Article ID Journal Published Year Pages File Type
419691 Discrete Applied Mathematics 2013 8 Pages PDF
Abstract

In this paper, we investigate the relation between the QQ-spectrum and the structure of GG in terms of the circumference of GG. Exploiting this relation, we give a novel necessary condition for a graph to be Hamiltonian by means of its QQ-spectrum. We also determine the graphs with exactly one or two QQ-eigenvalues greater than or equal to 22 and obtain all minimal forbidden subgraphs and maximal graphs, as induced subgraphs, with respect to the latter property.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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