Physics of Disordered Systems, 2013.

M. Krasnytska, B. Berche, and Y. Holovatch, Critical behaviour of the Potts model on complex networks Book of abstracts. Christmass discussions 2013, 2013.

M. Krasnytska, B. Berche, and Y. Holovatch, Phase transitions for the Potts model on a complex networks Book of abstracts. 13-th Ukrainian School of young scientists in Statistical Physics and Condensed Matter theory, 2013.

M. Krasnytska, B. Berche, and Y. Holovatch, Scaling functions and amplitude ratios for the Potts model on uncorrelated scale-free network Book of abstracts. 5-th Young Scientists Conference: Problems of Theoretical Physics, 2013.

M. Krasnytska, B. Berche, Y. Holovatch, and R. Kenna, Lee-Yang-Fisher zeros for the Ising model on complex networks, Book of abstracts. MECO-39 Conference, 2014.

M. Krasnytska, B. Berche, Y. Holovatch, and R. Kenna, Lee-Yang-Fisher zeros for the Ising model on complex networks Book of abstracts, 2014.

M. Krasnytska, B. Berche, Y. Holovatch, and R. Kenna, Violation of the Lee-Yang circle theorem for the Ising model on complex network Book of abstracts, 2015.

M. Krasnytska, Zeros for the partition function of the Ising model on scale free networks Book of abstracts. 15-th Ukrainian School of young scientists in Statistical Physics and Condensed Matter theory, Lviv: ICMP NASU, 2015.

M. Krasnytska, B. Berche, Y. Holovatch, and R. Kenna, Violation of Lee-Yang circle theorem for Ising phase transitions on complex networks, EPL (Europhysics Letters), vol.111, issue.6
DOI : 10.1209/0295-5075/111/60009

URL : https://hal.archives-ouvertes.fr/hal-01285484

M. Krasnytska, B. Berche, Y. Holovatch, and R. Kenna, On the discontinuity of the specific heat of the Ising model on a scale-free network, Condensed Matter Physics, vol.18, issue.4
DOI : 10.5488/CMP.18.44601

URL : https://hal.archives-ouvertes.fr/hal-01285480

S. Bornholdt and H. Schuster, Handbook of Graphs and Networks, 2003.
DOI : 10.1002/3527602755

M. Faloutsos, P. Faloutsos, and C. Faloutsos, On power-law relationships of the Internet topology, ACM SIGCOMM Computer Communication Review, vol.29, issue.4, p.251, 1999.
DOI : 10.1145/316194.316229

R. Albert, H. Jeong, and A. Barabási, Diameter of the world wide web, Nature (London), vol.401, issue.130, 1999.

H. Jeong, B. Tombor, R. Albert, Z. N. Oltvai, and A. Barabási, The large-scale organization of metabolic networks, Nature (London), vol.407, issue.651, 2000.

F. Liljeros, C. R. Edling, L. A. Amaral, H. E. Stanley, and Y. Aberg, The web of human sexual contacts, Nature, vol.406, issue.6840, 2001.
DOI : 10.1038/35082140

R. Kumar, P. Raghavan, S. Rajalopagan, and A. Tomkins, Extracting large-scale knowledge bases from the web, Proceedings of 9th ACM Symposium on Principles of Database Systems, 1999.

L. A. Adamic and B. A. Huberman, Power-Law Distribution of the World Wide Web, Science, vol.287, issue.5461, p.2115, 2000.
DOI : 10.1126/science.287.5461.2115a

M. E. Newman, The structure of scientific collaboration networks, Proc. Natl. Acad. Sci. USA. 98, 2001.
DOI : 10.1073/pnas.98.2.404

E. J. Newman, The Structure and Function of Complex Networks, SIAM Review, vol.45, issue.2, 2003.
DOI : 10.1137/S003614450342480

A. L. Barabási, H. Jeong, Z. Neda, E. Ravasz, A. Schubert et al., Statistical mechanics and its applications, 2002.

M. E. Newman, Coauthorship networks and patterns of scientific collaboration, Proc. Natl. Acad. Sci. USA 101, 2004.
DOI : 10.1073/pnas.0307545100

