- Gazi University Journal of Science
- Vol: 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 : 11 | Download : 4
Publication Date : 2015-12-28
Article Type : Other
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