1403/01/10
دوستعلی مژده

دوستعلی مژده

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 011-35302448

مشخصات پژوهش

عنوان
DOMINATION NUMBER IN UNIT DISK GRAPH: VIA S- CLIQUE APPROACH
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Unit disk graph, domination number, s-clique
سال
2016
مجله Asian Journal of Mathematics and Computer Research
شناسه DOI
پژوهشگران Doost Ali Mojdeh ، Mehdi Ramezani ، Mojtaba Ghanbari

چکیده

Let G = (V,E) be a graph with vertex set V = V (G) and edge set E = E(G). For a positive integer s, a subset of vertices K is called an s-clique if for any u, v ∈ K we have d(u, v) ≤ s. Namely, an s-clique is a subset of nodes with pairwise distance at most s in the graph. A subset S ⊆ V of vertices in a graph is called a dominating set if every vertex is either in the subset S or adjacent to a vertex S. The size of the minimum dominating set in a graph G is called the domination number, denoted by γ(G). This study is concentrated on distance based clique relaxations in unit disk graphs arising in wireless networking applications. Although, computing the minimum dominating set is NP-hard even in unit disk graphs; but as a simple approach, the domination number of unit disk graph is approximated by s-cliques.