𝒫-energy of graphs-Reference-Cited by-同舟云学术

𝒫-energy of graphs

Published:2020-07-01 Issue:1 Volume:12 Page:137-157
ISSN:2066-7760
Container-title:Acta Universitatis Sapientiae, Informatica
language:en
Short-container-title:

Author:

Joshi Prajakta Bharat¹,Joseph Mayamma¹

Affiliation:

1. Department of Mathematics , CHRIST(Deemed to be University) , Bangalore , India .

Abstract

Abstract Given a graph G = (V, E), with respect to a vertex partition 𝒫 we associate a matrix called 𝒫-matrix and define the 𝒫-energy, E𝒫 (G) as the sum of 𝒫-eigenvalues of 𝒫-matrix of G. Apart from studying some properties of 𝒫-matrix, its eigenvalues and obtaining bounds of 𝒫-energy, we explore the robust(shear) 𝒫-energy which is the maximum(minimum) value of 𝒫-energy for some families of graphs. Further, we derive explicit formulas for E𝒫 (G) of few classes of graphs with different vertex partitions.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/ausi-2020-0009

Reference15 articles.

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