L. A. Amaral, A. Scala, M. Barthelemy, and H. E. Stanley, Classes of small-world networks, Proc. Natl. Acad. Sci. USA 97, p.11149, 2000.
DOI : 10.1073/pnas.200327197

R. Guimera and L. A. Amaral, Modeling the world-wide airport network, The European Physical Journal B - Condensed Matter, vol.38, issue.2, 2004.
DOI : 10.1140/epjb/e2004-00131-0

R. Guimera, S. Mossa, A. Turtschi, and L. A. Amaral, The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles, Proc. Nat. Acad. Sci. USA, 2005.
DOI : 10.1073/pnas.0407994102

. Sci and . Usa, The architecture of complex weighted networks, 2004.

W. Li and X. Cai, Statistical analysis of airport network of China, Physical Review E, vol.69, issue.4, p.46106, 2004.
DOI : 10.1103/PhysRevE.69.046106

M. Guida and F. Maria, Topology of the Italian airport network: A scale-free small-world network with a fractal structure?, Chaos, Solitons & Fractals, vol.31, issue.3, 2007.
DOI : 10.1016/j.chaos.2006.02.007

P. Sen, S. Dasgupta, A. Chatterjee, P. A. Sreeram, G. Mukherjee et al., Small-world properties of the Indian railway network, Physical Review E, vol.67, issue.3, p.36106, 2003.
DOI : 10.1103/PhysRevE.67.036106

V. Latora and M. Marchiori, Efficient Behavior of Small-World Networks, Physical Review Letters, vol.87, issue.19, 2001.
DOI : 10.1103/PhysRevLett.87.198701

V. Latora and M. Marchiori, Is the Boston subway a small-world network?, Physica A: Statistical Mechanics and its Applications, vol.314, issue.1-4, 2002.
DOI : 10.1016/S0378-4371(02)01089-0

K. A. Seaton and L. M. Hackett, Stations, trains and small-world networks, Physica A: Statistical Mechanics and its Applications, vol.339, issue.3-4, 2004.
DOI : 10.1016/j.physa.2004.03.019

J. Sienkiewicz and J. A. Holyst, Log-periodic oscillations due to discrete effects in complex networks, Physical Review E, vol.75, issue.6, p.46127, 2005.
DOI : 10.1103/PhysRevE.75.066102

X. Xu, J. Hu, F. Liu, and L. Liu, Scaling and correlations in three bus-transport networks of China, Physica A: Statistical Mechanics and its Applications, vol.374, issue.1, p.441, 2007.
DOI : 10.1016/j.physa.2006.06.021

R. Brout, Statistical Mechanical Theory of a Random Ferromagnetic System, Physical Review, vol.115, issue.4, 1959.
DOI : 10.1103/PhysRev.115.824

E. A. Bender and E. R. Canfield, The asymptotic number of labelled graphs with given degree sequences, Journ. Comb. Theory A, vol.24, issue.296, 1978.

S. H. Lee, M. Ha, H. Jeong, J. D. Noh, and H. Park, Critical behavior of the Ising model in annealed scale-free networks, Critical Behavior of the Ising Model in Annealed Scale-free Networks, p.51127, 2009.
DOI : 10.1103/PhysRevE.80.051127

G. Bianconi, Superconductor-insulator transition on annealed complex networks, Physical Review E, vol.85, issue.6, p.61113, 2012.
DOI : 10.1103/PhysRevE.85.061113

S. N. Dorogovtsev, A. V. Goltsev, and J. F. Mendes, Ising model on networks with an arbitrary distribution of connections, Physical Review E, vol.66, issue.1, p.16104, 2002.
DOI : 10.1103/PhysRevE.66.016104

S. N. Dorogovtsev, A. V. Goltsev, and J. F. Mendes, Critical phenomena in complex networks, Critical phenomena in complex networks, p.1275, 2008.
DOI : 10.1103/RevModPhys.80.1275

A. Aleksiejuk, J. A. Ho-lyst, and D. Staufer, Ferromagnetic phase transition in Barab??si???Albert networks, Physica A: Statistical Mechanics and its Applications, vol.310, issue.1-2, 2002.
DOI : 10.1016/S0378-4371(02)00740-9

