Partial characterization of graphs having a single large Laplacian eigenvalue
Fecha
2018Autor
Abstract
The parameter (G) of a graph G stands for the number of Laplacian eigenvalues greater than or equal to the average degree of G. In this work, we address the problem of characterizing those graphs G having (G) = 1. Our conjecture is that these graphs are stars plus a (possible empty) set of isolated vertices. We establish a link between (G) and the number of anticomponents of G. As a by-product, we present some results which support the conjecture, by restricting our analysis to cographs, forest ...
The parameter (G) of a graph G stands for the number of Laplacian eigenvalues greater than or equal to the average degree of G. In this work, we address the problem of characterizing those graphs G having (G) = 1. Our conjecture is that these graphs are stars plus a (possible empty) set of isolated vertices. We establish a link between (G) and the number of anticomponents of G. As a by-product, we present some results which support the conjecture, by restricting our analysis to cographs, forests, and split graphs. ...
En
The Electronic Journal of Combinatorics. United States. Vol. 25, n. 4, 2018, p. 1-10, P4.65
Origen
Estranjero
Colecciones
-
Artículos de Periódicos (42116)Ciencias Exactas y Naturales (6311)
Este ítem está licenciado en la Creative Commons License
