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On λ-harmonic graphs
基金项目:The first author is supported by the fund of South China Agricultural University (4900-K08225), the second author is the corresponding author who is supported by the National Natural Science Foundation of China (10771080) and Specialized Research Fund for the Doctoral Program of Higher Eduction (20070574006)
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.

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