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Volumn 32, Issue 6, 2004, Pages 547-556

Enumerating maximal independent sets with applications to graph colouring

Author keywords

Chromatic number; Extremal graphs; Graph algorithms; Graph colouring; Maximal independent set

Indexed keywords

ALGORITHMS; COLOR; GRAPH THEORY; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING; THEOREM PROVING;

EID: 3042736584     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2004.03.002     Document Type: Article
Times cited : (105)

References (14)
  • 1
    • 0002590155 scopus 로고    scopus 로고
    • The maximum clique problem
    • D.-Z. Du, P.M. Pardalos (Eds.), Kluwer Academic Publishers, Boston, MA
    • I.M. Bomze, M. Budinich, P.M. Pardalos, M. Pelillo, The maximum clique problem, in: D.-Z. Du, P.M. Pardalos (Eds.), Handbook of Combinatorial Optimization, Vol. 4, Kluwer Academic Publishers, Boston, MA, 1999, pp. 1-74.
    • (1999) Handbook of Combinatorial Optimization , vol.4 , pp. 1-74
    • Bomze, I.M.1    Budinich, M.2    Pardalos, P.M.3    Pelillo, M.4
  • 2
    • 26144448191 scopus 로고    scopus 로고
    • n) using maximal independent sets
    • BRICS, Department of Computer Science, University of Aarhus, December
    • n) using maximal independent sets, Research Series RS-02-45, BRICS, Department of Computer Science, University of Aarhus, December 2002; URL http://www.brics.dk/RS/02/45/ .
    • (2002) Research Series , vol.RS-02-45
    • Byskov, J.M.1
  • 4
    • 0012656374 scopus 로고
    • An algorithm for the chromatic number of a graph
    • Christofides N. An algorithm for the chromatic number of a graph. Comput. J. 14(1):1971;38-39.
    • (1971) Comput. J. , vol.14 , Issue.1 , pp. 38-39
    • Christofides, N.1
  • 6
    • 33746393832 scopus 로고    scopus 로고
    • Improved algorithms for 3-coloring, 3-edge-coloring, and constraint satisfaction
    • ACM and SIAM
    • D. Eppstein, Improved algorithms for 3-coloring, 3-edge-coloring, and constraint satisfaction, in: Proceedings of the 12th Symposium on Discrete Algorithms, ACM and SIAM, 2001, pp. 329-337.
    • (2001) Proceedings of the 12th Symposium on Discrete Algorithms , pp. 329-337
    • Eppstein, D.1
  • 7
    • 3042849842 scopus 로고    scopus 로고
    • Small maximal independent sets and faster exact graph coloring
    • D. Eppstein, Small maximal independent sets and faster exact graph coloring, J. Graph Algorithms & Applications 7 (2) (2003) 131-140.
    • (2003) J. Graph Algorithms & Applications , vol.7 , Issue.2 , pp. 131-140
    • Eppstein, D.1
  • 8
    • 0040560196 scopus 로고
    • The number of maximal independent sets in triangle-free graphs
    • Hujter M., Tuza Z. The number of maximal independent sets in triangle-free graphs. SIAM J. Discrete Math. 6(2):1993;284-288.
    • (1993) SIAM J. Discrete Math. , vol.6 , Issue.2 , pp. 284-288
    • Hujter, M.1    Tuza, Z.2
  • 9
    • 0001778047 scopus 로고
    • A note on the complexity of the chromatic number problem
    • Lawler E.L. A note on the complexity of the chromatic number problem. Inf. Process. Lett. 5(3):1976;66-67.
    • (1976) Inf. Process. Lett. , vol.5 , Issue.3 , pp. 66-67
    • Lawler, E.L.1
  • 10
    • 4243380800 scopus 로고    scopus 로고
    • On the number of maximal bipartite subgraphs of a graph
    • BRICS, Department of Computer Science, University of Aarhus, April
    • B.A. Madsen, J.M. Nielsen, B. Skjernaa, On the number of maximal bipartite subgraphs of a graph, Research Series RS-02-17, BRICS, Department of Computer Science, University of Aarhus, April 2002; URL http://www.brics.dk/RS/ 02/17/ .
    • (2002) Research Series , vol.RS-02-17
    • Madsen, B.A.1    Nielsen, J.M.2    Skjernaa, B.3
  • 11
    • 0041154227 scopus 로고
    • A problem of maximum consistent subsets
    • IBM Research Center, March
    • R.E. Miller, D.E. Muller, A problem of maximum consistent subsets, Research Report RC-240, IBM Research Center, March 1960.
    • (1960) Research Report , vol.RC-240
    • Miller, R.E.1    Muller, D.E.2
  • 14
    • 0001228780 scopus 로고
    • A new algorithm for generating all the maximal independent sets
    • Tsukiyama S., Ide M., Ariyoshi H., Shirakawa I. A new algorithm for generating all the maximal independent sets. SIAM J. Comput. 6(3):1977;505-517.
    • (1977) SIAM J. Comput. , vol.6 , Issue.3 , pp. 505-517
    • Tsukiyama, S.1    Ide, M.2    Ariyoshi, H.3    Shirakawa, I.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.