An upper bound on the Laplacian spectral radius of the signed graphs

نویسندگان

  • Hong-Hai Li
  • Jiong Sheng Li
چکیده

In this paper, we established a connection between the Laplacian eigenvalues of a signed graph and those of a mixed graph, gave a new upper bound for the largest Laplacian eigenvalue of a signed graph and characterized the extremal graph whose largest Laplacian eigenvalue achieved the upper bound. In addition, an example showed that the upper bound is the best in known upper bounds for some cases.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 28  شماره 

صفحات  -

تاریخ انتشار 2008