A leapfrog strategy for pursuit-evasion in a polygonal environment, Int. J. Comput. Geometry Appl, vol.25, issue.2, pp.77-100, 2015. ,
Non-deterministic graph searching in trees, Theoretical Computer Science, vol.580, pp.101-121, 2015. ,
DOI : 10.1016/j.tcs.2015.02.038
URL : https://hal.archives-ouvertes.fr/hal-01132032
Arc Searching Digraphs Without Jumping, Proc. of first int. conf. on Combinatorial Optimization and Applications (COCOA), pp.354-365, 2007. ,
DOI : 10.1007/978-3-540-73556-4_37
Directed tree-width examples, Journal of Combinatorial Theory, Series B, vol.97, issue.5, pp.718-725, 2007. ,
DOI : 10.1016/j.jctb.2006.12.006
DAG-width is PSPACE-complete, Theoretical Computer Science, vol.655, issue.59, pp.78-8965, 2004. ,
DOI : 10.1016/j.tcs.2016.09.011
Directed Path-width and Monotonicity in Digraph Searching, Graphs and Combinatorics, vol.22, issue.2, pp.161-172, 2006. ,
DOI : 10.1007/s00373-005-0627-y
Brief Announcement: Distributed Exclusive and Perpetual Tree Searching, Proc. of 26th International Symposium on Distributed Computing (DISC), pp.403-404, 2012. ,
DOI : 10.1007/978-3-642-33651-5_29
URL : https://hal.archives-ouvertes.fr/hal-00741982
Exclusive graph searching The dag-width of directed graphs, Algorithmica J. Comb. Theory, Ser. B, vol.77, issue.1024, pp.942-969900, 2012. ,
Distributed graph searching with a sense of direction, Distributed Computing, pp.155-170, 2015. ,
DOI : 10.1007/11753728_58
URL : https://link.springer.com/content/pdf/10.1007%2Fs00446-014-0236-1.pdf
Approximation of pathwidth of outerplanar graphs, J. Algorithms, vol.43, issue.2, pp.190-200, 2002. ,
Connected graph searching, Inf. Comput, vol.219, pp.1-16, 2012. ,
Capture of an intruder by mobile agents, Proc. of the 14th Annual ACM Symposium on Parallel Algorithms and Architectures (SPAA), pp.200-209, 2002. ,
(meta) kernelization, 50th Annual IEEE Symposium on Foundations of Computer Science (FOCS), pp.629-638, 2009. ,
Distributed chasing of network intruders, Theoretical Computer Science, vol.399, issue.1-2, pp.12-37, 2008. ,
DOI : 10.1016/j.tcs.2008.02.004
URL : https://hal.archives-ouvertes.fr/hal-01310347
Searching is not jumping, Proc. of 29th International Workshop on Graph-Theoretic Concepts in Computer Science (WG), pp.34-45, 2003. ,
Contraction obstructions for connected graph searching Graph searching and search time [Bie91] Daniel Bienstock. Graph searching, path-width, tree-width and related problems (A survey), 32nd Conference on Current Trends Proc. of Reliability Of Computer And Communication Networks of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, pp.27-47, 1991. ,
DOI : 10.1016/j.dam.2015.07.036
URL : http://arxiv.org/pdf/1410.8756
Efficient and constructive algorithms for the pathwidth and treewidth of graphs, J. Algorithms, vol.21, issue.2, pp.358-402, 1996. ,
Capturing an evader in polygonal environments with obstacles: The full visibility case, BLS99] Andreas Brandstädt, pp.1176-1189, 1999. ,
DOI : 10.1287/mnsc.17.11.712
The pathwidth and treewidth of cographs, SIAM J. Discrete Math, vol.6, issue.2, pp.181-188, 1993. ,
Efficient self-stabilizing graph searching in tree networks The game of Cops and Robber on Graphs, Proc. of 12th Int. Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS), pp.111-125, 2010. ,
A partial k -arboretum of graphs with bounded treewidth, Theor. Comput. Sci, vol.209, issue.12, pp.1-45, 1998. ,
An intuitive approach to speleotopology, Southwestern Cavers, vol.6, pp.72-78, 1967. ,
Lost in a Cave: applying graph theory to cave exploration. Greyhound press, 2012. ,
Quickly excluding a forest, BS91] Daniel Bienstock and Paul D. Seymour. Monotonicity in graph searching, pp.274-283, 1991. ,
DOI : 10.1016/0095-8956(91)90068-U
URL : https://doi.org/10.1016/0095-8956(91)90068-u
, J. Algorithms, vol.12, issue.2, pp.239-245, 1991.
