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Research Paper | Mathematics | India | Volume 5 Issue 11, November 2016 | Popularity: 6.3 / 10

Bounds on Inverse and Double Domination Numbers of Fuzzy Square Graphs

N. Sarala, T. Kavitha

Abstract: Let D be a minimum dominating set of a fuzzy graph G2, if V (G2) D contains another dominating set D of G2, then D is called an inverse dominating set with respect to D. The minimum cardinality of vertices in such a set is called an inverse domination number of G2and is denoted by --1 (G2). In this paper, many bounds on --1 (G2) were obtained in terms of elements of G. Also its relationship with other domination parameters was obtained

Keywords: Dominating set, Fuzzy graphs, Fuzzy square graphs, Inverse domination number of Fuzzy square graphs

Edition: Volume 5 Issue 11, November 2016

Pages: 1280 - 1283

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N. Sarala, T. Kavitha, "Bounds on Inverse and Double Domination Numbers of Fuzzy Square Graphs", International Journal of Science and Research (IJSR), Volume 5 Issue 11, November 2016, pp. 1280-1283, URL: https://www.ijsr.net/getabstract.php?paperid=ART20163076, DOI: https://www.doi.org/10.21275/ART20163076

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