메뉴 건너뛰기




Volumn , Issue , 2009, Pages 120-129

Coloring triangle-free graphs on surfaces. Extended abstract

Author keywords

[No Author keywords available]

Indexed keywords

3-COLORABILITY; 3-COLORING; CHROMATIC NUMBER; DISJOINT PATHS; EXTENDED ABSTRACTS; FIXED SURFACES; LINEAR TIME; LINEAR-TIME ALGORITHMS; POLYNOMIAL-TIME; QUADRATIC TIME; SUBGRAPHS; TOPOLOGICAL OBSTRUCTIONS; TRIANGLE-FREE GRAPHS; WEIGHTED GRAPH; WINDING NUMBER;

EID: 70349089684     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (31)

References (32)
  • 2
    • 33847307573 scopus 로고    scopus 로고
    • Finding shortest non-separating and non-contractible cycles for topologically embedded graphs
    • S. Cabello and B. Mohar, Finding shortest non-separating and non-contractible cycles for topologically embedded graphs, Discrete Comput. Geom., 37 (2007), pp. 213-235.
    • (2007) Discrete Comput. Geom. , vol.37 , pp. 213-235
    • Cabello, S.1    Mohar, B.2
  • 3
  • 4
    • 85137859893 scopus 로고    scopus 로고
    • Subgraph isomorphism in planar graphs and related problems
    • D. Eppstein, Subgraph isomorphism in planar graphs and related problems, J. Algor. and Appl., 3 (1999), pp. 1-27.
    • (1999) J. Algor. and Appl. , vol.3 , pp. 1-27
    • Eppstein, D.1
  • 5
    • 0001143424 scopus 로고
    • The nonexistence of colorings
    • S. Fisk, The nonexistence of colorings, J. Combin. Theory Ser. B, 24 (1978), pp. 247-248.
    • (1978) J. Combin. Theory Ser. B , vol.24 , pp. 247-248
    • Fisk, S.1
  • 9
    • 21944457472 scopus 로고    scopus 로고
    • Coloring graphs with fixed genus and girth
    • J. Gimbel and C. Thomassen, Coloring graphs with fixed genus and girth, Trans. Amer. Math. Soc., 349 (1997), pp. 4555-4564. (Pubitemid 127745334)
    • (1997) Transactions of the American Mathematical Society , vol.349 , Issue.11 , pp. 4555-4564
    • Gimbel, J.1
  • 11
    • 0001557588 scopus 로고
    • Three-coloring graphs embedded on surfaces with all faces even-sided
    • J. Hutchinson, Three-coloring graphs embedded on surfaces with all faces even-sided, J. Combin. Theory Ser. B, 65 (1995), pp. 139-155.
    • (1995) J. Combin. Theory Ser. B , vol.65 , pp. 139-155
    • Hutchinson, J.1
  • 13
    • 70349110895 scopus 로고    scopus 로고
    • An algorithm for finding an induced cycle in planar graphs and bounded genus graphs
    • to appear in the
    • K. Kawarabayashi and K. Kobayashi, An algorithm for finding an induced cycle in planar graphs and bounded genus graphs, to appear in the proc. of SODA 2009.
    • Proc. of SODA 2009
    • Kawarabayashi, K.1    Kobayashi, K.2
  • 14
    • 33746077002 scopus 로고    scopus 로고
    • Fast 3-coloring triangle-free planar graphs
    • ESA 2004
    • Ł. Kowalik, Fast 3-coloring triangle-free planar graphs, ESA 2004, Lecture Notes in Comput. Sci., 3221 (2004), pp. 436-447.
    • (2004) Lecture Notes in Comput. Sci. , vol.3221 , pp. 436-447
    • Kowalik, Ł.1
  • 15
    • 0038447030 scopus 로고    scopus 로고
    • Short path queries in planar graphs in constant time
    • L. Kowalik, M. Kurowski: Short path queries in planar graphs in constant time, STOC 2003, pp. 143-148.
    • STOC 2003 , pp. 143-148
    • Kowalik, L.1    Kurowski, M.2
  • 16
    • 0036211638 scopus 로고    scopus 로고
    • Coloring locally bipartite graphs on surfaces
    • B. Mohar and P. D. Seymour, Coloring locally bipartite graphs on surfaces, J. Combin. Theory Ser. B, 84 (2002), pp. 301-310.
    • (2002) J. Combin. Theory Ser. B , vol.84 , pp. 301-310
    • Mohar, B.1    Seymour, P.D.2
  • 17
    • 0003589271 scopus 로고    scopus 로고
    • Johns Hopkins University Press, Baltimore, MD
    • B. Mohar and C. Thomassen, Graphs on surfaces, Johns Hopkins University Press, Baltimore, MD, 2001.
    • (2001) Graphs on Surfaces
    • Mohar, B.1    Thomassen, C.2
  • 18
    • 3142533001 scopus 로고    scopus 로고
    • Chromatic numbers and cycle parities of quadrangulations on nonorientable closed surfaces
    • A. Nakamoto, S. Negami and K. Ota, Chromatic numbers and cycle parities of quadrangulations on nonorientable closed surfaces, Discrete Math., 285 (2004), pp. 211-218.
    • (2004) Discrete Math. , vol.285 , pp. 211-218
    • Nakamoto, A.1    Negami, S.2    Ota, K.3
