Algorithme pour les problèmes à une seule contrainte, p.155 ,
nous commençons par abstraire la technique trier-et-chercher puis nous la généralisons . Essentiellement, nous montrons qu'il est possible de considérer des problèmes à plusieurs contraintes et de continuer d'utiliser l'approche ,
An exact algorithm for connected red-blue dominating set, J. Discrete Algorithms, vol.9, issue.3, pp.252-262, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00461066
High Degree Graphs Contain Large-Star Factors, KATONA, pp.9-21, 2010. ,
Computational Complexity : A Modern Approach, 2009. ,
A finite-difference sieve to count paths and cycles by length, Information Processing Letters, vol.60, issue.4, pp.171-176, 1996. ,
Finding Maximum Independent Sets in Sparse and General Graphs, TARJAN Proceedings of the Tenth Annual ACM-SIAM Symposium on Discrete Algorithms, pp.856-857, 1999. ,
3-coloring in time O(1.3289 n ), J. Algorithms, vol.54, issue.2, pp.168-204, 2005. ,
Computational Geometry : Algorithms and Applications, pp.157-158, 2008. ,
On Approximation Properties of the Independent Set Problem for Low Degree Graphs, Theory of Computing Systems, vol.32, issue.2, pp.115-132, 1999. ,
DOI : 10.1007/s002240000113
Exact and Parameterized Algorithms for Max Internal Spanning Tree, Algorithmica, vol.65, issue.1, pp.95-128, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00942924
Fourier meets Möbius : fast subset convolution, Proceedings of the 39th Annual ACM Symposium on Theory of Computing, pp.67-74, 2007. ,
Set Partitioning via Inclusion-Exclusion, 2009. ,
Scheduling subject to resource constraints : classification and complexity, Discrete Applied Mathematics, vol.5, issue.1, pp.11-24, 1983. ,
Approximations for lambda-Colorings of Graphs, Comput. J, vol.47, issue.2, pp.193-204, 2004. ,
Planar Capacitated Dominating Set Is W[1]-Hard, pp.50-60, 2009. ,
Algorithmes exponentiels pour la résolution exacte et approchée de problèmes NP-difficiles, 2009. ,
Fast Algorithms for max independent set, Algorithmica, vol.7, issue.3, pp.382-415, 2012. ,
DOI : 10.1007/s00453-010-9460-7
URL : https://hal.archives-ouvertes.fr/hal-00880187
Graph Classes : A Survey, Monographs on Discrete Mathematics and Applications. Society for Industrial and Applied Mathematics, 1999. ,
Graph Classes : A Survey, Monographs on Discrete Mathematics and Applications. Society for Industrial and Applied Mathematics, pp.8-11, 1999. ,
Algorithms and Computation -24th International Symposium, Proceedings, pp.182-186, 2013. ,
The L(2, 1)-Labeling Problem on Graphs, SIAM J. Discrete Math, vol.9, issue.2, pp.309-316, 1996. ,
Parameterized and Exact Computation, Lecture Notes in Computer Science, vol.5917, pp.176-182, 2009. ,
On the Complexity of Global Scheduling Constraints under Structural Restrictions, IJCAI 2013, Proceedings of the 23rd International Joint Conference on Artificial Intelligence, 2013. ,
Introduction to Algorithms, pp.27-89, 2009. ,
Colorings with few Colors : Counting, Enumeration and Combinatorial Bounds, Theory Comput. Syst, vol.52, issue.52, pp.645-667, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00942919
On the number of minimal dominating sets on some graph classes, Theor. Comput. Sci, vol.562, issue.120, pp.634-642, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01105097
Minimal Dominating Sets in Graph Classes : Combinatorial Bounds and Enumeration, BIELIKOVÁ, pp.202-213, 2012. ,
Minimal dominating sets in graph classes : Combinatorial bounds and enumeration, Theoretical Computer Science, vol.487, issue.120, pp.82-94, 2013. ,
Channel assignment via fast zeta transform, Inf. Process. Lett, vol.111, issue.15, pp.727-730, 2011. ,
Scheduling Partially Ordered Jobs Faster than 2 n, Algorithmica, vol.68, issue.3, pp.692-714, 2014. ,
Capacitated domination faster than O(2 n ), Inf. Process. Lett, vol.111, issue.109, pp.23-241099, 2011. ,
A machine program for theorem-proving, Communications of the ACM, vol.5, issue.7, pp.394-397, 1962. ,
Information System on Graph Classes and their Inclusions (ISGCI), 2015. ,
