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K-Factors and Hamilton Cycles in Graphs 被引量:1

K-Factors and Hamilton Cycles in Graphs
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摘要 We discuss k-factors and Hamiltonian Graphs in graph theory. We prove a general version of the conjecture by R. Haggkvist; as a result, we prove two extended versions of two well-known theorems due to O. Ore and B. Jachson, respectively. We discuss k-factors and Hamiltonian Graphs in graph theory. We prove a general version of the conjecture by R. Haggkvist; as a result, we prove two extended versions of two well-known theorems due to O. Ore and B. Jachson, respectively.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第2期309-312,共4页 数学学报(英文版)
基金 supported by the Key Laboratory of Power System,Tsinghua University
关键词 K-FACTOR 2-connected graph Hamilton cycle k-factor, 2-connected graph, Hamilton cycle
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  • 1Liu.Y.P.:Enumerative Theory of Maps,Kluwer Academic Publisher,Dordrecht,Boston,London,1999.
  • 2Biggs.N.L.:Automorphisms of imbedded graphs.J.Combin.Theory,11,132—138(1971).
  • 3Biggs,N.L.,White,A.T.:Permutation Groups and Combinatoric Structure,Cambridge University Press,Cambridge,1979.
  • 4Mull,B.P.,Rieper,R G.,White,A.T.:Enumeration 2-cell imbeddings of connected graphs.Proc.Amer.Math.Soc.,103,321-330(1988).
  • 5Mull.B.P.;Enamerating the orientable 2-cell imbeddings of complete bipartite graphs.J.Graph Theory,30(2).77—90 (1999).
  • 6Tutte.W.T.:What is a maps?in“New Directions in the Theory of Graphs”(ed.by F.Harary),Academic Press,309-325,1973.
  • 7Mao,L.F.,Liu Y.P.,Tian,F.:0n the number of complete maps on surfaces.Submitted to Discrete Math.
  • 8Mao,L.F.,Liu,Y P.:Automorphisms of maps with underlying Cayley graph and its application to enumeration.Submitted to Discrete Math.
  • 9Liskovets,V.A.:Enumeration of non—isomorphic planar maps.Sel.Math.Sov.,4(4),303—323(1985).
  • 10Liskovets,V.A.:A reductive technique for Enumerating non-isomorphic planar maps.Discrete Math,156,197-217(1996).

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