JSEA  Vol.6 No.3 B , March 2013
Felicitous Labellings of Some Network Models
ABSTRACT
Building up graph models to simulate scale-free networks is an important method since graphs have been used in researching scale-free networks. One use labelled graphs for distinguishing objects of communication and information networks. In this paper some methods are given for constructing larger felicitous graphs from smaller graphs having special felicitous labellings, and some network models are shown to be felicitous.

Cite this paper
J. Zhang, B. Yao, Z. Wang, H. Wang, C. Yang and S. Yang, "Felicitous Labellings of Some Network Models," Journal of Software Engineering and Applications, Vol. 6 No. 3, 2013, pp. 29-32. doi: 10.4236/jsea.2013.63B007.
References
[1]   J. A. Gallian. A Dynamic Survey of Graph Labeling. The lec-tronic journal of combinatorics, 17 (2010), # DS6.

[2]   Graham R J, Sloane N J A. On additive bases and harmonious graphs. SIAM J Algebraic Discrete Mathods, 29(1) (1980), 382-404.

[3]   Rikio Ichishma and Akito Oshima. On partitional and other related graphs. preprint.

[4]   Li L., Al-derson D., Tanaka R., Doyle J.C., and Willinger, W. Towards A Theory Of Scale-Free Graphs: Definition, Properties, And Implications. Internet Mathematics 2 (4) (2005), 431-523.

[5]   Bing Yao, Ming Yao, Hui Cheng, Jin-wen Li, Ji-guo Xie and Zhong-fu Zhang. On Felicitous Labelling of Trees. The proceeding of The 4th International Workshop on Graph Labeling (IWOGL 2008), Harbin Engineering University and University of Ballarat, Australia, January, 2008. pp5-8.

[6]   Bing Yao, Xiang'en Chen, Ming Yao, Hui Cheng. On (k, ?)-magically total labeling of graphs. submitted to JCMCC.

[7]   Bing Yao, Hui Cheng, Ming Yao and MeiMei Zhao. A Note on Strongly Graceful Trees. Ars Combinatoria 92 (2009), 155-169.

[8]   Xiangqian Zhou, Bing Yao, Xiang'en Chen, and Haixia Tao. A proof to the odd-gracefulness of all lobsters. Ars Combinatoria, Volume CIII, January (2012),13-18.

[9]   Bing Yao, Xiang'en Chen, Xiangqian Zhou,Jiajuan Zhang, Xiaomin Zhang, Ming Yao, Mogang Li, Jianming Xie. Graphs Related With Scale-free Networks. Pro-ceeding of The 2nd International Conference on Electronics, Communications and Control (ICECC2012), October, 2012, Zhoushan, China, 284-287.

 
 
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