Roman domination in direct product graphs and rooted product graphs
نویسندگان
چکیده
<abstract><p>Let $ G be a graph with vertex set V(G) $. A function f:V(G)\rightarrow \{0, 1, 2\} is Roman dominating on if every v\in for which f(v) = 0 adjacent to at least one u\in such that f(u) 2 The domination number of the minimum weight \omega(f) \sum_{x\in V(G)}f(x) among all functions f In this article we study direct product graphs and rooted graphs. Specifically, give several tight lower upper bounds involving some parameters factors, include domination, (total) packing numbers others. On other hand, prove can attain only three possible values, depend order, number, factors in product. addition, theoretical characterizations classes achieving each these values are given.</p></abstract>
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ژورنال
عنوان ژورنال: AIMS mathematics
سال: 2021
ISSN: ['2473-6988']
DOI: https://doi.org/10.3934/math.2021643