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Journal of Ultra Scientist of Physical Sciences - A
Voulume: 32
Issue: 1
Article No. 1
Disjoint total Restrained Dominating sets in Graphs
V. R. KULLI
Department of Mathematics, Gulbarga University, Gulbarga - 585 106 (India)
B. CHALUVARAJU
Department of Mathematics, Bangalore University, Jnanabharathi Campus Bangalore -560 056 (India)
M. KUMARA
Department of Mathematics, Bangalore University, Jnanabharathi Campus Bangalore -560 056 (India)
Abstract :

The disjoint total restrained domination number of a graph G is the minimum cardinality of the union of two disjoint total restrained dominating sets in G. We also consider an invariant the minimum cardinality of the disjoint union of a restrained dominating set and a total restrained dominating set. In this paper, we initiate a study of these parameters and establish some results on these new parameters.

Keyword : Inverse domination set, restrained dominating set, total restrained dominating set
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