ALGORITHMIC APPROACH FOR DOMINATION NUMBER OF UNICYCLIC GRAPHS
Journal Title: International Journal of Computer Engineering & Technology (IJCET) - Year 2019, Vol 10, Issue 2
Abstract
Let 𝐺(𝑉, 𝐸) be a unicyclic graph. A unicyclic graph is a connected graph that contains exactly one cycle. A dominating set of a graph G = (V, E) is a subset D of V, such that every vertex which is not in D is adjacent to at least one member of D. The domination number is the number of vertices in a smallest dominating set for G. In this paper I have presented an algorithmic approach to compute the domination number and the minimum domination set for the unicyclic graph. The algorithm has polynomial time complexity of 𝑂(𝑛).
Authors and Affiliations
S. V. SHINDHE
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