G. Bianconi, Mean field solution of the Ising model on a??Barab??si???Albert network, Physics Letters A, vol.303, issue.2-3, 2002.
DOI : 10.1016/S0375-9601(02)01232-X

F. Y. Wu, The Potts model, Reviews of Modern Physics, vol.54, issue.1, 1982.
DOI : 10.1103/RevModPhys.54.235

E. Müller-hartmann and J. Zittartz, New Type of Phase Transition, Physical Review Letters, vol.33, issue.15, 1974.
DOI : 10.1103/PhysRevLett.33.893

E. Müller-hartmann, J. Zittartz, and Z. Physik, Phase transitions of continuous order: Ising model on a Cayley tree, 1975.

Y. K. Wang and F. U. Wu, Multi-component spin model on a Cayley tree, Journal of Physics A: Mathematical and General, vol.9, issue.4, 1976.
DOI : 10.1088/0305-4470/9/4/016

L. Turban, s-State potts model on a Cayley tree, Physics Letters A, vol.78, issue.4, 1980.
DOI : 10.1016/0375-9601(80)90408-9

N. Ganikhodjaev, F. Mukhamedov, and C. H. Pah, Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice, Physics Letters A, vol.373, issue.1, p.33, 2008.
DOI : 10.1016/j.physleta.2008.10.060

R. J. Baxter, Exactly solved models in statistical physics, 1982.

R. Folk, Y. Holovatch, T. Yavors-'kii, and U. F. Nauk, Critical exponents of a three-dimensional weakly diluted quenched Ising model, 2003.

A. Barrat and M. Weigt, On the properties of small-world network models, The European Physical Journal B, vol.13, issue.3, 2000.
DOI : 10.1007/s100510050067

B. J. Kim, H. Hong, P. Holme, G. S. Jeon, P. Minnhagen et al., model in small-world networks, XY model in small-world networks, p.56135, 2001.
DOI : 10.1103/PhysRevE.64.056135

C. P. Herrero, Ising model in small-world networks, Physical Review E, vol.65, issue.6, p.66110, 2002.
DOI : 10.1103/PhysRevE.65.066110

M. B. Hastings, Mean-Field and Anomalous Behavior on a Small-World Network, Physical Review Letters, vol.91, issue.9, p.98701, 2003.
DOI : 10.1103/PhysRevLett.91.098701

C. P. Herrero, Antiferromagnetic Ising model in small-world networks, Physical Review E, vol.77, issue.4, p.41102, 2008.
DOI : 10.1103/PhysRevE.77.041102

M. E. Newman, Spread of epidemic disease on networks, Physical Review E, vol.66, issue.1, p.16128, 2002.
DOI : 10.1103/PhysRevE.66.016128

C. Song, S. Havlin, and H. A. Makse, Topological self-similarity. Box-covering renormalization in complex networks, Nature (London), vol.433, issue.392, 2005.

A. T. Adai, S. V. Date, S. Wieland, and E. M. Marcotte, LGL: Creating a Map of Protein Function with an Algorithm for Visualizing Very Large Biological Networks, Journal of Molecular Biology, vol.340, issue.1, 2004.
DOI : 10.1016/j.jmb.2004.04.047

L. K. Gallos, C. Song, and H. A. Makse, Scaling of Degree Correlations and Its Influence on Diffusion in Scale-Free Networks, Physical Review Letters, vol.100, issue.24, p.248701, 2008.
DOI : 10.1103/PhysRevLett.100.248701

G. Bianconi and E. P. Lett, Interdisciplinary and physics challenges of network theory, EPL (Europhysics Letters), vol.111, issue.5, 2015.
DOI : 10.1209/0295-5075/111/56001

M. Leone, A. Vázquez, A. Vespignani, R. Zecchina, and . Eur, Ferromagnetic ordering in graphs with arbitrary degree distribution, The European Physical Journal B, vol.28, issue.2, p.191, 2002.
DOI : 10.1140/epjb/e2002-00220-0