Computing small search numbers in linear time, Proc. of First Int. Workshop on Parameterized and Exact Computation (IWPEC), pp.37-48, 2004. ,
Algorithms and complexity results for graph-based pursuit evasion, Autonomous Robots, vol.18, issue.5, pp.317-332, 2011. ,
DOI : 10.1109/TRA.2002.804040
Tradeoffs in process strategy games with application in the WDM reconfiguration problem, Theoretical Computer Science, vol.412, issue.35, pp.4675-4687, 2011. ,
DOI : 10.1016/j.tcs.2011.05.002
A tie-break model for graph search, Michal Pilipczuk, and Saket Saurabh. Parameterized Algorithms, pp.89-100, 2015. ,
Search and pursuit-evasion in mobile robotics, Autonomous Robots, vol.21, issue.1, pp.299-316, 2011. ,
DOI : 10.1109/ROBOT.2005.1570598
URL : http://www-users.cs.umn.edu/~isler/pub/pe-survey.pdf
Reconfiguration of the Routing in WDM Networks with Two Classes of Services, Conference on Optical Network Design and Modeling (ONDM), 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00423453
A Distributed Algorithm for Computing the Node Search Number in Trees, Algorithmica, vol.47, issue.1, pp.158-190, 2012. ,
DOI : 10.1016/S0196-6774(02)00225-0
URL : https://hal.archives-ouvertes.fr/inria-00587819
Pathwidth of outerplanar graphs The treewidth and pathwidth of hypercubes Monadic second-order evaluations on tree-decomposable graphs, Journal of Graph Theory Discrete Mathematics Theor. Comput. Sci, vol.55, issue.1091&2, pp.27-41359, 1993. ,
A note on Integer Linear Programming formulations for linear ordering problems on graphs Research report, Inria ; I3S [CS11] David Coudert and Jean-Sébastien Sereni. Characterization of graphs and digraphs with small process numbers On minimum cost edge searching Three-fastsearchable graphs, Der09] Dariusz Dereniowski. Maximum vertex occupation time and inert fugitive: Recontamination does help, pp.1-3, 2009. ,
Approximate search strategies for weighted trees, Theoretical Computer Science, vol.463, pp.96-113, 2012. ,
DOI : 10.1016/j.tcs.2012.07.006
URL : https://doi.org/10.1016/j.tcs.2012.07.006
From Pathwidth to Connected Pathwidth, SIAM Journal on Discrete Mathematics, vol.26, issue.4, pp.1709-1732, 2012. ,
DOI : 10.1137/110826424
URL : https://hal.archives-ouvertes.fr/hal-00573616
Network Decontamination with Temporal Immunity by Cellular Automata, Proc. of 9th Int. Conference on Cellular Automata for Research and Industry (ACRI), pp.287-299, 2010. ,
DOI : 10.1145/42267.42268
The bidimensionality theory and its algorithmic applications Graph Theory, 4th Edition, volume 173 of Graduate texts in mathematics Exact and approximate solutions for the gate matrix layout problem, Die12] Reinhard DiestelDJS16] Yassine Daadaa, Asif Jamshed, and Mudassir Shabbir. Network decontamination with a single agent. Graphs and CombinatoricsDKL87] Narsingh Deo, pp.292-302559, 1987. ,
Fugitive-search games on graphs and related parameters, Theoretical Computer Science, vol.172, issue.1-2, pp.233-254, 1997. ,
DOI : 10.1016/S0304-3975(96)00177-6
URL : https://doi.org/10.1016/s0304-3975(96)00177-6
The complexity of minimum-length path decompositions, Journal of Computer and System Sciences, vol.81, issue.8, pp.1715-1747, 2015. ,
DOI : 10.1016/j.jcss.2015.06.011
URL : http://arxiv.org/pdf/1302.2788
A unified approach for gathering and exclusive searching on rings under weak assumptions . Distributed Computing, DOR18] Dariusz Dereniowski, Dorota Osula, and Pawé l Rzazewski. Finding small-width connected path decompositions in polynomial time. CoRR, pp.17-48, 2017. ,
Computing on rings by oblivious robots: A unified approach for different tasks, DU16] Dariusz Dereniowski and Dorota Urbanska. Distributed searching of partial grids. CoRR, abs, pp.1055-1096, 1458. ,
On the Fast Searching Problem, Proc. of 4th Int. Conference on Algorithmic Aspects in Information and Management (AAIM), pp.143-154, 2008. ,
DOI : 10.1007/978-3-540-68880-8_15
D-width and cops and robbers ,
Computing the vertex separation of unicyclic graphs, Inf. Comput, vol.192, issue.2, pp.123-161, 2004. ,
Graph separation and search number, 1987. ,
DOI : 10.1006/inco.1994.1064
URL : https://doi.org/10.1006/inco.1994.1064
The Vertex Separation and Search Number of a Graph, Information and Computation, vol.113, issue.1, pp.50-79, 1994. ,
