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关于可嵌人曲面图的列表(d,1)-全标号问题
引用本文:于永,张欣,刘桂真.关于可嵌人曲面图的列表(d,1)-全标号问题[J].运筹学学报,2011,15(3):29-37.
作者姓名:于永  张欣  刘桂真
作者单位:山东大学数学学院
基金项目:Graduate Independent Innovation Foundation of Shandong University(yzc11025); National Natural Science Foundation of China(61070230,11026184,10901097); Research Fund for the Doctoral Program of Higher Education of China(200804220001,20100131120017); the Scientific Research Foundation for the Returned Overseas Chinese Scholars
摘    要:图的(d,1)-全标号问题最初是由Havet等人提出的.在本文中,我们考虑了可嵌入曲面图的列表(d,1)-全标号问题,并证明了其列表(d,1)-全标号数不超过△(G)+2d.

关 键 词:(d  1)-全标号  列表(d  1)-全标号  列表(d  1)-全标号数  

List (d,1)-Total Labelling of Graphs Embedded in Surfaces
YU Yongi,ZHANG Xin,LIU Guizhen.List (d,1)-Total Labelling of Graphs Embedded in Surfaces[J].OR Transactions,2011,15(3):29-37.
Authors:YU Yongi  ZHANG Xin  LIU Guizhen
Institution:YU Yong ZHANG Xin LIU Guizhen School of Mathematics,Shandong University,Jinan 250100,China
Abstract:The (d,1)-total labelling of graphs was introduced by Havet and Yu.In this paper,we consider the list version of (d,1)-total labelling of graphs.Let G be a graph embedded in a surface with Euler characteristic ε whose maximum degree △(G) is sufficiently large.We prove that the list (d,1)-total labelling number ChTd,1(G) of G is at most △(G) + 2d.
Keywords:(d  1)-total labelling  list (d  1)-total labelling  list (d  1)-total labelling number  graphs
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