메뉴 건너뛰기




Volumn 5, Issue 1, 2008, Pages

Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications

Author keywords

Domatic number; Exact exponential algorithms; Listing algorithms; Measure and conquer; Minimum dominating set; Minimum set cover

Indexed keywords

DOMATIC NUMBER; EXACT EXPONENTIAL ALGORITHMS; LISTING ALGORITHMS; MEASURE AND CONQUER; MINIMUM DOMINATING SET; MINIMUM SET COVER;

EID: 57849165513     PISSN: 15496325     EISSN: 15496333     Source Type: Journal    
DOI: 10.1145/1435375.1435384     Document Type: Article
Times cited : (106)

References (32)
  • 3
    • 50849086130 scopus 로고    scopus 로고
    • Exact algorithms for exact satisfiability and number of perfect matchings
    • BJÖRKLUND, A., AND HUSFELDT, T. 2008. Exact algorithms for exact satisfiability and number of perfect matchings Algorithmica 52, 2, 226-249.
    • (2008) Algorithmica , vol.52 , Issue.2 , pp. 226-249
    • BJÖRKLUND, A.1    HUSFELDT, T.2
  • 5
    • 0040330201 scopus 로고
    • Certain properties of nonnegative matrices and their permanents
    • BRÈGMAN, L. M. 1973. Certain properties of nonnegative matrices and their permanents. Doklady Akademii Nauk BSSR. 211, 27-30.
    • (1973) Doklady Akademii Nauk BSSR , vol.211 , pp. 27-30
    • BRÈGMAN, L.M.1
  • 6
    • 33744957959 scopus 로고    scopus 로고
    • An algorithm for enumerating maximal bipartite subgraphs
    • manuscript
    • BYSKOV, J. M., AND EPPSTEIN, D. 2004. An algorithm for enumerating maximal bipartite subgraphs. manuscript.
    • (2004)
    • BYSKOV, J.M.1    EPPSTEIN, D.2
  • 8
    • 11544283160 scopus 로고
    • Proof of the van der Waerden conjecture for permanents
    • EGORYCHEV, G. P. 1981. Proof of the van der Waerden conjecture for permanents. Sibirsk. Mat. Zh. 22, 65-71, 225.
    • (1981) Sibirsk. Mat. Zh , vol.22 , Issue.65-71 , pp. 225
    • EGORYCHEV, G.P.1
  • 9
    • 3042849842 scopus 로고    scopus 로고
    • Small maximal independent sets and faster exact graph coloring
    • EPPSTEIN, D. 2003. Small maximal independent sets and faster exact graph coloring. J. Graph Algor. Appl. 7, 2, 131-140.
    • (2003) J. Graph Algor. Appl , vol.7 , Issue.2 , pp. 131-140
    • EPPSTEIN, D.1
  • 11
    • 26444600196 scopus 로고    scopus 로고
    • Measure and conquer: Domination-A case study
    • Proceedings of the 32nd International Colloquium on Automata, Languages and Programming ICALP, Springer, Berlin
    • FOMIN, F. V., GRANDONI, F., AND KRATSCH, D. 2005a. Measure and conquer: Domination-A case study. In Proceedings of the 32nd International Colloquium on Automata, Languages and Programming (ICALP). Lecture Notes in Computer Science, vol. 3580. Springer, Berlin, 191-203.
    • (2005) Lecture Notes in Computer Science , vol.3580 , pp. 191-203
    • FOMIN, F.V.1    GRANDONI, F.2    KRATSCH, D.3
  • 12
    • 33746404819 scopus 로고    scopus 로고
    • Some new techniques in design and analysis of exact (exponential) algorithms
    • FOMIN, F. V., GRANDONI, F., AND KRATSCH, D. 2005b. Some new techniques in design and analysis of exact (exponential) algorithms. Bull. Eur. Assoc. Theor. Comput. Sci. 87, 47-77.
    • (2005) Bull. Eur. Assoc. Theor. Comput. Sci , vol.87 , pp. 47-77
    • FOMIN, F.V.1    GRANDONI, F.2    KRATSCH, D.3
  • 13
    • 33244481489 scopus 로고    scopus 로고
    • 0.288n) independent set algorithm. In Proceedings of the 17th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). ACM and SIAM, New York, 18-25.
    • 0.288n) independent set algorithm. In Proceedings of the 17th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). ACM and SIAM, New York, 18-25.
  • 14
    • 33744958900 scopus 로고    scopus 로고