DOI : 10.1006/inco.1994.1064
Nondeterministic graph searching: From pathwidth to treewidth, Algorithmica, vol.53, issue.3, pp.358-373, 2009. ,
Graph searching and interval completion, SIAM J. Discrete Math, vol.13, issue.4, pp.454-464, 2000. ,
DECONTAMINATING CHORDAL RINGS AND TORI USING MOBILE AGENTS, International Journal of Foundations of Computer Science, vol.27, issue.03, pp.547-563, 2007. ,
DOI : 10.1016/S1389-1286(00)00136-5
Decontamination of hypercubes by mobile agents, Networks, vol.3341, issue.3, pp.167-178, 2008. ,
DOI : 10.1007/3-540-45071-8_39
URL : http://www.site.uottawa.ca/~flocchin/Papers/Networks07.pdf
Mixed search number and linear-width of interval and split graphs, Networks, vol.56, issue.3, pp.207-214, 2010. ,
Graph searching , elimination trees, and a generalization of bandwidth, Algorithmica, vol.41, issue.2, pp.73-87, 2005. ,
Oracle size, Proceedings of the twenty-fifth annual ACM symposium on Principles of distributed computing , PODC '06, pp.179-187, 2006. ,
DOI : 10.1145/1146381.1146410
URL : https://hal.archives-ouvertes.fr/hal-00339854
On search, decision, and the efficiency of polynomial-time algorithms, J. Comput. Syst. Sci, vol.49, issue.3, pp.769-779, 1994. ,
Network decontamination under <mml:math altimg="si60.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>m</mml:mi></mml:math>-immunity, Proc. of the Int. Conference on Communications in Computing (CIC), pp.114-129, 2005. ,
DOI : 10.1016/j.dam.2015.07.020
Excluded grid minors and efficient polynomial-time approximation schemes, J. ACM, vol.6510, issue.2, pp.1-1044, 2018. ,
Tree Decontamination with Temporary Immunity, Proc. of 19th Int. Symposium on Algorithms and Computation (ISAAC), pp.330-341, 2008. ,
DOI : 10.1007/BFb0055153
URL : http://www.comp.mq.edu.au/~bmans/BMans/Papers/FMS_ISAAC08.pdf
Monotony properties of connected visible graph searching, Information and Computation, vol.206, issue.12, pp.1383-1393, 2008. ,
DOI : 10.1016/j.ic.2008.09.002
URL : https://hal.archives-ouvertes.fr/inria-00423449
Decontamination of Arbitrary Networks using a Team of Mobile Agents with Limited Visibility, 6th IEEE/ACIS International Conference on Computer and Information Science (ICIS 2007), pp.469-474, 2007. ,
DOI : 10.1109/ICIS.2007.87
Helicopter search problems, bandwidth and pathwidth, Discrete Applied Mathematics, vol.85, issue.1, pp.59-70, 1998. ,
Note on a helicopter search problem on graphs, Discrete Applied Mathematics, vol.95, issue.1-3, pp.241-249, 1999. ,
Searching expenditure and interval graphs Distributed security algorithms by mobile agents, Distributed Computing and Networking, 8th International Conference, ICDCN, pp.97-104, 2004. ,
An annotated bibliography on guaranteed graph searching, Theor. Comput. Sci, vol.399, issue.3, pp.236-245, 2008. ,
Connected graph searching in outerplanar graphs, Electronic Notes in Discrete Mathematics, vol.22, pp.213-216, 2005. ,
Are there any good digraph width measures?, Journal of Combinatorial Theory, Series B, vol.116, pp.250-286, 2016. ,
DOI : 10.1016/j.jctb.2015.09.001
URL : http://arxiv.org/pdf/1004.1485
Edge search number of cographs, Discrete Applied Mathematics, vol.160, issue.6, pp.734-743, 2012. ,
DOI : 10.1016/j.dam.2011.04.020
URL : https://doi.org/10.1016/j.dam.2011.04.020
Lifosearch: A min-max theorem and a searching game for cycle-rank and treedepth A visibility-based pursuit-evasion problem, Discrete Applied Mathematics Int. J. Comput. Geometry Appl, vol.160, issue.945, pp.2089-2097471, 1999. ,
Equivalence of two formalizations of a search problem on a graph, pp.13-19, 1989. ,
On the pathwidth of chordal graphs Digraph measures: Kelly decompositions , games, and orderings [HM08] Pinar Heggernes and Rodica Mihai. Mixed search number of permutation graphs The cost of monotonicity in distributed graph searching Capturing an intruder in product networks, Proc. of Second Annual IntISZ07] Navid ImaniISZ08] Navid Imani, Hamid Sarbazi-Azad, and Albert Y. Zomaya. Intruder capturing in mesh and torus networks, pp.657-661233, 1989. ,
Directed Tree-Width, Journal of Combinatorial Theory, Series B, vol.82, issue.1, pp.138-154, 2001. ,
DOI : 10.1006/jctb.2000.2031
URL : https://doi.org/10.1006/jctb.2000.2031
