On λ-harmonic graphs

作     者：LIU Mu-huo LIU Bo-lian 

作者机构：Dept. of Math. South China Agricultural Univ. Guangzhou 510642 China College of Math. Sci. South China Normal Univ. Guangzhou 510631 China 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2009年第24卷第2期

页      面：245-252页

核心收录：

学科分类：0808[工学-电气工程] 080803[工学-高电压与绝缘技术] 08[工学] 0835[工学-软件工程] 081202[工学-计算机软件与理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the fund of South China Agricultural University (4900-K08225) supported by the National Natural Science Foundation of China(10771080) Specialized Research Fund for the Doctoral Program of Higher Eduction (20070574006) 

主　　题：harmonic graph regular graph line graph degree series 

摘      要：A λ harmonic graph G, a λ-Hgraph G for short, means that there exists a constant A such that the equality λd（ui） = ∑（vi,vj）∈E（G） d（vj） holds for all i = 1, 2,…, ｜V（G）｜, where d（vi） denotes the degree of vertex vi. In this paper, some harmonic properties of the complement and line graph are given, and some algebraic properties for the λ-Hgraphs are obtained.