A new construction of regular and quasi-regular self-complementary graphs

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Kamble Lata; Deshpande Charusheela; Athawale Bhagyshree

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Journal Paper

Paper Information

Journal: COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION Year:2025 | Volume:10 | Issue:3 Page(s): 595-599

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Information Journal Paper

Title

A new construction of regular and quasi-regular self-complementary graphs

Author(s)

Kamble Lata | Deshpande Charusheela | Athawale Bhagyshree | Issue Writer Certificate

Keywords

self-complementary graph

regular graph

quasi-regular graph

Abstract

A graph $G$ with a vertex set $V$ and an edge set $E$ is called regular if the degree of every vertex is the same. A quasi-regular graph is a graph whose vertices have one of two degrees $r$ and $r-1$, for some positive integer $r$. A graph $G$ is said to be self-complementary if $G$ is isomorphic to it's complement $\overline{G}$. In this paper we give a new method for construction of regular and quasi-regular self-complementary graph.

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