The vertex separation number of a graph equals its pathwidth, Inform. Process. Lett, 1992. ,
DOI : 10.1016/0020-0190(92)90234-m
Approximation algorithms for digraph width parameters, Kirousis and Christos H. Papadimitriou. Interval graphs and searching. Discrete Mathematics, pp.365-376138, 1985. ,
DOI : 10.1016/j.tcs.2014.10.009
URL : http://arxiv.org/pdf/1107.4824
Searching and pebbling, Theor. Comput. Sci, vol.47, issue.3, pp.205-218, 1986. ,
Pursuit Evasion on Polyhedral Surfaces, Algorithmica, vol.21, issue.1???2, pp.730-747, 2015. ,
DOI : 10.1137/0221051
Recontamination does not help to search a graph Network decontamination with local immunization Contiguous search problem in sierpinski graphs, Proc. of 20th Int. Parallel and Distributed Processing Symposium (IPDPS). IEEE, 2006. [Luc09] Flaminia L. Luccio, pp.224-245186, 1993. ,
Linear Ordering Based MIP Formulations for the Vertex Separation or Pathwidth Problem, Proc. of 28th Int. Workshop on Combinatorial Algorithms (IWOCA), pp.327-340, 2018. ,
DOI : 10.1016/j.dam.2007.08.045
The complexity of searching a graph [MM09] Rodica Mihai and Morten Mjelde. A self-stabilizing algorithm for graph searching in trees Monotonicity of non-deterministic graph searching, Proc. of 11th Int. Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)MN08] Frédéric Mazoit and Nicolas Nisse, pp.18-44, 1988. ,
Exclusive graph searching vs. pathwidth Monien and I.H. Sudborough. Min cut is np-complete for edge weighted trees, MT09] Rodica Mihai and Ioan Todinca, pp.243-260209, 1988. ,
URL : https://hal.archives-ouvertes.fr/hal-00980877
, Proc. of Third International Workshop on Frontiers in Algorithmics, pp.181-195
Recognizing digraphs of Kelly-width 2, Discrete Applied Mathematics, vol.158, issue.7, pp.741-746, 2010. ,
DOI : 10.1016/j.dam.2009.09.018
Connected graph searching in chordal graphs Algorithmic complexity: Between Structure and Knowledge How Pursuit-evasion Games help. 2014. HabilitationàHabilitation`Habilitationà Diriger des Recherches Graph searching with advice On the monotonicity of process number, Eur. J. Comb. Discrete Applied Mathematics Theor. Comput. Sci. Discrete Applied Mathematics, vol.29, issue.210, pp.760-7762603, 2008. ,
Pursuit-evasion in a graph, International Conference on Theory and applications of graphs, pp.426-441, 1978. ,
DOI : 10.1007/BFb0070400
The search number of a connected graph, 9th Southeastern Conf. on Combinatorics, Graph Theory, and Computing, Congress. Numer., XXI, pp.549-554, 1978. ,
A problem of pursuit in the absence of information on the pursued Edge and node searching problems on trees, Differ. Uravn. Theor. Comput . Sci, vol.18, issue.2402, pp.1345-1352429, 1982. ,
Integer programming models and algorithms for the graph decontamination problem with mobile agents Graph searching on some subclasses of chordal graphs [PY07] Sheng-Lung Peng and Yi-Chuan Yang. On the treewidth and pathwidth of biconvex bipartite graphs, PTK + 00] Sheng-Lung Peng, Proc. of 4th Int. on Theory and Applications of Models of ComputationRS83] Neil Robertson and Paul D. Seymour. Graph minors. I. excluding a forest, pp.611-19395, 2000. ,
DOI : 10.1002/net.21460
Graph minors. IV. tree-width and well-quasi-ordering Graph minors XIII. the disjoint paths problem Graph minors. XX. wagner's conjecture Searching for a visible, lazy fugitive D-width: A more natural measure for directed tree width Capturing an intruder in the pyramid Construction of linear tree-layouts which are optimal with respect to vertex separation in linear time, Saf05] Mohammad Ali Safari 30th International Symposium on Mathematical Foundations of Computer Science (MFCS)SIS06] Pooya Shareghi, Navid Imani, Proc. of First Int. Computer Science Symposium in Russia on Computer Science -Theory and Applications (CSR), pp.39-61227, 1983. ,
Graph searching and a min-max theorem for tree-width, J. Comb. Theory, Ser. B, vol.58, issue.1, pp.22-33, 1993. ,
Pathwidth of Circular-Arc Graphs, 33rd International Workshop on Graph-Theoretic Concepts in Computer Science (WG), pp.258-269 ,
DOI : 10.1007/978-3-540-74839-7_25
URL : https://hal.archives-ouvertes.fr/hal-00462302
,
, Proc. of 4th Int. Workshop on Parameterized and Exact Computation, pp.324-335, 2009.
