%0 Journal Article %1 hou03 %A Hou, Yaoping %A Li, Jiongsheng %A Pan, Yongliang %D 2003 %J Linear and Multilinear Algebra %K eigenvalues graph.theory signed.graph %N 1 %P 21--30 %R 10.1080/0308108031000053611 %T On the Laplacian Eigenvalues of Signed Graphs %V 51 %X 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.

@article{hou03, 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. }, added-at = {2016-12-18T13:35:48.000+0100}, author = {Hou, Yaoping and Li, Jiongsheng and Pan, Yongliang}, biburl = {https://www.bibsonomy.org/bibtex/2bad204a9718edd81087b72c8f8ae8745/ytyoun}, doi = {10.1080/0308108031000053611}, interhash = {cdb1e1a47d2818281c20d4827c90bc7b}, intrahash = {bad204a9718edd81087b72c8f8ae8745}, journal = {Linear and Multilinear Algebra}, keywords = {eigenvalues graph.theory signed.graph}, number = 1, pages = {21--30}, timestamp = {2016-12-29T04:23:44.000+0100}, title = {On the {Laplacian} Eigenvalues of Signed Graphs}, volume = 51, year = 2003 }