IJPAM: Volume 85, No. 4 (2013)
1,2,3Post 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 Professor Chandrashekar Adiga et al [#!adiga!#] defined the minimum covering energy, EC(G) of a graph which depends on its particular minimum cover C. Motivated by this, we introduced minimum dominating energy of a graph ED(G) and computed minimum dominating energies of a star graph, complete graph, crown graph and cocktail graphs. Upper and lower bounds for ED(G) are established.
Received: January 25, 2013
AMS Subject Classification: 05C50, 05C69
Key Words and Phrases: minimum dominating set, minimum dominating matrix, minimum dominating eigenvalues, minimum dominating energy of a graph
Download paper from here.
DOI: 10.12732/ijpam.v85i4.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395