IJPAM: Volume 89, No. 4 (2013)
OF A GRAPH
Post Graduate Department of Mathematics
Maharani's Science College for Women
J.L.B. Road, Mysore, 570 005, INDIA
Research and Development Centre
Coimbatore, 641 046, INDIA
Abstract. Recently Prof.Chandrashekara adiga et al.  defined the minimum covering energy, of a graph which depends on its particular minimum cover . Motivated by this, we introduced minimum dominating energy  of a graph . In this paper we computed Laplacian minimum dominating energies of star graph, complete graph, crown graph and cocktail party graphs. Upper and lower bounds for are established.
Received: August 30, 2013
AMS Subject Classification: 05C50, 05C69
Key Words and Phrases: minimum dominating set, Laplacian minimum dominating matrix, Laplacian minimum dominating eigenvalues, Laplacian minimum dominating energy of a graph
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DOI: 10.12732/ijpam.v89i4.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395