期刊文献+

图K^c_r∨K_s的邻点可区别全色数 被引量:5

Adjacent-Vertex-Distinguishing Total Chromatic Number of K^c_r∨K_s
下载PDF
导出
摘要 利用组合分析方法研究r阶空图与s阶完全图的联图Krc∨Ks的邻点可区别全色数问题,得到了当r+s为奇数且s>r2+2r-1时,χat(Krc∨Ks)=r+s+2,其中χat(G)表示图G的邻点可区别全色数. The adjacent-vertex-distinguishing total chromatic number of Kcr∨Ks,the join of empty graph of order r and complete graph of order s,was discussed via the method of combinatory analysis.One important result χat(Kcr∨Ks)=r+s+2 holds when r+s is an odd number and sr2+2r-1,where χat(G) represents the adjacent-vertex-distinguishing total chromatic number.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2011年第1期68-70,共3页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10771091) 甘肃省教育厅科研基金(批准号:0501-02)
关键词 邻点可区别全染色 邻点可区别全色数 联图 adjacent-vertex-distinguishing total coloring adjacent-vertex-distinguishing total chromatic number join of graphs
  • 相关文献

参考文献10

  • 1Cerny, J, Hornak M, Sotak R. Observability of a Graph [J]. Math Slovaca, 1996, 46( 1 ) : 21-31. 被引量:1
  • 2Burris A C, Schelp R H. Vertex-Distinguishing Proper Edge-Coloring [J]. J Graph Theory, 1997, 26(2) : 73-82. 被引量:1
  • 3Hornak M, Sotak R. Observability of Complete Muhipartite Graphs with Equipotent Parts [ J]. Ars Combin, 1995,41 : 289-301. 被引量:1
  • 4Bazgan C, Harkat-Benhamdine A, LI Hao, et al. On the Vertex-Distinguishing Proper Edge Colorings of Graphs [J].J Combin Theory: Ser B, 1999, 75(2) : 288-301. 被引量:1
  • 5ZHANG Zhongfu, CHEN Xiang’en, LI Jingwen, YAO Bing, LU Xinzhong & WANG Jianfang College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China,Department of Computer, Lanzhou Normal College, Lanzhou 730070, China,Institute of Applied Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China,College of Information and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China,Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China.On adjacent-vertex-distinguishing total coloring of graphs[J].Science China Mathematics,2005,48(3):289-299. 被引量:175
  • 6CHEN Xiang-en. Adjacent-Vertex-Distinguishing Total Chromtic Numbers on K2n+1-E(P3 )[J].International Journal of Pure and Applied Mathematics, 2004, 13(1 ) : 21-29. 被引量:1
  • 7CHEN Xiang-en. On the Adjacent Vertex Distinguishing Total Coloring Numbers of Graphs with △ = 3 [ J ]. Discrete Mathematics, 2008, 308(17) : 4003-4007. 被引量:1
  • 8Hulgan J. Concise Proofs for Adjacent Vertex Distinguishing Total Colorings[J]. Discrete Mathematics, 2009, 309 (8) : 2548 -2550. 被引量:1
  • 9CHEN Xiang-en, ZHANG Zhong-fu. AVDTC Numbers of Generalized Halin Graphs with Maximum Degree at Least 6 [ J]. Acta Mathematicae Applicatae Sinica: English Series, 2008, 24(1) : 55-58. 被引量:1
  • 10ZHANG Zhong-fu, QIU Peng-xiang, XU Bao-gen, et al. Vertex-Distinguishing Total Colorings of Graphs [J]. Ars Combinatoria, 2008, 87(2): 33-45. 被引量:1

二级参考文献1

  • 1Bums,A. C,Schelp,R. H.Vertex-distinguishing proper edge-colorings, J[].of Graph Theory.1997 被引量:1

共引文献174

同被引文献28

引证文献5

二级引证文献16

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