Capacitated Domination and Covering : A Parameterized Perspective, Parameterized and Exact Computation, Third International Workshop, pp.78-90, 2008. ,
Parameterized Complexity. Monographs in Computer Science, pp.19-105, 1999. ,
The steiner problem in graphs, Networks, vol.1, issue.3, pp.195-207, 1971. ,
k-L(2, 1)-labelling for planar graphs is NPcomplete for k ? 4, Discrete Applied Mathematics, vol.158, issue.16, pp.1777-1788, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00360505
The Traveling Salesman Problem for Cubic Graphs, DEHNE Algorithms and Data Structures Proceedings, volume 2748 of Lecture Notes in Computer Science, pp.307-318, 2003. ,
An exact algorithm for the Maximum Leaf Spanning Tree problem, Theor. Comput. Sci, vol.412, issue.45, pp.6290-6302, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00460824
Distance Constrained Labelings of Graphs of Bounded Treewidth, CAIRES Automata, Languages and Programming, 32nd International Colloquium, ICALP 2005 Proceedings, pp.360-372, 2005. ,
Computational Complexity of the Distance Constrained Labeling Problem for Trees (Extended Abstract), Automata, Languages and Programming, 35th International Colloquium Proceedings, Part I : Tack A : Algorithms, Automata, Complexity, and Games, pp.294-305, 2008. ,
Fixed-parameter complexity of lambda-labelings, Discrete Applied Mathematics, vol.113, issue.1, pp.59-72, 2001. ,
Partial covers of graphs, Discussiones Mathematicae Graph Theory, pp.89-99, 2002. ,
On the computational complexity of partial covers of Theta graphs, Discrete Applied Mathematics, vol.156, issue.7, pp.1143-1149, 2008. ,
On the Minimum Feedback Vertex Set Problem : Exact and Enumeration Algorithms, Algorithmica, vol.52, issue.2, pp.293-307, 2008. ,
On Two Techniques of Combining Branching and Treewidth, Algorithmica, vol.54, issue.2, pp.181-207, 2009. ,
URL : https://hal.archives-ouvertes.fr/lirmm-00399668
Sort and Search : Exact algorithms for generalized domination, Inf. Process. Lett, vol.109, issue.14, pp.795-798, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00460850
Branch and Recharge : Exact Algorithms for Generalized Domination, Algorithmica, issue.2, pp.61252-273, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00460736
Some New Techniques in Design and Analysis of Exact (Exponential) Algorithms, Bulletin of the EATCS, vol.87, pp.47-77, 2005. ,
A Measure & Conquer Approach for the Analysis of Exact Algorithms, J. ACM, vol.5625, issue.5 2, pp.1-25, 2009. ,
Combinatorial bounds via measure and conquer : Bounding minimal dominating sets and applications, ACM Transactions on Algorithms, vol.5, issue.1, pp.5-120, 2008. ,
Enumerating Minimal Subset Feedback Vertex Sets, Lecture Notes in Computer Science, vol.6844, pp.399-410, 2011. ,
08431 Open Problems -Moderately Exponential Time Algorithms, Moderately Exponential Time Algorithms 08431 of Dagstuhl Seminar Proceedings. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2008. ,
Exact exponential algorithms, Commun. ACM, vol.56, issue.3, pp.80-88, 2013. ,
Exact Exponential Algorithms, pp.48-130, 2010. ,
Exact (Exponential) Algorithms for the Dominating Set Problem, HROMKOVIC Graph- Theoretic Concepts in Computer Science, 30th International Workshop, pp.245-256, 2004. ,
Finding Induced Subgraphs via Minimal Triangulations, STACS, volume 5 of LIPIcs Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik, pp.383-394, 2010. ,
Computers and Intractability : A Guide to the Theory of NP-Completeness, W. H. Freeman, pp.8-11, 1979. ,
The Complexity of Flowshop and Jobshop Scheduling, Mathematics of Operations Research, vol.1, issue.2, pp.117-129, 1976. ,
On Independent Sets and Bicliques in Graphs, Algorithmica, vol.62, issue.3-4 2, pp.637-658, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00460773
A Branch-and-Reduce Algorithm for Finding a Minimum Independent Dominating Set, Discrete Mathematics & Theoretical Computer Science, vol.14, issue.1, pp.29-42, 2012. ,
On the Number of Minimal Separators in Graphs, 2015. ,
A universally fastest algorithm for Max 2-Sat, Max 2-CSP, and everything in between, J. Comput. Syst. Sci, vol.78, issue.1, pp.305-335, 2012. ,
