Abstract

Energy and Spectrum of an Undirected Graph ๐‘ฎ๐’Ž,๐’

M. Venkata Anusha1, M. Siva Parvathi*2 and S. Uma Maheswari3

1,2Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati, Andhra Pradesh, INDIA. 3Department of Mathematics, J.M.J. College for Women, Tenali, Andhra Pradesh, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/1129

ABSTRACT

In this paper the notation of Gm,n be a basic simple undirected graph with vertex set V=In={1,2,3,ยทยทยท ,n} and u,vโˆˆV are adjacent if and only if uโ‰ v and u+v is not divisible by m, where mโˆˆN and m>1. We have determined the energies and spectrum of the graph Gm,n. AMS Subject Classification: 05C50, 05C35.

Keywords :Energy of a graph, Spectrum of a graph, Matrix energy of a graph.

map1 map2 map3