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Published Paper Details:
Paper Title
Equitable Power Edge Domination of Certain Graphs
Authors
R. BHAVANI, S. BANUPRIYA
Keywords
Equitable Power Domination, Power Edge Domination, Equitable Power Edge Domination Number
Abstract
We define G as a graph, where V denotes the collection of vertices and E represents the collection of edges. If b is the adjacent observed vertex for every vertex a such that the difference between degrees a and b is less than or equal to 1 that is|d(a)-d(b)|<=1, then the equitable power dominating set S is a subset of V in G is power dominating set. The new concept of "Equitable Power Edge Domination" is defined as follows: If an edge f1 that is not in S' is observed to be adjacent to an edge f2 such that| |d(f1)-d(f2)| <= 1 , the edge equitable dominating set S'? E in G is said to be a "Equitable Power Edge Dominating set". Equitable power edge domination number of graph represented by ?'_eped(G), represents the fewest elements of an equitable power edge domination set of graph.
IJCRT's Publication Details
Unique Identification Number - IJCRT2407188
Paper ID - 265271
Page Number(s) - b530-b532
Pubished in - Volume 12 | Issue 7 | July 2024
DOI (Digital Object Identifier) - http://doi.one/10.1729/Journal.40458
Publisher Name - IJCRT | www.ijcrt.org | ISSN : 2320-2882
E-ISSN Number - 2320-2882
Cite this article
R. BHAVANI, S. BANUPRIYA, "Equitable Power Edge Domination of Certain Graphs", International Journal of Creative Research Thoughts (IJCRT), ISSN:2320-2882, Volume.12, Issue 7, pp.b530-b532, July 2024, Available at :http://www.ijcrt.org/papers/IJCRT2407188.pdf
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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