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On graphs with adjacency and signless Laplacian matrix eigenvectors entries in $\{-1, +1\}$ by Alencar, Jorge; de Lima, Leonardo is a scholarly article available to read on EtoBox.

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Let $G$ be a simple graph. In 1986, Herbert Wilf asked what kind of graphs have an eigenvector with entries formed only by $\pm 1$? In this paper, we answer this question for the adjacency, Laplacian and signless Laplacian matrix of a graph. Besides, we generalize the concept of an exact graph to the adjacency and signless Laplacian matrices. Infinity families of exact graphs for all those matrices are presented.

Author

Alencar, Jorge; de Lima, Leonardo

Published

2019

Language

EN