메뉴 건너뛰기




Volumn , Issue , 2005, Pages 451-459

All maximal independent sets and dynamic dominance for sparse graphs

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDED DEGREE GRAPHS; ENUMERATION ALGORITHMS; MAXIMAL INDEPENDENT SET ALGORITHMS; SPARSE GRAPHS;

EID: 20744443794     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (14)

References (22)
  • 1
    • 34249842390 scopus 로고
    • A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
    • D. Avis and K. Fukuda. A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra. Discrete Comput. Geom. 8(3):295-313, 1992.
    • (1992) Discrete Comput. Geom. , vol.8 , Issue.3 , pp. 295-313
    • Avis, D.1    Fukuda, K.2
  • 2
    • 0001194185 scopus 로고    scopus 로고
    • Reverse search for enumeration
    • D. Avis and K. Fukuda. Reverse search for enumeration. Discrete Appl. Math. 65:21-46, 1996.
    • (1996) Discrete Appl. Math. , vol.65 , pp. 21-46
    • Avis, D.1    Fukuda, K.2
  • 4
    • 0038077524 scopus 로고    scopus 로고
    • Algorithms for k-colouring and finding maximal independent sets
    • ACM and SIAM
    • J. M. Byskov. Algorithms for k-colouring and finding maximal independent sets. Proc. 14th Symp. Discrete Algorithms, pp. 456-457. ACM and SIAM, 2003.
    • (2003) Proc. 14th Symp. Discrete Algorithms , pp. 456-457
    • Byskov, J.M.1
  • 5
    • 0022011993 scopus 로고
    • Arboricity and subgraph listing algorithms
    • N. Chiba and T. Nishizeki. Arboricity and subgraph listing algorithms. SIAM J. Comput. 14:210-223, 1985.
    • (1985) SIAM J. Comput. , vol.14 , pp. 210-223
    • Chiba, N.1    Nishizeki, T.2
  • 6
    • 0026414014 scopus 로고
    • Planar orientations with low out-degree and compaction of adjacency matrices
    • M. Chrobak and D. Eppstein. Planar orientations with low out-degree and compaction of adjacency matrices. Theor. Comput. Sci. 86(2):243-266, 1991.
    • (1991) Theor. Comput. Sci. , vol.86 , Issue.2 , pp. 243-266
    • Chrobak, M.1    Eppstein, D.2
  • 7
    • 0032108018 scopus 로고    scopus 로고
    • Finding the k shortest paths
    • D. Eppstein. Finding the k shortest paths. SIAM J. Computing 28(2):652-673, 1998.
    • (1998) SIAM J. Computing , vol.28 , Issue.2 , pp. 652-673
    • Eppstein, D.1
  • 8
    • 3042849842 scopus 로고    scopus 로고
    • Small maximal independent sets and faster exact graph coloring
    • arXiv:cs.DS/0011009
    • D. Eppstein. Small maximal independent sets and faster exact graph coloring. J. Graph Algorithms & Applications 7(2):131-140, 2003, arXiv:cs.DS/0011009.
    • (2003) J. Graph Algorithms & Applications , vol.7 , Issue.2 , pp. 131-140
    • Eppstein, D.1
  • 9
    • 20744433142 scopus 로고
    • A distributed algorithm for finding all maximal cliques in a network graph
    • Springer-Verlag, Lecture Notes in Computer Science 583
    • E. Jennings and L. Motycková. A distributed algorithm for finding all maximal cliques in a network graph. Proc. 1st Latin Amer. Symp. Theoretical Informatics (LATIN '92), pp. 281-293. Springer-Verlag, Lecture Notes in Computer Science 583, 1992.
    • (1992) Proc. 1st Latin Amer. Symp. Theoretical Informatics (LATIN '92) , pp. 281-293
    • Jennings, E.1    Motycková, L.2
  • 11
    • 0000203994 scopus 로고
    • Generating all maximal independent sets: NP-hardness and polynomial-time algorithms
    • E. Lawler, J. K. Lenstra, and A. H. G. Rinnooy Kan. Generating all maximal independent sets: NP-hardness and polynomial-time algorithms. SIAM J. Comput. 9(3):558-565, 1980.
