On Balance Index Set for the General Butterfly Graph
Received:August 03, 2007  Revised:October 06, 2008
Key Word: friendly labeling   balance labeling   balance index set.  
Fund ProjectL:the National Natural Science Foundation of China (No.10671005); the Natural Science Foundation of Hebei Province (No.A2007000230).
Author NameAffiliation
WEN Yi Hui Department of Applied Mathematics, University of Science and Technology of Suzhou, Jiangsu 215009, China 
KANG Qing De Institute of Mathematics, Hebei Normal University, Hebei 050016, China 
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Abstract:
      In this paper, we introduce the concept of the general butterfly graph $B[m,n;d]$ for integers $m,n\geq3$, $d\geq1$, determine its balance index set, and give the necessary and sufficient condition for balanced graph $B[m,n;d]$ to exist.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.02.002
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