V. Palchykov, C. Von-ferber, R. Folk, Y. Holovatch, and R. Kenna, Critical phenomena on scale-free networks: Logarithmic corrections and scaling functions, Physical Review E, vol.82, issue.1, p.11145, 2010.
DOI : 10.1103/PhysRevE.82.011145

S. E. Kenna, Universal Scaling Relations for Logarithmic-Correction Exponents, 2012.
DOI : 10.1142/9789814417891_0001

J. M. Kosterlitz, The critical properties of the two-dimensional xy model, Journal of Physics C: Solid State Physics, vol.7, issue.6, 1974.
DOI : 10.1088/0022-3719/7/6/005

M. Hinczewski and A. N. Berker, Inverted Berezinskii-Kosterlitz-Thouless singularity and high-temperature algebraic order in an Ising model on a scale-free hierarchical-lattice small-world network, Physical Review E, vol.73, issue.6, p.66126, 2006.
DOI : 10.1103/PhysRevE.73.066126

N. A. Araújo, R. F. Andrade, and H. J. Herrmann, -state Potts model on the Apollonian network, Physical Review E, vol.82, issue.4, p.46109, 2010.
DOI : 10.1103/PhysRevE.82.046109

F. Iglói and L. Turban, First- and second-order phase transitions in scale-free networks, Physical Review E, vol.66, issue.3, p.36140, 2002.
DOI : 10.1103/PhysRevE.66.036140

C. Shen, H. Chen, Z. Hou, and H. Xin, Coarse-grained Monte Carlo simulations of the phase transition of the Potts model on weighted networks, Coarsegrained Monte Carlo simulations of the phase transition of the Potts model on weighted networks, p.66109, 2011.
DOI : 10.1103/PhysRevE.83.066109

D. Stauffer and A. Aharony, Introduction to percolation theory, 1991.

B. Bollobás, The Evolution of Random Graphs???the Giant Component, Cambridge Studies in Advanced Mathematics No, vol.73, issue.130, 2001.
DOI : 10.1017/CBO9780511814068.008

. Lett, Network robustness and fragility: Percolation on random graphs, p.5468, 2000.

M. Molloy and B. Reed, A critical point for random graphs with a given degree sequence, Random Structures & Algorithms, vol.3, issue.2-3, 1995.
DOI : 10.1002/rsa.3240060204

R. Albert, H. Jeong, and A. Barabási, Error and attack tolerance of complex networks, Nature, vol.1696, issue.6794, 2000.
DOI : 10.1038/35019019

Y. Tu, How robust is the Internet?, Nature, vol.29, issue.6794, pp.353-354, 2000.
DOI : 10.1038/35019222

R. V. Sole and J. M. Montoya, Complexity and fragility in ecological networks, Proceedings of the Royal Society B: Biological Sciences, vol.268, issue.1480, p.2039, 2001.
DOI : 10.1098/rspb.2001.1767

H. Jeong, S. P. Mason, and A. Barabási, Lethality and centrality in protein networks, Z. N. Oltvai, Nature (London), vol.411, issue.41, 2001.

R. Pastor-satorras and A. Vespignani, Epidemic Spreading in Scale-Free Networks, Physical Review Letters, vol.86, issue.14, 2001.
DOI : 10.1103/PhysRevLett.86.3200

Y. Moreno, R. Pastor-satorras, and A. Vespignani, Epidemic outbreaks in complex heterogeneous networks, The European Physical Journal B, vol.26, issue.4, 2002.
DOI : 10.1140/epjb/e20020122

A. Barabási, R. Albert, and H. Jeong, Mean-field theory for scale-free random networks, Physica A: Statistical Mechanics and its Applications, vol.272, issue.1-2, 1999.
DOI : 10.1016/S0378-4371(99)00291-5

A. V. Goltsev, S. N. Dorogovtsev, and J. F. Mendes, Critical phenomena in networks, Physical Review E, vol.67, issue.2, p.26123, 2003.
DOI : 10.1103/PhysRevE.67.026123

S. V. Buldyrev, R. Parshani, G. Paul, H. E. Stanley, and S. Havlin, Catastrophic cascade of failures in interdependent networks, Nature, vol.80, issue.7291, p.1025, 2010.
DOI : 10.1038/nature08932

