Title

A STUDY ON MOLECULAR GRAPHS

Authors

R.B. Gnana Jothi, A. Balameena, S. Bharadha Devi
Department of Mathematics
V.V.V. College for Women
Virudhunagar, INDIA

Abstract

Frame's method is an alternative method suggested for determining characteristic polynomial of graphs. This paper aims to use this method for some molecular graphs. An algorithm for Frame's method is given and it is verified that this algorithm is effective upto 26 vertices. Eigenvalues of propane, butane, pentane, hexane and octane are calculated.

History

Received: December 31, 2016
Revised: January 30, 2017
Published: March 30, 2017

AMS Classification, Key Words

AMS Subject Classification: 05C90
Key Words and Phrases: characteristic polynomial, molecular graph, energy, eigenvalue

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Bibliography

1

K. Balasubramanian, The use of Frame's Method for the Characteristic Polynomials of Chemical Graph, Department of Chemistry, Arizona State University, Tempe, AZ 85287, USA.

2

Laszlo Lovasz, Eigenvalues of graphs, Eotvos Lorand University, Budapest Hungarian, Academy of science, November 2007.

How to Cite?

DOI: 10.12732/ijpam.v112i5.15 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 5
Pages: 131 - 138

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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