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Further Results on Designs Arising from Some Certain Corona Graphs

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Title: Further Results on Designs Arising from Some Certain Corona Graphs

Authors: M.P. Sumathi, Anwar Alwardi

Journal: Journal of advances in applied & computational mathematics

HEC Recognition History
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Year: 2015

Volume: 2

Issue: 1

Language: en

DOI: 10.15377/2409-5761.2014.02.01.4

Keywords: Minimum dominating setsassociation schemesPBIBD.

Categories
Graph Theory (455) Design Theory (9) Mathematics (5170) Combinatorics (285)

Abstract

In this paper, we determine the partially balanced incomplete block designs and association scheme which are formed by the minimum dominating sets of the graphs C3°K2, and C4°K2. Finally, we determine the number of minimum dominating sets of graph G = Cn°K2 and prove that the set of all minimum dominating sets of G = Cn°K2 forms a partially balanced incomplete block design with two association scheme.

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