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Bounds for the Least Laplacian Eigenvalue of a Signed Graph

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文摘 A signed graph is a graph with a sign attached to each edge. This paper extends some fundamental concepts of the Laplacian matrices from graphs to signed graphs. In particular, the relationships between the least Laplacian eigenvalue and the unbalancedness of a signed graph are investigated.
来源 Acta Mathematica Sinica. English Series ,2005,21(4):955-960 【核心库】
DOI 10.1007/s10114-004-0437-9
关键词 Signed graph ; Laplacian matrix ; The least eigenvalue ; Balanced signed graph
地址

Department of Mathematics, Hunan Normal University, 湖南, Changsha, 410081

语种 英文
ISSN 1439-8516
学科 数学
基金 湖南省教育厅项目 ;  国家自然科学基金
文献收藏号 CSCD:2235618

参考文献 共 11 共1页

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引证文献 4

1 Zhang Xiaodong Non-bipartite Graphs with Third Largest Laplacian Eigenvalue Less Than Three Acta Mathematica Sinica. English Series,2006,22(3):917-934
CSCD被引 0 次

2 Guo J M On the distribution of Laplacian eigenvalues of a graph Acta Mathematica Sinica. English Series,2011,27(11):2259-2268
CSCD被引 1

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