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.
基金
the National Natural Science Foundation of China （No. 10671005）
the Natural Science Foundation of Hebei Province （No. A2007000230）.
