International Advanced Research Journal in             Science, Engineering and Technology

A monthly peer-reviewed Online and Print journal

ISSN Online 2393-8021
ISSN Print 2394-1588

Since  2014

Abstract: Let G be a graph. The eigen values of G are the eigen values obtained from the adjacency matrix of G. The energy of a graph G denoted by E(G), is the sum of absolute values of its eigen values. One of the questions that arises here is, Is it possible to find the energy of graph by graph transformation? This paper answers this question. Here a category of graph called complete graph is taken and is operated to obtain transformation graph . It has been proved that the spectrum and energy of this transformation graph is -1  with multiplicity (n+2)(n-1)/2 and (n+2)(n-1)/2  and its energy is (n+2)(n-1).

Keywords: Energy, complete graph, transformation graph, Kn++-


PDF | DOI: 10.17148/IARJSET.2018.5108