R. Parshani, S. V. Buldyrev, and S. Havlin, Interdependent Networks: Reducing the Coupling Strength Leads to a Change from a First to Second Order Percolation Transition, Physical Review Letters, vol.105, issue.4, p.48701, 2010.
DOI : 10.1103/PhysRevLett.105.048701

G. Bianconi, S. N. Dorogovtsev, and J. F. Mendes, Mutually connected component of networks of networks with replica nodes, Physical Review E, vol.91, issue.1, p.12804, 2015.
DOI : 10.1103/PhysRevE.91.012804

K. Suchecki and J. A. Holyst, Ising model on two connected Barabasi-Albert networks, Physical Review E, vol.74, issue.1, p.11122, 2006.
DOI : 10.1103/PhysRevE.74.011122

K. Suchecki, J. A. Holyst, . Phys, and . Rev, Bistable-monostable transition in the Ising model on two connected complex networks, Physical Review E, vol.80, issue.3, p.31110, 2009.
DOI : 10.1103/PhysRevE.80.031110

K. Suchecki and J. A. Holyst, Order Ising model on Connected complex networks In: Order, Disorder and Criticality: Advanced Problems of Phase Transition Theory, 2013.

J. L. Cardy, Finite-Size Scaling. Current Physics -Sources and Comments, J. L. Cardy, vol.12, 1988.

H. Hong, M. Ha, and H. Park, Finite-Size Scaling in Complex Networks, Physical Review Letters, vol.98, issue.25, p.258701, 2007.
DOI : 10.1103/PhysRevLett.98.258701

C. N. Yang and T. D. Lee, Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation, Phys. Rev, vol.87, issue.404, 1952.

T. D. Lee and C. N. Yang, Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model, Physical Review, vol.87, issue.3, p.410, 1952.
DOI : 10.1103/PhysRev.87.410

M. E. Fisher, The nature of critical points: Lecture Notes in Theoretical Physics, 1965.

F. Y. Wu, PROFESSOR C. N. YANG AND STATISTICAL MECHANICS, Professor C. N. Yang and Statistical Mechanics, p.1899, 2008.
DOI : 10.1142/S0217979208039198

I. Bena, M. Droz, and A. Lipowski, STATISTICAL MECHANICS OF EQUILIBRIUM AND NONEQUILIBRIUM PHASE TRANSITIONS: THE YANG???LEE FORMALISM, International Journal of Modern Physics B, vol.19, issue.29, 2005.
DOI : 10.1142/S0217979205032759

C. Itzykson, R. B. Pearson, and J. B. Zuber, Distribution of zeros in Ising and gauge models, Nuclear Physics B, vol.220, issue.4, p.415, 1983.
DOI : 10.1016/0550-3213(83)90499-6

C. Itzykson, J. M. Luck, . Prog, and . Phys, Zeros of the partition function for statistical models on regular and hierarhical lattices, 1985.

R. Abe and . Prog, Logarithmic Singularity of Specific Heat near the Transition Point in the Ising Model, Progress of Theoretical Physics, vol.37, issue.6, 1967.
DOI : 10.1143/PTP.37.1070

W. Janke, D. A. Johnston, and R. Kenna, Properties of higher-order phase transitions, Nuclear Physics B, vol.736, issue.3, p.319, 2006.
DOI : 10.1016/j.nuclphysb.2005.12.013

P. J. Kortman and R. B. Griffiths, Density of Zeros on the Lee-Yang Circle for Two Ising Ferromagnets, Physical Review Letters, vol.27, issue.21, p.1439, 1971.
DOI : 10.1103/PhysRevLett.27.1439

T. S. Nilsen, Yang-Lee distribution of zeros for a Van der Waals gas, Physica, vol.37, issue.1, p.47, 1967.
DOI : 10.1016/0031-8914(67)90104-8

P. C. Hemmer, P. , and H. E. Hiis, Yang-Lee Distribution of Zeros for a van der Waals Gas, Physical Review, vol.133, issue.4A, p.1010, 1964.
DOI : 10.1103/PhysRev.133.A1010

