Coronae Graphs and Their α-Eigenvalues

Let G 1 and G 2 be two simple connected graphs. The properties of α - eigenvalues of four coronal graphs of G 1 and G 2 : G 1 ∘ G 2 , G 1 ◊ G 2 , G 1 ⊙ G 2 and G 1 ⊝ G 2 have been studied. As an application, we construct infinitely many pairs of non-isomorphic graphs with the same α -eigenvalues....

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Bibliographic Details
Published in:	Bulletin of the Malaysian Mathematical Sciences Society Vol. 43; no. 4; pp. 2911 - 2927
Main Authors:	Tahir, Muhammad Ateeq, Zhang, Xiao-Dong
Format:	Journal Article
Language:	English
Published:	Singapore Springer Singapore 01-07-2020 Springer Nature B.V
Subjects:	Applications of Mathematics Eigenvalues Graphs Mathematics Mathematics and Statistics 05C76 Isospectral graph Edge corona 05C50 vertex corona Eigenvalue Corona
Online Access:	Get full text
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Summary:	Let G 1 and G 2 be two simple connected graphs. The properties of α - eigenvalues of four coronal graphs of G 1 and G 2 : G 1 ∘ G 2 , G 1 ◊ G 2 , G 1 ⊙ G 2 and G 1 ⊝ G 2 have been studied. As an application, we construct infinitely many pairs of non-isomorphic graphs with the same α -eigenvalues.
ISSN:	0126-6705 2180-4206
DOI:	10.1007/s40840-019-00845-2