    • Bounding the number of minimal dominating sets: A measure and conquer approach
    • Proceedings of the 16th Annual International Symposium on Algorithms and Computation ISAAC, Springer, Berlin
    • FOMIN, F. V., GRANDONI, F., PYATKIN, A. V., AND STEPANOV, A. 2005. Bounding the number of minimal dominating sets: A measure and conquer approach. In Proceedings of the 16th Annual International Symposium on Algorithms and Computation (ISAAC). Lecture Notes in Computer Science, vol. 3827. Springer, Berlin, 573-582.
    • (2005) Lecture Notes in Computer Science , vol.3827 , pp. 573-582
    • FOMIN, F.V.1    GRANDONI, F.2    PYATKIN, A.V.3    STEPANOV, A.4
  • 15
    • 35048864458 scopus 로고    scopus 로고
    • Exact algorithms for treewidth and minimum fill-in
    • Proceedings of the 31st International Colloquium on Automata, Languages and Programming ICALP, Springer, Berlin
    • FOMIN, F. V., KRATSCH, D., AND TODINCA, I. 2004. Exact algorithms for treewidth and minimum fill-in. In Proceedings of the 31st International Colloquium on Automata, Languages and Programming (ICALP). Lecture Notes in Computer Science, vol. 3142. Springer, Berlin, 568-580.
    • (2004) Lecture Notes in Computer Science , vol.3142 , pp. 568-580
    • FOMIN, F.V.1    KRATSCH, D.2    TODINCA, I.3
  • 16
    • 26844452916 scopus 로고    scopus 로고
    • Exact (exponential) algorithms for the dominating set problem
    • Proceedings of the 30th Workshop on Graph Theoretic Concepts in Computer Science WG, Springer, Berlin
    • FOMIN, F. V., KRATSCH, D., AND WOEGINGER, G. J. 2004. Exact (exponential) algorithms for the dominating set problem. In Proceedings of the 30th Workshop on Graph Theoretic Concepts in Computer Science (WG). Lecture Notes in Computer Science, vol. 3353. Springer, Berlin, 245-256.
    • (2004) Lecture Notes in Computer Science , vol.3353 , pp. 245-256
    • FOMIN, F.V.1    KRATSCH, D.2    WOEGINGER, G.J.3
  • 17
    • 33646252933 scopus 로고    scopus 로고
    • A note on the complexity of minimum dominating set
    • GRANDONI, F. 2006. A note on the complexity of minimum dominating set. J. Discrete Algor. 4, 2, 209-214.
    • (2006) J. Discrete Algor , vol.4 , Issue.2 , pp. 209-214
    • GRANDONI, F.1
  • 18
    • 57849154269 scopus 로고    scopus 로고
    • GRANDONI, F. 2004. Exact algorithms for hard graph problems. Ph.D. thesis, Università di Roma Tor Vergata, Rome, Italy.
    • GRANDONI, F. 2004. Exact algorithms for hard graph problems. Ph.D. thesis, Università di Roma "Tor Vergata", Rome, Italy.
  • 19
    • 0041642200 scopus 로고    scopus 로고
    • HAYNES, T. W, AND HEDETNIEMI, S. T, eds, Marcel Dekker, New York
    • HAYNES, T. W., AND HEDETNIEMI, S. T., eds. 1998. Domination in Graphs. Marcel Dekker, New York.
    • (1998) Domination in Graphs
  • 20
    • 0000460052 scopus 로고
    • A dynamic programming approach to sequencing problems
    • HELD, M., AND KARP, R. M. 1962. A dynamic programming approach to sequencing problems. J. SIAM, 10, 196-210.
    • (1962) J. SIAM , vol.10 , pp. 196-210
    • HELD, M.1    KARP, R.M.2
  • 22
    • 38749119020 scopus 로고    scopus 로고
    • n) algorithm for graph colouring and other partitioning problems via inclusion-exclusion. In Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS). IEEE, 583-590.
    • n) algorithm for graph colouring and other partitioning problems via inclusion-exclusion. In Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS). IEEE, 583-590.
  • 23
    • 0001778047 scopus 로고
    • A note on the complexity of the chromatic number problem
    • LAWLER, E. L. 1976. A note on the complexity of the chromatic number problem. Inf. Proc. Lett. 5, 3, 66-67.
