Advances and Applications in Discrete Mathematics
Volume 29, Issue 1, Pages 31 - 44
(January 2022) http://dx.doi.org/10.17654/0974165822004 |
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INVERSE MINUS DOMINATION IN GRAPHS
Wilma Laveena D’Souza and V. Chaitra
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Abstract: A minus dominating function on a graph is a labelling such that for all The sum of all labellings of f is the weight of f denoted by If f is a minus dominating function on G with minimum weight, then its inverse minus dominating function is a minus dominating function on G such that where The minimum weight of such a function is the inverse minus domination number of G denoted by In this paper, we initiate this new type of domination, obtain some properties and characterize the graphs attaining bounds.
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Keywords and phrases: domination, minus domination, inverse domination, inverse minus domination |
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