The Upper Bound For The Largest Signless Laplacian Eigenvalue Of Weighted Graphs

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Gazi University Journal of Science
Volume:28 Issue:4
The Upper Bound For The Largest Signless Laplacian Eigenvalue Of Weighted Graphs

The Upper Bound For The Largest Signless Laplacian Eigenvalue Of Weighted Graphs

Authors : Şerife BÜYÜKKÖSE, Nurşah MUTLU

Pages : 709-714

View : 20 | Download : 7

Publication Date : 2015-12-16

Article Type : Research Paper

Abstract :In this study, we find an upper bound for the largest signless Laplacian eigenvalue of simple connected weighted graphs, where the edge weights are positive definite square matrices. Also we obtain some results on weighted and unweighted graphs by using this bound.
Keywords : Weighted graph, signless Laplacian eigenvalue, upper bound

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