메뉴 건너뛰기




Volumn 6281 LNCS, Issue , 2010, Pages 641-652

Faster approximation schemes and parameterized algorithms on H-minor-free and odd-minor-free graphs

Author keywords

Graph Minors; Odd Minors; Subexponential Algorithms

Indexed keywords

ALGORITHMIC TECHNIQUES; APPROXIMATION SCHEME; DOMINATING SETS; DYNAMIC PROGRAMMING TECHNIQUES; FREE GRAPHS; GENERAL METHODOLOGIES; GRAPH CLASS; GRAPH MINORS; INDEPENDENT SET; LONGEST PATH; MAX-CUT; MINOR-CLOSED GRAPH CLASS; ODD MINORS; PARAMETERIZED ALGORITHM; RUNNING TIME; STEINER TREES; STRUCTURAL DECOMPOSITION; SUB-EXPONENTIAL ALGORITHMS; SUBGRAPHS; VERTEX COVER;

EID: 78349253411     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-15155-2_56     Document Type: Conference Paper
Times cited : (6)

References (25)
  • 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(1), 153-180 (1994)
    • (1994) J. ACM , vol.41 , Issue.1 , pp. 153-180
    • Baker, B.S.1
  • 2
    • 0038099322 scopus 로고    scopus 로고
    • Diameter and treewidth in minor-closed graph families
    • Eppstein, D.: Diameter and treewidth in minor-closed graph families. Algorithmica 27(3), 275-291 (2000)
    • (2000) Algorithmica , vol.27 , Issue.3 , pp. 275-291
    • Eppstein, D.1
  • 3
    • 1842816566 scopus 로고    scopus 로고
    • Local tree-width, excluded minors, and approximation algorithms
    • Grohe, M.: Local tree-width, excluded minors, and approximation algorithms. Combinatorica 23(4), 613-632 (2003)
    • (2003) Combinatorica , vol.23 , Issue.4 , pp. 613-632
    • Grohe, M.1
  • 4
    • 55249098651 scopus 로고    scopus 로고
    • A linear-time approximation scheme for TSP in undirected planar graphs with edge-weights
    • Klein, P.N.: A linear-time approximation scheme for TSP in undirected planar graphs with edge-weights. SIAM J. Comput. 37(6), 1926-1952 (2008)
    • (2008) SIAM J. Comput. , vol.37 , Issue.6 , pp. 1926-1952
    • Klein, P.N.1
  • 6
    • 0141538200 scopus 로고    scopus 로고
    • Graph minors. XVI. Excluding a non-planar graph
    • Robertson, N., Seymour, P.: Graph minors. XVI. Excluding a non-planar graph. J. Comb. Theory Ser. B 89(1), 43-76 (2003)
    • (2003) J. Comb. Theory Ser. B , vol.89 , Issue.1 , pp. 43-76
    • Robertson, N.1    Seymour, P.2
  • 10
    • 33745188001 scopus 로고    scopus 로고
    • Subexponential parameterized algorithms on bounded-genus graphs and H-minor-free graphs
    • Demaine, E.D., Fomin, F.V., Hajiaghayi, M., Thilikos, D.M.: Subexponential parameterized algorithms on bounded-genus graphs and H-minor-free graphs. J. ACM 52(6), 866-893 (2005)
    • (2005) J. ACM , vol.52 , Issue.6 , pp. 866-893
    • Demaine, E.D.1    Fomin, F.V.2    Hajiaghayi, M.3    Thilikos, D.M.4
  • 11
    • 37149054237 scopus 로고    scopus 로고
    • Invitation to data reduction and problem kernelization
    • Guo, J., Niedermeier, R.: Invitation to data reduction and problem kernelization. SIGACT News 38(1), 31-45 (2007)
    • (2007) SIGACT News , vol.38 , Issue.1 , pp. 31-45
    • Guo, J.1    Niedermeier, R.2
  • 13
    • 0035185680 scopus 로고    scopus 로고
    • A characterization of weakly bipartite graphs
    • Guenin, B.: A characterization of weakly bipartite graphs. J. Comb. Theory Ser. B 83(1), 112-168 (2001)
    • (2001) J. Comb. Theory Ser. B , vol.83 , Issue.1 , pp. 112-168
    • Guenin, B.1
  • 15
    • 33748108623 scopus 로고    scopus 로고
    • Approximating chromatic number and list-chromatic number of minor-closed and odd-minor-closed classes of graphs
    • ACM Press, New York
    • Kawarabayashi, K., Mohar, B.: Approximating chromatic number and list-chromatic number of minor-closed and odd-minor-closed classes of graphs. In: STOC 2006: Proceedings of the 38th Annual ACM Symposium on Theory of Computing, pp. 401-406. ACM Press, New York (2008)
    • (2008) STOC 2006: Proceedings of the 38th Annual ACM Symposium on Theory of Computing , pp. 401-406
    • Kawarabayashi, K.1    Mohar, B.2
  • 18
    • 0000079797 scopus 로고
    • Homomorphieeigenschaften und mittlere Kantendichte von Graphen
    • Mader, W.: Homomorphieeigenschaften und mittlere Kantendichte von Graphen. Math. Ann. 174, 265-268 (1967)
    • (1967) Math. Ann. , vol.174 , pp. 265-268
    • Mader, W.1
  • 19
    • 44649186990 scopus 로고    scopus 로고
    • Logic, graphs, and algorithms
    • Amsterdam University Press, Amsterdam
    • Grohe, M.: Logic, graphs, and algorithms. In: Logic and Automata - History and Perspectives. Amsterdam University Press, Amsterdam (2007)
    • (2007) Logic and Automata - History and Perspectives
    • Grohe, M.1
  • 20
    • 9144239509 scopus 로고    scopus 로고
    • Graph minors. XX. Wagner's conjecture
    • Robertson, N., Seymour, P.D.: Graph minors. XX. Wagner's conjecture. J. Comb. Theory Ser. B 92(2), 325-357 (2004)
    • (2004) J. Comb. Theory Ser. B , vol.92 , Issue.2 , pp. 325-357
    • Robertson, N.1    Seymour, P.D.2
  • 22
    • 55249084680 scopus 로고    scopus 로고
    • Improved approximation algorithms for minimum weight vertex separators
    • Feige, U., Hajiaghayi, M., Lee, J.R.: Improved approximation algorithms for minimum weight vertex separators. SIAM J. Comput. 38(2), 629-657 (2008)
    • (2008) SIAM J. Comput. , vol.38 , Issue.2 , pp. 629-657
    • Feige, U.1    Hajiaghayi, M.2    Lee, J.R.3
  • 25
    • 20744453821 scopus 로고    scopus 로고
    • Graphs excluding a fixed minor have grids as large as treewidth, with combinatorial and algorithmic applications through bidimensionality
    • SIAM, Philadelphia
    • Demaine, E.D., Hajiaghayi, M.: Graphs excluding a fixed minor have grids as large as treewidth, with combinatorial and algorithmic applications through bidimensionality. In: SODA 2005: Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 682-689. SIAM, Philadelphia (2005)
    • (2005) SODA 2005: Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms , pp. 682-689
    • Demaine, E.D.1    Hajiaghayi, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.