Maximum degree and minimum degree spectral radii of some graph operations

New results relating to the maximum and minimum degree spectral radii of generalized splitting and shadow graphs have been constructed on the basis of any regular graph, referred as base graph. In particular, we establish the relations of extreme degree spectral radii of generalized splitting and sh...

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Bibliographic Details
Published in:Mathematical biosciences and engineering : MBE Vol. 19; no. 10; pp. 10108 - 10121
Main Authors: Zhang, Xiujun, Bilal, Ahmad, Munir, M. Mobeen, Rehman, Hafiz Mutte ur
Format: Journal Article
Language:English
Published: AIMS Press 01-01-2022
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Summary:New results relating to the maximum and minimum degree spectral radii of generalized splitting and shadow graphs have been constructed on the basis of any regular graph, referred as base graph. In particular, we establish the relations of extreme degree spectral radii of generalized splitting and shadow graphs of any regular graph.
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ISSN:1551-0018
1551-0018
DOI:10.3934/mbe.2022473