Enumerating minimal connected dominating sets in graphs of bounded chordality, Parameterized and Exact Computation -10th International Symposium, IPEC 2015, pp.107-121, 2015. ,
Colorings with Few Colors : Counting, Enumeration and Combinatorial Bounds, Graph Theoretic Concepts in Computer Science -36th International Workshop, WG 2010, pp.39-50, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00942919
Optimization and approximation in deterministic sequencing and scheduling : a survey, Annals of discrete mathematics, vol.5, issue.2, pp.287-326, 1979. ,
Labelling Graphs with a Condition at Distance 2, SIAM J. Discrete Math, vol.5, issue.4, pp.586-595, 1992. ,
Solving the job-shop scheduling problem optimally by dynamic programming, Computers & OR, vol.39, issue.12, pp.2968-2977, 2012. ,
Expected Computation Time for Hamiltonian Path Problem, SIAM J. Comput, vol.16, issue.3, pp.486-502, 1987. ,
A Linear Time Algorithm for L(2, 1)-Labeling of Trees, Algorithmica, vol.66, issue.3, pp.654-681, 2013. ,
Exact Algorithms for L(2, 1)-Labeling of Graphs, Algorithmica, vol.59, issue.46, pp.169-194, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00460873
L(2, 1)-labelling of graphs, Proceedings of the Nineteenth Annual ACM-SIAM Symposium on Discrete Algorithms, pp.621-630, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00486183
Griggs and Yeh's Conjecture and, p.1, 2012. ,
Domination in graphs : advanced topics, Marcel Dekker, pp.15-105, 1998. ,
Fundamentals of domination in graphs, Marcel Dekker, pp.15-105, 1998. ,
A Dynamic Programming Approach to Sequencing Problems, Journal of the Society for Industrial and Applied Mathematics, vol.10, issue.1, pp.196-210, 1962. ,
DOI : 10.1137/0110015
Computing Partitions with Applications to the Knapsack Problem, J. ACM, vol.21, issue.135, pp.277-292, 1974. ,
Which Problems Have Strongly Exponential Complexity, Journal of Computer and System Sciences, vol.63, issue.4 2, pp.512-530, 2001. ,
A Faster Algorithm for Dominating Set Analyzed by the Potential Method, Parameterized and Exact Computation -6th International Symposium, IPEC 2011, pp.41-54, 2011. ,
Bounding the Running Time of Algorithms for Scheduling and Packing Problems, DEHNE Algorithms and Data Structures -13th International Symposium, WADS 2013 Proceedings, pp.439-450, 2013. ,
On Generating All Maximal Independent Sets, Inf. Process. Lett, vol.27, issue.3, pp.119-123, 1988. ,
Fast exact algorithm for L(2, 1)-labeling of graphs, Theor. Comput. Sci, vol.505, issue.62, pp.42-54, 2013. ,
Determining the L(2, 1)-span in polynomial space, Discrete Applied Mathematics, vol.161, issue.62, pp.13-142052, 2013. ,
On Improved Exact Algorithms for L(2, 1)- Labeling of Graphs, Combinatorial Algorithms - 21st International Workshop, IWOCA 2010, pp.34-37, 2010. ,
On the complexity of exact algorithm for L(2, 1)-labeling of graphs, Inf. Process. Lett, vol.111, issue.14, pp.697-701, 2011. ,
Enumeration of Minimal Dominating Sets and Variants, Lecture Notes in Computer Science, vol.6914, pp.298-309, 2011. ,
On the Neighbourhood Helly of Some Graph Classes and Applications to the Enumeration of Minimal Dominating Sets, Lecture Notes in Computer Science, vol.7676, pp.289-298, 2012. ,
On the Enumeration and Counting of Minimal Dominating sets in Interval and Permutation Graphs, pp.339-349, 2013. ,
Minimal Dominating Set Enumeration editor : Encyclopedia of Algorithms, 2015. ,
Algorithm Design, 2006. ,
A Fine-grained Analysis of a Simple Independent Set Algorithm, KANNAN IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, FSTTCS 2009 Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik, pp.287-298, 2009. ,
Assigning Channels via the Meet-in-the-Middle Approach, Algorithm Theory -SWAT 2014 -14th Scandinavian Symposium and Workshops Proceedings, pp.282-293, 2014. ,
An exact algorithm for the minimum dominating clique problem, Theor. Comput. Sci, vol.385, issue.1-3, pp.226-240, 2007. ,
A " Pseudopolynomial Algorithm for Sequencing Jobs to Minimize Total Tardiness, Studies in Integer Programming, pp.331-342, 1977. ,
A Functional Equation and its Application to Resource Allocation and Sequencing Problems, Management Science, vol.16, issue.1, pp.77-84, 1969. ,
