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2020•General Letters in MathematicsOpen access

On the coneighbor eigenvalues and coneighbor energy of a graph

Nechirvan Badal Ibrahim

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Abstract

In this paper, we define a new concept in theory of graph energy called coneighbor energy of a graph G, denoted by CE(G), as the sum of the absolute value of eigenvalues of its coneighbor matrix. We are going to derive some results about the coneighbor energy of graphs and coneighboracation graph that possess some coneighbor vertices.

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What this paper is about

In this paper, we define a new concept in theory of graph energy called coneighbor energy of a graph G, denoted by CE(G), as the sum of the absolute value of eigenvalues of its coneighbor matrix. We are going to derive some results about the coneighbor energy of graphs and coneighboracation graph that possess some coneighbor vertices.

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Available abstract

In this paper, we define a new concept in theory of graph energy called coneighbor energy of a graph G, denoted by CE(G), as the sum of the absolute value of eigenvalues of its coneighbor matrix. We are going to derive some results about the coneighbor energy of graphs and coneighboracation graph that possess some coneighbor vertices.

Key concepts: Graph energy, Eigenvalues and eigenvectors, Combinatorics, Integral graph, Spectral graph theory, Mathematics, Regular graph, Graph

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