期刊文献+

具有奇优美性的一类龙图 被引量:5

A Class of Dragon Graphs with Odd-Gracefulness
下载PDF
导出
摘要 根据复杂网络研究的需要,定义了(k,m)-龙图和一致(k,m)-龙图,这类图具有优美性、奇优美性等性质.主要研究了这类龙图的奇优美性,定义了这类龙图的奇优美标号,其证明方法可算法化. Based on the need of research of complex networks,we define a class of graphs,called(k,m)-dragon graphs and uniformly(k,m)-dragon graphs,which are graceful or odd-graceful.We propose and define the notion of odd graceful labelings of dragon graphs and investigate their odd-gracefulness in detail. Our methods can be algorithmic.Through the definition of dragon graphs and proofs of their theorems,we get some simple but useful conclusions.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第4期47-51,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(61163054 61163037) 甘肃省自然科学基金(3ZS051-A25-025)
关键词 龙图 奇优美标号 奇优美图 dragon graph odd-graceful labeling odd-graceful graph
  • 相关文献

参考文献9

  • 1LIU Xin sheng, AN Ming-qiang, GAO Yang. An Upper Bound for Chromatic Number of a Graph [J]. Acta Mathematieae Siniea, 2009, the Adjacent-Vertex Distinguishing Acyclic Edge 25(1) : 137-140.
  • 2LIU Xin Sheng,AN Ming Qiang,GAO Yang.An Upper Bound for the Adjacent Vertex-Distinguishing Total Chromatic Number of a Graph[J].Journal of Mathematical Research and Exposition,2009,29(2):343-348. 被引量:17
  • 3于艳华,王文祥,张昆龙.k-优美图与优美图G_(k-1)的优美性研究[J].西南师范大学学报(自然科学版),2012,37(5):1-5. 被引量:7
  • 4程辉,李晓辉,姚兵.连通多叶图的几种标号[J].西南大学学报(自然科学版),2011,33(10):92-95. 被引量:3
  • 5GNANAJOTHI R B. Topics in Graph Theory [D]. Madurai: Madurai Kamaraj University, 1991.
  • 6BONDY J A, MURTY U S R. Graph Theory with Applications [M]. New York: The MaCmillan Press ltd, 1976.
  • 7GALLIAN J A. A Dynamic Survey of Graph Labelling [EB/OL]. [2012-12-20]. http: //emis. matem, unam. mx/ journals/[JC/Surveys/dsb, pdf.
  • 8YAO Bing, CHENG Hui, YAO Ming, et al. A Note on Strongly Graceful Trees [J]. Ars Comhinatoria, 2009, 92: 155-169.
  • 9刘信生,刘元元,姚兵,缑艳.龙图的优美性[J].兰州理工大学学报,2013,39(3):133-135. 被引量:13

二级参考文献18

  • 1ZHANG 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:174
  • 2谢德政.关于几乎正则2-连通图的Hamilton性的注记[J].西南师范大学学报(自然科学版),2004,29(4):570-572. 被引量:4
  • 3魏丽侠,贾治中.非连通图G_1uG_2及G_1uG_2uK_2的优美性[J].应用数学学报,2005,28(4):689-694. 被引量:26
  • 4孙磊,孙艳丽,董海燕.几类图的相邻顶点可区别的全染色[J].西南师范大学学报(自然科学版),2006,31(4):1-4. 被引量:7
  • 5马海成.路并的匹配等价图数[J].西南师范大学学报(自然科学版),2007,32(3):6-9. 被引量:10
  • 6BONDY J A, MURTY U S R. Graph Theory with Applications [M]. New York: The Macmillan Press ltd, 1976.
  • 7BACA M, BERTAULT F, MACDOUGALL J A, et al. Vertex-Antimagic Total Labelings of Graphs, Discuss Math [J]. Graph Theory, 2003, 23: 67-83.
  • 8CHENG Hui, YAO Bing, CHEN Xiang-en, et al. On Graceful Generalized Spiders and Caterpillars [J]. Ars Combina toria, 2008, 87(2): 181- 191.
  • 9JOSEPH A G. A Dynamic Survey of Graph Labeling [J]. The Electronic Journal of Combinatorics, 2010(17) : 1-219.
  • 10TRUSZCZYHSKI M. Graceful Unicyclic Graphs [J]. Demonstatio Mathematica, 1984, 17: 377 -387.

共引文献35

同被引文献30

引证文献5

二级引证文献10

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