K. C. Lee, Generalized Circle Theorem on Zeros of Partition Function at Asymmetric First-Order Transitions, Physical Review Letters, vol.73, issue.21, p.2801, 1994.
DOI : 10.1103/PhysRevLett.73.2801

M. Biskup, C. Borgs, J. T. Chayes, L. J. Kleinwaks, and R. Koteck´ykoteck´y, General Theory of Lee-Yang Zeros in Models with First-Order Phase Transitions, Physical Review Letters, vol.84, issue.21, p.4794, 2000.
DOI : 10.1103/PhysRevLett.84.4794

X. Z. Wang, J. S. Kim, . Phys, and . Rev, Yang-Lee edge singularity of a one-dimensional Ising ferromagnet with arbitrary spin, Physical Review E, vol.58, issue.4, 1998.
DOI : 10.1103/PhysRevE.58.4174

P. Tong and X. Liu, Chains in a Transverse Field, Physical Review Letters, vol.97, issue.1, p.17201, 2006.
DOI : 10.1103/PhysRevLett.97.017201

M. L. Glasser, V. Privman, and L. S. Schulman, Complex-temperature-plane zeros: Scaling theory and multicritical mean-field models, Physical Review B, vol.35, issue.4, p.1841, 1987.
DOI : 10.1103/PhysRevB.35.1841

H. E. Stanley, Scaling, universality, and renormalization: Three pillars of modern critical phenomena, Rev. Mod. Phys, vol.71, issue.358, 1999.

. Ch and . Binek, Density of Zeros on the Lee-Yang Circle Obtained from Magnetization Data of a Two-Dimensional Ising Ferromagnet, Phys. Rev. Lett, vol.81, issue.5644, 1998.

V. M. Tkachuk, Fundamental problems of quantum mechanics, LNU, 2011.

B. B. Wei and R. B. Liu, Lee-Yang Zeros and Critical Times in Decoherence of a Probe Spin Coupled to a Bath, Physical Review Letters, vol.109, issue.18, p.185701, 2012.
DOI : 10.1103/PhysRevLett.109.185701

B. B. Wei, S. W. Chen, H. C. Po, R. B. Liu, and . Sci, Phase transitions in the complex plane of physical parameters, Scientific Reports, vol.83, issue.5202, 2014.
DOI : 10.1038/srep05202

B. Berche and C. Chatelain, PHASE TRANSITIONS IN TWO-DIMENSIONAL RANDOM POTTS MODELS, 2004.
DOI : 10.1142/9789812565440_0004

C. Chatelain, B. Berche, W. Janke, and P. Berche, Monte Carlo study of phase transitions in the bond-diluted 3D 4-state Potts model, Nuclear Physics B, vol.719, issue.3, 2005.
DOI : 10.1016/j.nuclphysb.2005.05.003

URL : https://hal.archives-ouvertes.fr/hal-00003802

P. W. Kasteleyn, C. M. Fortuin, and J. , Phase transitions in lattice systems with random local properties, Phys. Soc. Jpn, vol.26, issue.11, 1969.

M. R. Giri, M. J. Stephen, and G. S. Grest, Spin models and cluster distributions for bond and site percolation models, Physical Review B, vol.16, issue.11, p.4971, 1977.
DOI : 10.1103/PhysRevB.16.4971

M. J. Stephen, Percolation problems and the Potts model, Physics Letters A, vol.56, issue.3, 1976.
DOI : 10.1016/0375-9601(76)90625-3

A. Aharony and J. Phys, C: Solid State Phys Low-temperature phase diagram and critical properties of a dilute spin glass, p.457, 1978.

A. Aharony, P. Pfeuty, and J. Phys, C: Solid State Phys, Dilute spin glasses at zero temperature and the 1/2-state Potts model, pp.128-133, 1979.

T. C. Lubensky and J. Isaacson, Field theory for the statistics of branched polymers, gelation, and vulcanization, Phys. Rev. Lett, vol.41, issue.12, 1978.

