Advances and Applications in Discrete Mathematics
Volume 32, , Pages 43 - 53
(July 2022) http://dx.doi.org/10.17654/0974165822031 |
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ECCENTRIC DOMINATION IN COMPLEMENTARY PRISMS
M. Bhanumathi and R. Meenal Abirami
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Abstract: Let be a simple, finite and undirected connected graph. A set is said to be a dominating set in a graph G if every vertex in is adjacent to some vertex in S and the domination number of G is defined to be the minimum cardinality of a dominating set in G. A dominating set D is said to be an eccentric dominating set if for every there exists at least one eccentric vertex of v in D. In this paper, we study the eccentricity properties of complementary prisms and eccentric domination in complementary prisms.
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Keywords and phrases: eccentricity, eccentric domination, complementary prisms |
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