| On Balance Index Set for the General Butterfly Graph |
| Received:August 03, 2007 Revised:October 06, 2008 |
| Key Words:
friendly labeling balance labeling balance index set.
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| Fund Project:the National Natural Science Foundation of China (No.10671005); the Natural Science Foundation of Hebei Province (No.A2007000230). |
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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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