    • (1980) SIAM J. Comput. , vol.9 , Issue.3 , pp. 558-565
    • Lawler, E.1    Lenstra, J.K.2    Kan, A.H.G.R.3
  • 12
    • 0009648885 scopus 로고
    • Fast algorithms for generating all maximal independent sets of interval, circular-arc and chordal graphs
    • J. Y.-T. Leung. Fast algorithms for generating all maximal independent sets of interval, circular-arc and chordal graphs. J. Algorithms 5:22-35, 1984.
    • (1984) J. Algorithms , vol.5 , pp. 22-35
    • Leung, J.Y.-T.1
  • 13
    • 33746347889 scopus 로고
    • On the problem of finding all maximum weight independent sets in interval and circular-arc graphs
    • IEEE
    • Y. D. Liang, S. K. Dhall, and S. Lakshmivarahan. On the problem of finding all maximum weight independent sets in interval and circular-arc graphs. Proc. Symp. Applied Computing, pp. 465-470. IEEE, 1991.
    • (1991) Proc. Symp. Applied Computing , pp. 465-470
    • Liang, Y.D.1    Dhall, S.K.2    Lakshmivarahan, S.3
  • 14
    • 0000079797 scopus 로고
    • Homomorphieeigenschaften und mittlere Kantendichte von Graphen
    • W. Mader. Homomorphieeigenschaften und mittlere Kantendichte von Graphen. Math. Ann. 174:265-268, 1967.
    • (1967) Math. Ann. , vol.174 , pp. 265-268
    • Mader, W.1
  • 15
    • 33645216903 scopus 로고    scopus 로고
    • New algorithms for enumerating all maximal cliques
    • Springer-Verlag, Lecture Notes in Computer Science 3111
    • K. Makino and T. Uno. New algorithms for enumerating all maximal cliques. Proc. 9th Scand. Worksh. Algorithm Theory (SWAT 2004), pp. 260-272. Springer-Verlag, Lecture Notes in Computer Science 3111, 2004.
    • (2004) Proc. 9th Scand. Worksh. Algorithm Theory (SWAT 2004) , pp. 260-272
    • Makino, K.1    Uno, T.2
  • 16
    • 0020781464 scopus 로고
    • Smallest-last ordering and clustering and graph coloring algorithms
    • D. Matula and L. Beck. Smallest-last ordering and clustering and graph coloring algorithms. J. ACM 30:417-427, 1983.
    • (1983) J. ACM , vol.30 , pp. 417-427
    • Matula, D.1    Beck, L.2
  • 18
    • 0942299114 scopus 로고    scopus 로고
    • Finding all maximal cliques in dynamic graphs
    • V. Stix. Finding all maximal cliques in dynamic graphs. Computational Optimization Appl. 27(2):173-186, 2004.
    • (2004) Computational Optimization Appl. , vol.27 , Issue.2 , pp. 173-186
    • Stix, V.1
  • 19
    • 0002918997 scopus 로고
    • An inequality for the chromatic number of a graph
    • G. Szekeres and H. Wilf. An inequality for the chromatic number of a graph. J. Comb. Th. 4:1-3, 1968.
    • (1968) J. Comb. Th. , vol.4 , pp. 1-3
    • Szekeres, G.1    Wilf, H.2
  • 21
    • 0001228780 scopus 로고
    • A new algorithm for generating all the maximal independent sets
    • S. Tsukiyama, M. Ide, H. Ariyoshi, and I. Shirakawa. A new algorithm for generating all the maximal independent sets. SIAM J. Comput. 6(3):505-517, 1977.
    • (1977) SIAM J. Comput. , vol.6 , Issue.3 , pp. 505-517
    • Tsukiyama, S.1    Ide, M.2    Ariyoshi, H.3    Shirakawa, I.4
  • 22
    • 0346507133 scopus 로고
    • Generate all maximal independent sets in permutation graphs
    • C.-W. Yu and G.-H. Chen. Generate all maximal independent sets in permutation graphs. Internat. J. Comput. Math. 47:1-8, 1993.
    • (1993) Internat. J. Comput. Math. , vol.47 , pp. 1-8
    • Yu, C.-W.1    Chen, G.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.