期刊文献+

几类特殊图的(2,1)-全标号

The (2,1)-Total Labelling of Some Special Graphs
原文传递
导出
摘要 研究了与频道分配有关的一种染色-(p,1)-全标号.通过在一个顶点粘结不同的简单图构造了几类有趣图,根据所构造图的特征,利用穷染法,给出了一种标号方法,得到了平凡和非平凡叶子图Gm,4、风车图K3t和图Dm,n的(2,1)-全标号数.(p,1)-全标号是对图的全染色的一种推广. In this paper, we studied a coloring problem-(p, 1)-total labelling of some graphs, which is related to frequency assignment. Some special graphs were constructed by bonding different simple graphs in one vertex in this paper. By using the eternal coloring method, we gave a new labelling method according to the feature of these graphs and obtained the (2,1)-total numbers of Gin,4 graph, K3^t graph and Dm,n graph. And the (p, 1)-total labelling of graphs extends the total coloring of graphs.
作者 刘秀丽
机构地区 菏泽学院数学系
出处 《数学的实践与认识》 CSCD 北大核心 2013年第18期141-145,共5页 Mathematics in Practice and Theory
关键词 染色 (p 1)-全标号 (p 1)-全标号数 coloring (p, 1)-total labelling (p, 1)-total number
  • 相关文献

参考文献11

  • 1Bresar B, Klavzar S, Rall D F. On the packing number of cartesian products, hexagonal lattice and trees[J]. Discrete Applied Mathematices, 2007, 155(17): 2303-2311. 被引量:1
  • 2Griggs J R, Yeh R K. Labelling graphs with a condition at distance two[J]. SIAM J Discrete Math, 1992, 5(4): 586-595. 被引量:1
  • 3Georges J P, Mauro D W, Stein M I. Labelling products of complete graphs with a condition at distance two[J]. SIAM J Discrete Math, 2001, 14(1): 28-35. 被引量:1
  • 4Georges J P, Mauro D W, Whittles M A.Relating path covering to vertex labellings with a condition at distance two[J]. Discrete Math, 1994, 1 35(1-3): 103-111. 被引量:1
  • 5Chang G J, Ke W -T, Kuo D, Liu D D -F, Yeh R K. On L(d, 1)-labelling of graphs[J]. Discrete Math, 2000, 220: 57-66. 被引量:1
  • 6Whittles M A, Georges J P, Mauro D W. On the),umber of Q and related graphs[J]. SIAM J Discrete Math, 1995, 8(4): 499-506. 被引量:1
  • 7Havet F, Yu M L. (p,1)-Total labelling of graphs[J]. Discrete Math, 2008, 308(4): 496-513. 被引量:1
  • 8Bollobas B. Modern Graph Theory[M]. New York: Springer-Verlag, 1998, 145-177. 被引量:1
  • 9Bondy J A, Murty U S R. Graph Theory with Applications[M]. London: Macmillan Press Ltd, 1976. 被引量:1
  • 10Chen Dong, Wang Wei-fan. (2,1)-Total labelling of outer planar graphs[J]. Discrete Applied Math- ama,tic.s. 2007. 155(18): 2585-2593. 被引量:1

二级参考文献6

  • 1Balister P N,Bolloba h B,Shelp R H.Vertex distinguishing coloring of graphs with (G)=2[J].Discrete Mathematics,2002,252:17-29. 被引量:1
  • 2Zhang Zhongfu.On the adjacent vertex distinguish total coloring of graphs[J].Science in China Ser A,2004,10:574-583. 被引量:1
  • 3ZHANG Zhong-fu,LIU Lin-zhong,WANG Jian-fang.Adjacent strong edge coloring of graph[J].Applied Mathematics Letters,2002,15(5):623-626. 被引量:1
  • 4GY6RI E,HORNAK M,PALMER C,et a1.General neighbour-distinguishing index of a graph[J].Discrete Mathematics,Special Issue devoted to BBS 2005. 被引量:1
  • 5BARIL J L,KHEDDOUCI H,TOBNI O.Adjacent vertex distinguishing edge-coloring of meshes and hypercubes[J].Australasian Journal of Combinatorics,2006,35:89-102. 被引量:1
  • 6BONDY J A,MURTY U S R.Graph Theory with Applications[M].New York:Macmillan,Longdon and Elsevier,1976. 被引量:1

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部