메뉴 건너뛰기




Volumn 75, Issue 2, 1999, Pages 245-258

The Game Coloring Number of Planar Graphs

(1)  Zhu, Xuding a  

a NONE

Author keywords

Back degree; Coloring number; Decomposition; Game chromatic number; Game coloring number; Light edge; Linear order; Planar graph

Indexed keywords


EID: 0038621143     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1006/jctb.1998.1878     Document Type: Article
Times cited : (132)

References (21)
  • 1
    • 84974403739 scopus 로고
    • An acyclic analogue to Heawood's theorem
    • Albertson M. O., Berman D. M. An acyclic analogue to Heawood's theorem. Glasgow Math. J. 19:1978;163-166.
    • (1978) Glasgow Math. J. , vol.19 , pp. 163-166
    • Albertson, M.O.1    Berman, D.M.2
  • 3
    • 0345991645 scopus 로고
    • A generalization of Kotzig's theorem and prescribed edge coloring of planar graphs
    • Borodin O. V. A generalization of Kotzig's theorem and prescribed edge coloring of planar graphs. Math. Notes Acad. Sci. USSR. 48:1990;1186-1190.
    • (1990) Math. Notes Acad. Sci. USSR , vol.48 , pp. 1186-1190
    • Borodin, O.V.1
  • 4
    • 49249149212 scopus 로고
    • On acyclic colorings of planar graphs
    • Borodin O. V. On acyclic colorings of planar graphs. Discrete Math. 25:1979;211-236.
    • (1979) Discrete Math. , vol.25 , pp. 211-236
    • Borodin, O.V.1
  • 5
    • 84985350753 scopus 로고
    • Structural properties of planar maps with minimum degree 5
    • Borodin O. V. Structural properties of planar maps with minimum degree 5. Math. Nachr. 158:1992;109-117.
    • (1992) Math. Nachr. , vol.158 , pp. 109-117
    • Borodin, O.V.1
  • 6
    • 84985385623 scopus 로고
    • On light edges and triangles in planar graphs of minimum degree five
    • Borodin O. V., Sanders D. P. On light edges and triangles in planar graphs of minimum degree five. Math. Nachr. 170:1994;19-24.
    • (1994) Math. Nachr. , vol.170 , pp. 19-24
    • Borodin, O.V.1    Sanders, D.P.2
  • 8
    • 0001856099 scopus 로고    scopus 로고
    • On chromatic number of graphs and set systems
    • Erdos P., Hajnal A. On chromatic number of graphs and set systems. Acta Math. Acad. Sci. Hungar. 17:1996;61-19.
    • (1996) Acta Math. Acad. Sci. Hungar. , vol.17 , pp. 61-19
    • Erdos, P.1    Hajnal, A.2
  • 9
    • 0038621183 scopus 로고
    • On the game chromatic number of some classes of graphs
    • Faigle U., Kern U., Kierstead H., Trotter W. T. On the game chromatic number of some classes of graphs. Ars Combin. 35:1993;143-150.
    • (1993) Ars Combin. , vol.35 , pp. 143-150
    • Faigle, U.1    Kern, U.2    Kierstead, H.3    Trotter, W.T.4
  • 10
    • 84979321606 scopus 로고
    • Über eine von H. S. Wilf angegebene Schranke für die chromatiche Zahl endlicher Graphen
    • Finck H.-J., Sachs H. Über eine von H. S. Wilf angegebene Schranke für die chromatiche Zahl endlicher Graphen. Math. Nachr. 39:1969;373-386.
    • (1969) Math. Nachr. , vol.39 , pp. 373-386
    • Finck, H.-J.1    Sachs, H.2
  • 11
    • 85086480253 scopus 로고    scopus 로고
    • The game chromatic number of outerplanar graphs
    • D. Guan, X. Zhu, The game chromatic number of outerplanar graphs, J. Graph Theory.
    • J. Graph Theory
    • Guan, D.1    Zhu, X.2
  • 12
    • 0013482323 scopus 로고
    • Unterteilungen vollständiger Graphen in Graphen mit unendlicher chromatiche Zahl
    • Halin R. Unterteilungen vollständiger Graphen in Graphen mit unendlicher chromatiche Zahl. Abh. Math. Sem. Univ. Hamburg. 31:1967;156-165.
    • (1967) Abh. Math. Sem. Univ. Hamburg , vol.31 , pp. 156-165
    • Halin, R.1
  • 13
    • 0011636423 scopus 로고
    • A min-max theorem for graphs with application to graph coloring
    • Matula A. W. A min-max theorem for graphs with application to graph coloring. SIAM Rev. 10:1968;481-482.
    • (1968) SIAM Rev. , vol.10 , pp. 481-482
    • Matula, A.W.1
  • 15
    • 84987487282 scopus 로고
    • Planar graph coloring with an uncooperative partner
    • Kierstead H. A., Trotter W. T. Planar graph coloring with an uncooperative partner. J. Graph Theory. 18:1994;569-584.
    • (1994) J. Graph Theory , vol.18 , pp. 569-584
    • Kierstead, H.A.1    Trotter, W.T.2
  • 17
    • 0002584803 scopus 로고
    • From the theory of Euler's polyhedrons
    • Kotzig A. From the theory of Euler's polyhedrons. Mat. Čas. 13:1963;20-34.
    • (1963) Mat. Čas. , vol.13 , pp. 20-34
    • Kotzig, A.1
  • 20
    • 0030543609 scopus 로고    scopus 로고
    • On the effect of major vertices on the number of light edges
    • Sanders D. P. On the effect of major vertices on the number of light edges. J. Graph Theory. 21:1996;317-322.
    • (1996) J. Graph Theory , vol.21 , pp. 317-322
    • Sanders, D.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.