  • 20
    • 39749119880 scopus 로고    scopus 로고
    • Grad and classes with bounded expansion I. Decompositions
    • J. Nešetřil, P. Ossona de Mendez: Grad and classes with bounded expansion I. Decompositions, Europ. J. Combin., 29 (2008), pp. 760-776.
    • (2008) Europ. J. Combin. , vol.29 , pp. 760-776
    • Nešetřil, J.1    De Ossona Mendez, P.2
  • 21
    • 39749135520 scopus 로고    scopus 로고
    • Grad and classes with bounded expansion II. Algorithmic aspects
    • J. Nešetřil, P. Ossona de Mendez: Grad and classes with bounded expansion II. Algorithmic aspects, Europ. J. Combin., 29 (2008), pp. 777-791.
    • (2008) Europ. J. Combin. , vol.29 , pp. 777-791
    • Nešetřil, J.1    De Ossona Mendez, P.2
  • 22
    • 35449006232 scopus 로고
    • Rooted routing in the plane
    • B. Reed, Rooted routing in the plane, Discrete Appl. Math., 57 (1995), pp. 213-227.
    • (1995) Discrete Appl. Math. , vol.57 , pp. 213-227
    • Reed, B.1
  • 23
    • 43049096566 scopus 로고
    • Finding disjoint trees in planar graphs in linear time
    • B. A. Reed, N. Robertson, A. Schrijver and P. D. Seymour, Finding disjoint trees in planar graphs in linear time, Contemp. Math., 147 (1993), pp. 295-301.
    • (1993) Contemp. Math. , vol.147 , pp. 295-301
    • Reed, B.A.1    Robertson, N.2    Schrijver, A.3    Seymour, P.D.4
  • 25
    • 0000017283 scopus 로고
    • Solution of the Heawood map-coloring problem
    • G. Ringel and J. W. T. Youngs, Solution of the Heawood map-coloring problem, Proc. Nat. Acad. Sci. U.S.A., 60 (1968), pp. 438-445.
    • (1968) Proc. Nat. Acad. Sci. U.S.A. , vol.60 , pp. 438-445
    • Ringel, G.1    Youngs, J.W.T.2
  • 26
    • 38249038848 scopus 로고
    • Graph Minors VI. Disjoint paths across a disc
    • N. Robertson and P. D. Seymour, Graph Minors VI. Disjoint paths across a disc, J. Combin. Theory Ser. B, 41 (1986), pp. 115-138.
    • (1986) J. Combin. Theory Ser. B , vol.41 , pp. 115-138
    • Robertson, N.1    Seymour, P.D.2
  • 27
    • 45449125778 scopus 로고
    • Graph Minors VII. Disjoint paths on a surface
    • N. Robertson and P. D. Seymour, Graph Minors VII. Disjoint paths on a surface, J. Combin. Theory Ser. B, 45 (1988), pp. 212-254.
    • (1988) J. Combin. Theory Ser. B , vol.45 , pp. 212-254
    • Robertson, N.1    Seymour, P.D.2
  • 28
    • 84989472863 scopus 로고
    • An algorithm for fidning a forest in a planar graph - Case in which a net may have terminals on the two specified face boundaries
    • H. Suzuki, T. Akama and T. Nishiseki, An algorithm for fidning a forest in a planar graph - case in which a net may have terminals on the two specified face boundaries, Electron. Comm. Japan Part III Fund Electron. Sci, 72 (1989), pp. 68-79.
    • (1989) Electron. Comm. Japan Part III Fund Electron. Sci , vol.72 , pp. 68-79
    • Suzuki, H.1    Akama, T.2    Nishiseki, T.3
  • 29
    • 0000899024 scopus 로고
    • Grötzsch's 3-color theorem and its counterparts for the torus and the projective plane
    • C. Thomassen, Grötzsch's 3-color theorem and its counterparts for the torus and the projective plane, J. Combin. Theory Ser. B, 62 (1994), pp. 268-279.
    • (1994) J. Combin. Theory Ser. B , vol.62 , pp. 268-279
    • Thomassen, C.1
  • 30
    • 0031139081 scopus 로고    scopus 로고
    • Color-critical graphs on a fixed surface
    • C. Thomassen, Color-critical graphs on a fixed surface, J. Combin. Theory Ser. B, 70 (1997), pp. 67-100.
    • (1997) J. Combin. Theory Ser. B , vol.70 , pp. 67-100
    • Thomassen, C.1
  • 31
    • 0037289482 scopus 로고    scopus 로고
    • The chromatic number of a graph of girth 5 on a fixed surface
    • DOI 10.1016/S0095-8956(02)00027-8
    • C. Thomassen, The chromatic number of a graph of girth 5 on a fixed surface, J. Combin. Theory Ser. B, 87 (2003), pp. 38-71. (Pubitemid 36269960)
    • (2003) Journal of Combinatorial Theory. Series B , vol.87 , Issue.1 , pp. 38-71
    • Thomassen, C.1
  • 32
    • 0030548992 scopus 로고    scopus 로고
    • 4-chromatic projective graphs
    • D. A. Youngs, 4-chromatic projective graphs, J. Graph Theory, 21 (1996), pp. 219-227.
    • (1996) J. Graph Theory , vol.21 , pp. 219-227
    • Youngs, D.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.