Algebraic complexity theory and matrix multiplication, Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation, ISSAC '14, p.23, 2014. ,
DOI : 10.1145/2608628.2627493
Exponential-time algorithms for scheduling problems, Proceedings of the Workshop on Models and Algorithms for Planning and Scheduling Problems, pp.160-165, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00943027
On an extension of the Sort & Search method with application to scheduling theory, Theor. Comput. Sci, vol.511, issue.156, pp.13-22, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00942913
Exponential Algorithms for Scheduling Problems, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00944382
Algorithmes modérément exponentiels pour problèmes NP-difficiles, Informatique Mathématique une photographie en 2015, pp.18-154, 2015. ,
Solving Capacitated Dominating Set by using covering by subsets and maximum matching, Discrete Applied Mathematics, vol.168, pp.60-68, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00479645
On the number of minimal transversals in 3-uniform hypergraphs, Discrete Mathematics, vol.308, issue.16, pp.3668-3687, 2008. ,
Fixed-parameter tractable scheduling problems, Packing and Scheduling Algorithms for Information and Communication Services, 2011. ,
Scheduling and Fixed-Parameter Tractability, LEE Integer Programming and Combinatorial Optimization -17th International Conference, IPCO 2014 Proceedings, pp.381-392, 2014. ,
On cliques in graphs, Israel Journal of Mathematics, vol.3, pp.23-28, 1965. ,
Inclusion/Exclusion Meets Measure and Conquer, Algorithmica, vol.69, issue.3, pp.685-740, 2014. ,
Counting the number of independent sets in chordal graphs, Journal of Discrete Algorithms, vol.6, issue.2, pp.229-242, 2008. ,
DOI : 10.1016/j.jda.2006.07.006
Exact algorithms for Minimum Dominating Set, 2004. ,
A Sub-Constant Error-Probability Low-Degree Test, and a Sub- Constant Error-Probability PCP Characterization of NP, Proceedings of the Twenty-Ninth Annual ACM Symposium on the Theory of Computing, pp.475-484, 1997. ,
Graph minors. I. Excluding a forest, J. Comb. Theory, Ser. B, vol.35, issue.1, pp.39-61, 1983. ,
Graph Minors. II. Algorithmic Aspects of Tree-Width, J. Algorithms, vol.7, issue.3, pp.309-322, 1986. ,
Algorithmics in Exponential Time, DIEKERT STACS 2005, 22nd Annual Symposium on Theoretical Aspects of Computer Science Proceedings, pp.36-43, 2005. ,
New Algorithmic Paradigms in Exponential Time Algorithms, New Computational Paradigms, First Conference on Computability in Europe Proceedings, pp.429-429, 2005. ,
A T = O(2 n2 ), S = O(2 n4 ) Algorithm for Certain NP- Complete Problems, SIAM J. Comput, vol.10, issue.152, pp.456-464, 1981. ,
An exponential dynamic programming algorithm for the 3-machine flowshop scheduling problem to minimize the makespan, Proceedings of the Multidisciplinary International Conference on Scheduling : Theory and Applications, pp.144-169, 2015. ,
A Simple Algorithm for Finding a Maximum Clique and Its Worst-Case Time Complexity, Systems and Computers in Japan, vol.21, issue.3, pp.1-13, 1990. ,
Finding a maximum independent set, SIAM Journal on Computing, vol.6, issue.20, pp.537-546, 1977. ,
Exact exponential-time algorithms for domination problems in graphs, pp.81-105, 2011. ,
Exact algorithms for dominating set Dynamic Programming on Tree Decompositions Using Generalised Fast Subset Convolution, 17th Annual European Symposium Proceedings, volume 5757 of Lecture Notes in Computer Science, pp.2147-2164, 2009. ,
Exact Algorithms for NP-Hard Problems : A Survey, JÜNGER Combinatorial Optimization -Eureka, You Shrink !, Papers Dedicated to Jack Edmonds, 5th International Workshop, pp.185-208, 2001. ,
Space and Time Complexity of Exact Algorithms : Some Open Problems (Invited Talk), Parameterized and Exact Computation, First International Workshop Proceedings, pp.281-290, 2004. ,
Exact Algorithms for Maximum Independent Set, pp.328-338, 2013. ,
An improved exact algorithm for undirected feedback vertex set, Journal of Combinatorial Optimization, vol.30, issue.2, pp.214-241, 2015. ,