IJPAM: Volume 115, No. 5 (2017)

Title

MINIMUM DOM STRONG DOMINATING ENERGY
OF GRAPH

Authors

S. Meenakshi$^1$, S. Lavanya$^2$
$^1$Department of Mathematics
Vels University
Chennai, 600117, Tamil Nadu, INDIA
$^2$Department of Mathematics
Bharathi Women's College
Chennai, 600108, Tamil Nadu, INDIA

Abstract

Let $G=(n,m)$ be a simple graph. The sum of the absolute values of eigen values of its adjacency matrix is called as energy of the graph. The total $\pi$-electron energy of conjugated hydro carbon molecules is closely connected with this graph energy. In recent time, various energies are defined with graph matrices. In this paper, new energy Dom strong dominating energy of graph is defined. Dom strong dominating energy is computed for some standard graph.

History

Received: April 29, 2017
Revised: May 23, 2017
Published: July 16, 2017

AMS Classification, Key Words

AMS Subject Classification:
Key Words and Phrases: adjacency matrix, dominating set, dom strong dominating set

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v115i5.5 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: 115
Issue: 5
Pages: 1039 - 1047


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