UGC Approved Journal no 63975(19)

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Volume 6 Issue 2
February-2019
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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JETIRAB06227


Registration ID:
197652

Page Number

1234-1239

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Title

ON ENERGY OF GRAPHS

Abstract

The concept of energy of graph was introduced by I. Gutman in the year 1978. Let G be a graph with n vertices and m edges and let A = (aij) be the adjacency matrix of a graph. The eigen values λ1, λ_2,…,λ_n of A assumed in non increasing order, are the eigenvalues of the graph G. As, A is real symmetric, the eigen values of G are real with sum equal to zero. The energy E(G) of G is defined to be the sum of the absolute values of the eigen values of G. i.e., E(G) = ∑_(i=1)^n▒|λ_i | . In this paper, the relation between the energies of some standard graphs are compared with their Middle, Inflated and Product graphs.

Key Words

Energy of graphs, Adjacency matrix, Eigen values

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"ON ENERGY OF GRAPHS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.1234-1239, February-2019, Available :http://www.jetir.org/papers/JETIRAB06227.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"ON ENERGY OF GRAPHS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp1234-1239, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06227.pdf

Publication Details

Published Paper ID: JETIRAB06227
Registration ID: 197652
Published In: Volume 6 | Issue 2 | Year February-2019
DOI (Digital Object Identifier):
Page No: 1234-1239
Country: -, -, - .
Area: Engineering
ISSN Number: 2349-5162
Publisher: IJ Publication


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