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Title: | Porous Exponential Domination in Harary Graphs |
Authors: | Aytac, A. Ciftci, C. Ordu Üniversitesi 0000-0001-5397-0367 |
Keywords: | graph theory; porous exponential domination; Harary graph |
Issue Date: | 2020 |
Publisher: | MAIK NAUKA/INTERPERIODICA/SPRINGER, 233 SPRING ST, NEW YORK, NY 10013-1578 USA |
Abstract: | A porous exponential dominating set of a graph G is a subset S such that, for every vertex v of G, n-ary sumation (u is an element of S)(1/2)(d(u, v)-1) >= l, where d(u, v) is the distance between vertices u and v. The porous exponential domination number, gamma e*(G), is the minimum cardinality of a porous exponential dominating set. In this paper, we determine porous exponential domination number of the Harary graph H-k,H-n for all k and n. |
URI: | http://doi.org/10.1134/S0001434620010228 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2207 |
Appears in Collections: | Matematik |
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