Strong equality of Roman and perfect Roman Domination in trees

نویسندگان

چکیده

A Roman dominating function (RD-function) on a graph G = ( V , E ) is f : → {0, 1, 2} satisfying the condition that every vertex u for which 0 adjacent to at least one v 2. An in perfect (PRD-function) if with exactly The (perfect) domination number γ R p )) minimum weight of an . We say strongly equals ), denoted by ≡ γR RD-function PRD-function. In this paper we show given it NP-hard decide whether and also provide constructive characterization trees T ).

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ژورنال

عنوان ژورنال: Rairo-operations Research

سال: 2022

ISSN: ['1290-3868', '0399-0559']

DOI: https://doi.org/10.1051/ro/2022005