    • (1976) Inf. Proc. Lett , vol.5 , Issue.3 , pp. 66-67
    • LAWLER, E.L.1
  • 24
    • 51249169586 scopus 로고
    • On cliques in graphs
    • MOON, J. W., AND MOSER, L. 1965. On cliques in graphs. Israel J. Math. 3, 23-28.
    • (1965) Israel J. Math , vol.3 , pp. 23-28
    • MOON, J.W.1    MOSER, L.2
  • 25
    • 57849157684 scopus 로고    scopus 로고
    • RANDERATH, B., AND SCH1ERMEYER, I. 2004. Exact algorithms for minimum dominating set. Tech. Rep. zaik-469, Zentrum für Angewandte Informatik Köln, Germany.
    • RANDERATH, B., AND SCH1ERMEYER, I. 2004. Exact algorithms for minimum dominating set. Tech. Rep. zaik-469, Zentrum für Angewandte Informatik Köln, Germany.
  • 26
    • 26844470159 scopus 로고    scopus 로고
    • n algorithm for the three domatic number problem
    • Proceedings of the 30th International Symposium on Mathematical Foundations of Computer Science MFCS, Springer, Berlin
    • n algorithm for the three domatic number problem. In Proceedings of the 30th International Symposium on Mathematical Foundations of Computer Science (MFCS). Lecture Notes in Computer Science, vol. 3618. Springer, Berlin, 733-744.
    • (2005) Lecture Notes in Computer Science , vol.3618 , pp. 733-744
    • REIGE, T.1    ROTHE, J.2
  • 27
    • 33845231162 scopus 로고    scopus 로고
    • An improved exact algorithm for the domatic number problem
    • RIEGE, T., ROTHE, J., SPAKOWSKI, H., AND YAMAMOTO, M. 2007. An improved exact algorithm for the domatic number problem. Inf. Proc. Lett. 101, 3, 101-106.
    • (2007) Inf. Proc. Lett , vol.101 , Issue.3 , pp. 101-106
    • RIEGE, T.1    ROTHE, J.2    SPAKOWSKI, H.3    YAMAMOTO, M.4
  • 28
    • 45749102084 scopus 로고    scopus 로고
    • VAN ROOIJ, J. M. M., AND BODLAENDER, H. L. 2008. Design by measure and conquer: A faster exact algorithm for dominating set. In Proceedings of the 25th Annual Symposium on Theoretical Aspects of Computer Science (STACS), Dagstuhl Seminar Proceedings, Internationales Begegnungs- und Forschungszentrum fuer Informatik (IBFT), Schloss Dagstuhl, Germany, 657-668.
    • VAN ROOIJ, J. M. M., AND BODLAENDER, H. L. 2008. Design by measure and conquer: A faster exact algorithm for dominating set. In Proceedings of the 25th Annual Symposium on Theoretical Aspects of Computer Science (STACS), Dagstuhl Seminar Proceedings, Internationales Begegnungs- und Forschungszentrum fuer Informatik (IBFT), Schloss Dagstuhl, Germany, 657-668.
  • 29
    • 0001513435 scopus 로고    scopus 로고
    • Finding a maximum independent set
    • TARJAN, R. E., AND TROJANOWSKI, A. E. 1997. Finding a maximum independent set. SIAM J. Comput. 6, 3, 537-546.
    • (1997) SIAM J. Comput , vol.6 , Issue.3 , pp. 537-546
    • TARJAN, R.E.1    TROJANOWSKI, A.E.2
  • 31
    • 32044459865 scopus 로고    scopus 로고
    • A new algorithm for optimal 2-constraint satisfaction and its implications
    • WILLIAMS, R. 2005. A new algorithm for optimal 2-constraint satisfaction and its implications. Theor. Comput. Sci. 348, 2-3, 357-365.
    • (2005) Theor. Comput. Sci , vol.348 , Issue.2-3 , pp. 357-365
    • WILLIAMS, R.1
  • 32
    • 35248898344 scopus 로고    scopus 로고
    • Exact algorithms for NP-hard problems: A survey
    • Combinatorial Optimization-Eureka, You Shrink, Springer, Berlin
    • WOEGINGER, G. 2003. Exact algorithms for NP-hard problems: A survey. In Combinatorial Optimization-Eureka, You Shrink!. Lecture Notes in Computer Science, vol. 2570. Springer, Berlin, 185-207.
    • (2003) Lecture Notes in Computer Science , vol.2570 , pp. 185-207
    • WOEGINGER, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.