On the Laplacian Eigenvalues of Signed Graphs |
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| Authors: | Yaoping Hou Jiongsheng Li Yongliang Pan |
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| Institution: |
a Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, P.R. China.
b Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China. |
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| Abstract: | 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. |
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| Keywords: | Signed Graph Laplacian Matrix Largest Eigenvalue Balanced Signed Graph |
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