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math.CO2018
A counterexample to a conjecture of Wang and Hou on signed graphs
Asghar Bahmani
We give a counterexample to a conjecture of Wang and Hou related with the sum of the largest Laplacian eigenvalues of signed graphs.
math.CO2018
Convex functions on graphs: Sum of the eigenvalues
Asghar Bahmani
Let be a simple graph with the Laplacian matrix and let be the number of edges of . A conjecture by Brouwer and a conjecture by Grone and Merris state that the…