Lower bounds on fast searching Fast searching games on graphs Algorithms and obstructions for linear-width and related search parameters, Proc. of 20th Int. Symposium on Algorithms and Computation (ISAAC), volume 5878 of Lecture Notes in Computer Science, pp.964-973763, 2000. ,
Mixed searching and proper-path-width, Theoretical Computer Science, vol.137, issue.2, pp.253-268, 1995. ,
DOI : 10.1016/0304-3975(94)00160-K
Inapproximability of treewidth and related problems, J. Artif. Intell. Res, vol.49, pp.569-600, 2014. ,
The fast search number of a Cartesian product of graphs, Discrete Applied Mathematics, vol.224, pp.106-119, 2017. ,
DOI : 10.1016/j.dam.2017.03.003
Fast Searching on Complete k-partite Graphs, Proc. of 10th Int. Conference on Combinatorial Optimization and Applications (COCOA), volume 10043 of Lecture Notes in Computer Science, pp.159-174, 2016. ,
DOI : 10.1016/j.tcs.2010.12.065
Strong-mixed searching and pathwidth, Journal of Combinatorial Optimization, vol.137, issue.35, pp.47-59, 2007. ,
DOI : 10.1007/s10878-006-9013-9
Fast edge searching and fast searching on graphs, Theoretical Computer Science, vol.412, issue.12-14, pp.12-141208, 2011. ,
DOI : 10.1016/j.tcs.2010.12.065
Fast???mixed searching and related problems on graphs, Theoretical Computer Science, vol.507, pp.100-113, 2013. ,
DOI : 10.1016/j.tcs.2013.04.015
Directed Searching Digraphs: Monotonicity and Complexity, Proc. of 4th International Conference Theory and Applications of Models of Computation (TAMC), pp.136-147, 2007. ,
DOI : 10.1007/978-3-540-72504-6_12
Monotonicity of strong searching on digraphs, Journal of Combinatorial Optimization, vol.35, issue.4, pp.411-425, 2007. ,
DOI : 10.1007/s10878-007-9042-z
Digraph searching, directed vertex separation and directed pathwidth, Discrete Applied Mathematics, vol.156, issue.10, pp.1822-1837, 2008. ,
DOI : 10.1016/j.dam.2007.08.045
Monotonicity in digraph search problems, Theoretical Computer Science, vol.407, issue.1-3, pp.532-544, 2008. ,
DOI : 10.1016/j.tcs.2008.08.025
On the Monotonicity of Weak Searching, Proc. of 14th Annual Int. Conference on Computing and Combinatorics (COCOON), pp.52-61, 2008. ,
DOI : 10.1007/978-3-540-69733-6_6
Standard directed search strategies and their applications, Journal of Combinatorial Optimization, vol.4, issue.4, pp.378-399, 2009. ,
DOI : 10.1007/978-3-540-30551-4_77
Sweeping graphs with large clique number, Discrete Mathematics, vol.309, issue.18, pp.5770-5780, 2009. ,
DOI : 10.1016/j.disc.2008.05.033
URL : https://doi.org/10.1016/j.disc.2008.05.033
Searching Cycle-Disjoint Graphs, Proc of first int. Conference on Combinatorial Optimization and Applications (COCOA), pp.32-43, 2007. ,
DOI : 10.1007/978-3-540-73556-4_6