On Balance Index Set for the General Butterfly Graph  

作　　者：WEN YI Hui KANG Qing De 

机构地区：[1]Department of Applied Mathematics, University of Science and Technology of Suzhou, Jiangsu 215009, China [2]Institute of Mathematics, Hebei Normal University, Hebei 050016, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第2期202-212,共11页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China （No. 10671005）; the Natural Science Foundation of Hebei Province （No. A2007000230）.

摘　　要：In this paper, we introduce the concept of the general butterfly graph B[m,n;d] for integers m,n ≥ 3, d ≥ 1, determine its balance index set, and give the necessary and sufficient condition for balanced graph B[m,n;d] to exist.In this paper, we introduce the concept of the general butterfly graph B[m, n; d] for integers m,n ≥ 3, d ≥ 1, determine its balance index set, and give the necessary and sufficient condition for balanced graph B[m, n; d] to exist.

关 键 词：friendly labeling balance labeling balance index set. 

分 类 号：O157.5[理学—数学]