D. Mukamel, M. E. Fisher, and E. Domany, Magnetization of Cubic Ferromagnets and the Three-Component Potts Model, Physical Review Letters, vol.37, issue.10, p.565, 1976.
DOI : 10.1103/PhysRevLett.37.565

S. Alexander and P. , Lattice gas transition of He on Grafoil. A continuous transition with cubic terms, Physics Letters A, vol.54, issue.5, 1975.
DOI : 10.1016/0375-9601(75)90766-5

M. Bretz, Ordered Helium Films on Highly Uniform Graphite???Finite-Size Effects, Critical Parameters, and the Three-State Potts Model, Physical Review Letters, vol.38, issue.9, 1977.
DOI : 10.1103/PhysRevLett.38.501

E. Domany, M. Schick, and J. S. Walker, Classification of Order-Disorder Transitions in Common Adsorbed Systems: Realization of the Four-State Potts Model, Physical Review Letters, vol.38, issue.20, p.1148, 1977.
DOI : 10.1103/PhysRevLett.38.1148

S. Turner and J. A. Sherratt, Intercellular Adhesion and Cancer Invasion: A Discrete Simulation Using the Extended Potts Model, Journal of Theoretical Biology, vol.216, issue.1, 2002.
DOI : 10.1006/jtbi.2001.2522

L. Laanait, A. Messager, S. Miracle-sole, and S. Shlosman, Interfaces in the Potts model I: Pirogov-Sinai theory of the Fortuin-Kasteleyn representation, Communications in Mathematical Physics, vol.II, issue.3, p.81, 1991.
DOI : 10.1007/BF02099291

K. Suchecki, J. A. Ho-lyst, . Phys, and . Rev, Bistable-monostable transition in the Ising model on two connected complex networks, Physical Review E, vol.80, issue.3, p.31110, 2009.
DOI : 10.1103/PhysRevE.80.031110

K. Suchecki and J. A. Ho-lyst, Ising Model on Connected Complex Networks, 2012.
DOI : 10.1142/9789814417891_0004

L. A. Pastur and A. Figotin, Theory of disordered spin systems, Theoretical and Mathematical Physics, vol.37, issue.2, 1978.
DOI : 10.1007/BF01039111

J. J. Hopfield, Neural networks and physical systems with emergent collective computational abilities, Proc. Nat. Acad. Sci. USA, p.2554, 1982.

V. Gayrard, Thermodynamic limit of theqstate Potts-Hopfield model with infinitely many patterns, Journ. Stat. Phys, vol.68, issue.977, 1992.

A. Bovier, V. Gayrard, P. Picco, . T. Probab, and . Relat, Large deviation principles for the Hopfield model and the Kac-Hopfield model, Probability Theory and Related Fields, vol.6, issue.6, 1995.
DOI : 10.1007/BF01202783

C. Von-ferber, R. Folk, Y. Holovatch, R. Kenna, and V. Palchykov, Entropic equation of state and scaling functions near the critical point in uncorrelated scale-free networks, Physical Review E, vol.83, issue.6, p.61114, 2011.
DOI : 10.1103/PhysRevE.83.061114

A. V. Goltsev, S. Dorogovtsev, and J. F. Mendes, Critical phenomena in networks, Physical Review E, vol.67, issue.2, p.26123, 2003.
DOI : 10.1103/PhysRevE.67.026123

R. Cohen, D. Ben-avraham, and S. Havlin, Percolation critical exponents in scale-free networks, Physical Review E, vol.66, issue.3, p.36113, 2002.
DOI : 10.1103/PhysRevE.66.036113

M. E. Fisher, The theory of equilibrium critical phenomena, Reports on Progress in Physics, vol.30, issue.2, p.615, 1967.
DOI : 10.1088/0034-4885/30/2/306

L. P. Kadanof, W. Gitze, D. Hamblen, R. Hecht, E. A. Levis et al., Static Phenomena Near Critical Points: Theory and Experiment, Reviews of Modern Physics, vol.39, issue.2, p.395, 1967.
DOI : 10.1103/RevModPhys.39.395

C. Domb, The critical point, 1996.
DOI : 10.4324/9780203211052

A. Hankey and H. E. Stanley, Systematic Application of Generalized Homogeneous Functions to Static Scaling, Dynamic Scaling, and Universality, Physical Review B, vol.6, issue.9, 1972.
DOI : 10.1103/PhysRevB.6.3515

