Article ID Journal Published Year Pages File Type
4649846 Discrete Mathematics 2009 6 Pages PDF
Abstract

A graph GG is said to be determined by its Q-spectrum   if with respect to the signless Laplacian matrix QQ, any graph having the same spectrum as GG is isomorphic to GG. The lollipop graph  , denoted by Hn,pHn,p, is obtained by appending a cycle CpCp to a pendant vertex of a path Pn−pPn−p. In this paper, it is proved that all lollipop graphs are determined by their QQ-spectra.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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