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Exploring the watching system of polyhedral graphs | ||
Journal of Discrete Mathematics and Its Applications | ||
دوره 9، شماره 2، شهریور 2024، صفحه 113-121 اصل مقاله (540.3 K) | ||
نوع مقاله: Full Length Article | ||
شناسه دیجیتال (DOI): 10.22061/jdma.2024.11136.1077 | ||
نویسنده | ||
Sheyda Maddah* | ||
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785-163, I. R. Iran | ||
تاریخ دریافت: 15 مرداد 1403، تاریخ بازنگری: 23 مرداد 1403، تاریخ پذیرش: 23 مرداد 1403 | ||
چکیده | ||
Watching system in a graph G is a finite set W = {w1, w2, ..., wk} where each wi is a couple wi = (vi , Zi), where vi is a vertex and Zi ⊆ NG[vi ] such that {Z1, ..., Zk} is an identifying system.The concept of watching system was first introduced by Auger in [1]. and this system provide an extension of identifying code in the sense that an identifying code is a particular watching system. In this paper, we determine the watching system of specific graphs. | ||
کلیدواژهها | ||
Watching systems؛ generelized Peteersen graph؛ identifying codes | ||
آمار تعداد مشاهده مقاله: 27 تعداد دریافت فایل اصل مقاله: 51 |