R. B. Griffiths, Thermodynamic Functions for Fluids and Ferromagnets near the Critical Point, Physical Review, vol.158, issue.1, 1967.
DOI : 10.1103/PhysRev.158.176

B. Widom, Equation of State in the Neighborhood of the Critical Point, The Journal of Chemical Physics, vol.43, issue.11, 1965.
DOI : 10.1063/1.1696618

J. W. Essam, Percolation theory, Reports on Progress in Physics, vol.43, issue.7, 1980.
DOI : 10.1088/0034-4885/43/7/001

D. Stauffer and A. Aharony, Introduction to percolation theory, 1991.

R. Cohen, K. Erez, D. Ben-avraham, and S. Havlin, Breakdown of the Internet under Intentional Attack, Physical Review Letters, vol.86, issue.16, 2001.
DOI : 10.1103/PhysRevLett.86.3682

Y. Moreno, R. Pastor-satorras, and A. Vespignani, Epidemic outbreaks in complex heterogeneous networks, The European Physical Journal B, vol.26, issue.4, 2001.
DOI : 10.1140/epjb/e20020122

T. Hasegawa, An Introduction to Complex Networks, Interdisciplinary Information Sciences, vol.17, issue.3, 2011.
DOI : 10.4036/iis.2011.175

R. Kenna, D. A. Johnston, and W. Janke, Scaling Relations for Logarithmic Corrections, Physical Review Letters, vol.96, issue.11, p.115701, 2006.
DOI : 10.1103/PhysRevLett.96.115701

R. Kenna, D. A. Johnston, and W. Janke, Self-Consistent Scaling Theory for Logarithmic-Correction Exponents, Physical Review Letters, vol.97, issue.15, p.115702, 2006.
DOI : 10.1103/PhysRevLett.97.155702

H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, 1971.

P. H. Lundow and K. Markström, The discontinuity of the specific heat for the 5D Ising model, Nuclear Physics B, vol.895, issue.305, 2015.
DOI : 10.1016/j.nuclphysb.2015.04.013

M. L. Glasser, L. S. Privman, and . Schulman, Complex temperature plane zeros in the mean-field approximation, Journal of Statistical Physics, vol.123, issue.3-4, p.451, 1986.
DOI : 10.1007/BF01021081

M. Kac, Mathematical Mechanisms of Phase Transitions Statistical Physics: Phase Transitions and Superfluidity, 1968.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Eighth edition), 2014.

W. Janke, R. Kenna, and J. Stat, The Strength of First and Second Order Phase Transitions from Partition Function Zeroes, Phys, vol.102, p.1211, 2001.

A. Gordillo-guerrero, R. J. Kenna, and . Ruiz-lorenzo, Scaling behavior of the Heisenberg model in three dimensions, Physical Review E, vol.88, issue.6, p.62117, 2013.
DOI : 10.1103/PhysRevE.88.062117

J. B. Zuber, Non-perturbative Field Theory and QCD, Trieste, Proceedings SACLAY-SPH-T-83-004 CEA-CONF-6639, 1982.

M. V. Fedoryuk, Asymptotic Methods in Analysis (Analysis I Encyclopaedia of Mathematical Sciences,vol 13), 1989.

E. H. Lieb and A. D. Sokal, A general Lee- Yang theorem for one-component and multicomponent ferromagnets, Commun. Math. Phys, vol.80, issue.153, 1981.

. Yu and . Kozitsky, Hierarchical ferromagnetic vector spin model possessing the Lee-Yang property. Thermodynamic limit at the critical point and above, J. Stat. Phys, vol.87, issue.34, 1997.

W. Aiello, F. Chung, L. Lu, and E. Math, A Random Graph Model for Power Law Graphs, Experimental Mathematics, vol.2, issue.1, p.53, 2001.
DOI : 10.1016/S0095-8956(81)80021-4

M. Boguna, R. Pastor-satorras, and A. Vespignani, Cut-offs and finite size effects in scale-free networks, Eur. Phys. J. B, vol.38, issue.205, 2004.