Independent Domination Number in Adaptive Mesh Refinement (AMR)-WENO Scheme Networks
N. Senthur Priya1, S. Meenakshi2
1N. Senthur Priya, Department of Mathematics, Vels Institute of Science Technology and Advanced Studies, Pallavaram, Chennai (Tamil Nadu), India.
2S. Meenakshi, Department of Mathematics, Vels Institute of Science Technology and Advanced Studies, Pallavaram, Chennai (Tamil Nadu), India.
Manuscript received on 18 January 2020 | Revised Manuscript received on 01 February 2020 | Manuscript Published on 05 February 2020 | PP: 17-19 | Volume-8 Issue-4S5 December 2019 | Retrieval Number: D10071284S519/2019©BEIESP | DOI: 10.35940/ijrte.D1007.1284S519
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Let G be the graph, consider the vertex set as V and edge set as E. If S is the subset of the vertex set V such that S contains vertices which has atleast one neighbor in V that is not in S, then S is said to be dominating set of G. If the vertex in S is not adjacent to one another, then S is called as the independent dominating set of G and so i(G) represents the independent domination number, the minimum cardinality of an independent dominating set in G. In this paper, we obtain independent domination number for triangular, quadrilateral, pentagonal, hexagonal, heptagonal and octagonal networks by Adaptive Mesh Refinement (AMR)-WENO Scheme.
Keywords: Adaptive Mesh Refinement (AMR), Domination Set, Independent Domination Number, Independent Domination Set, WENO Scheme.
Scope of the Article: Adaptive Systems