메뉴 건너뛰기




Volumn 4769 LNCS, Issue , 2007, Pages 292-303

Obtaining a planar graph by vertex deletion

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL EFFICIENCY; NUMERICAL METHODS; PROBLEM SOLVING; QUADRATIC PROGRAMMING;

EID: 38549090020     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-74839-7_28     Document Type: Conference Paper
Times cited : (19)

References (20)
  • 1
    • 0028255806 scopus 로고
    • Approximation algorithms for NP-complete problems on planar graphs
    • Baker, B.S.: Approximation algorithms for NP-complete problems on planar graphs. J. ACM 41, 153-180 (1994)
    • (1994) J. ACM , vol.41 , pp. 153-180
    • Baker, B.S.1
  • 2
    • 0001294529 scopus 로고    scopus 로고
    • A linear-time algorithm for finding tree-decompositions of small treewidth
    • Bodlaender, H.L.: A linear-time algorithm for finding tree-decompositions of small treewidth. SIAM J. Comput. 25, 1305-1317 (1996)
    • (1996) SIAM J. Comput , vol.25 , pp. 1305-1317
    • Bodlaender, H.L.1
  • 3
    • 0000971678 scopus 로고    scopus 로고
    • Fixed-parameter treatability of graph modification problems for hereditary properties
    • Cai, L.: Fixed-parameter treatability of graph modification problems for hereditary properties. Inform. Process. Lett. 58, 171-176 (1996)
    • (1996) Inform. Process. Lett , vol.58 , pp. 171-176
    • Cai, L.1
  • 4
    • 0000809609 scopus 로고
    • Graph rewriting: An algebraic and logic approach
    • Elsevier, Amsterdam
    • Courcelle, B.: Graph rewriting: an algebraic and logic approach. In: Handbook of Theoretical Computer Science, vol. 2, pp. 194-242. Elsevier, Amsterdam (1990)
    • (1990) Handbook of Theoretical Computer Science , vol.2 , pp. 194-242
    • Courcelle, B.1
  • 5
    • 0000090439 scopus 로고    scopus 로고
    • The expression of graph properties and graph transformations in monadic second-order logic
    • ch. 5, World Scientific, New-Jersey
    • Courcelle, B.: The expression of graph properties and graph transformations in monadic second-order logic. In: Handbook of graph grammars and computing by graph transformations, ch. 5, vol. 1, pp. 313-400. World Scientific, New-Jersey (1997)
    • (1997) Handbook of graph grammars and computing by graph transformations , vol.1 , pp. 313-400
    • Courcelle, B.1
  • 8
    • 85137859893 scopus 로고    scopus 로고
    • Subgraph isomorphism in planar graphs and related problems
    • Eppstein, D.: Subgraph isomorphism in planar graphs and related problems. J. Graph Algorithms Appl. 3, 1-27 (1999)
    • (1999) J. Graph Algorithms Appl , vol.3 , pp. 1-27
    • Eppstein, D.1
  • 9
    • 0345224865 scopus 로고    scopus 로고
    • Query evaluation via tree-decompositions
    • Flum, J., Frick, M., Grohe, M.: Query evaluation via tree-decompositions. J. ACM 49, 716-752 (2002)
    • (2002) J. ACM , vol.49 , pp. 716-752
    • Flum, J.1    Frick, M.2    Grohe, M.3
  • 11
    • 1842615020 scopus 로고    scopus 로고
    • Computing crossing number in quadratic time
    • Grohe, M.: Computing crossing number in quadratic time. J. Comput. System Sci. 68, 285-302 (2004)
    • (2004) J. Comput. System Sci , vol.68 , pp. 285-302
    • Grohe, M.1
  • 12
    • 0000120312 scopus 로고
    • Finding a maximum cut of a planar graph in polynomial time
    • Hadlock, F.: Finding a maximum cut of a planar graph in polynomial time. SIAM J. Comput. 4, 221-225 (1975)
    • (1975) SIAM J. Comput , vol.4 , pp. 221-225
    • Hadlock, F.1
  • 13
    • 0016117886 scopus 로고
    • Efficient planarity testing
    • Hopcroft, J.E., Tarjan, R.E.: Efficient planarity testing. J. ACM 21, 549-568 (1974)
    • (1974) J. ACM , vol.21 , pp. 549-568
    • Hopcroft, J.E.1    Tarjan, R.E.2
  • 14
    • 0019001812 scopus 로고
    • The vertex-deletion problem for hereditary properties is NP-complete
    • Lewis, J.M., Yannakakis, M.: The vertex-deletion problem for hereditary properties is NP-complete. J. Comput. System Sci. 20, 219-230 (1980)
    • (1980) J. Comput. System Sci , vol.20 , pp. 219-230
    • Lewis, J.M.1    Yannakakis, M.2
  • 15
    • 0001029324 scopus 로고
    • Applications of a planar separator theorem
    • Lipton, R.J., Tarjan, R.E.: Applications of a planar separator theorem. SIAM J. Comput. 9, 615-627 (1980)
    • (1980) SIAM J. Comput , vol.9 , pp. 615-627
    • Lipton, R.J.1    Tarjan, R.E.2
  • 16
    • 35448990103 scopus 로고    scopus 로고
    • An improved algorithm for finding tree decompositions of small width
    • Perkovic, L., Reed, B.: An improved algorithm for finding tree decompositions of small width. Internat. J. Found. Comput. Sci. 11, 365-371 (2000)
    • (2000) Internat. J. Found. Comput. Sci , vol.11 , pp. 365-371
    • Perkovic, L.1    Reed, B.2
  • 19
    • 0002848005 scopus 로고
    • Graph minors. XIII. The disjoint paths problem
    • Robertson, N., Seymour, P.D.: Graph minors. XIII. The disjoint paths problem. J. Combin. Theory Ser. B 63, 65-110 (1995)
    • (1995) J. Combin. Theory Ser. B , vol.63 , pp. 65-110
    • Robertson, N.1    Seymour, P.D.2
  • 20
    • 38249026284 scopus 로고
    • The graph genus problem is NP-complete
    • Thomassen, C.: The graph genus problem is NP-complete. J. Algorithms 10, 568-576 (1989)
    • (1989) J. Algorithms , vol.10 , pp. 568-576
    • Thomassen, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.