Small graphs with exactly two non-negative eigenvalues

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Unicyclic graphs with exactly two main eigenvalues

An eigenvalue of a graph G is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero, and it is well known that a graph has exactly one main eigenvalue if and only if it is regular. In this work, all connected unicyclic graphs with exactly two main eigenvalues are determined. c © 2006 Elsevier Ltd. All rights reserved.

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ژورنال

عنوان ژورنال: Algebraic structures and their applications

سال: 2017

ISSN: 2382-9761,2423-3447

DOI: 10.29252/asta.4.1.1