On the Laplacian Eigenvalues of Signed Graphs

On the Laplacian Eigenvalues of Signed Graphs
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DOI:
10.1080/0308108031000053611
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发表时间:
2003-01
影响因子:
1.1
通讯作者:
Yaoping Hou;Jiongsheng Li;Yong-Liang Pan
Yaoping Hou;Jiongsheng Li;Yong-Liang Pan
中科院分区:
数学3区
文献类型:
--
作者:
Yaoping Hou;Jiongsheng Li;Yong-Liang Pan

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带符号图是每条边都附有符号的图。本文将拉普拉斯矩阵的一些基本概念从图扩展到符号图。特别是,研究了有符号图的最大拉普拉斯特征值,这将相应的结果推广到图的最大拉普拉斯特征值上。
A signed graph is a graph with a sign attached to each edge. This article extends some fundamental concepts of the Laplacian matrices from graphs to signed graphs. In particular, the largest Laplacian eigenvalue of a signed graph is investigated, which generalizes the corresponding results on the largest Laplacian eigenvalue of a graph.