Restrained condition on double Roman dominating functions

B. Samadi, N. Soltankhah, H. Abdollahzadeh Ahangar, M. Chellali, D.A. Mojdeh, S.M. Sheikholeslami and J.C. Valenzuela-Tripodoro

Applied Mathematics and Computation, 2023, vol. 438, issue C

Abstract: We continue the study of restrained double Roman domination in graphs. For a graph G=(V(G),E(G)), a double Roman dominating function f is called a restrained double Roman dominating function (RDRD function) if the subgraph induced by {v∈V(G)∣f(v)=0} has no isolated vertices. The restrained double Roman domination number (RDRD number) γrdR(G) is the minimum weight ∑v∈V(G)f(v) taken over all RDRD functions of G.

Keywords: Restrained double Roman domination; Roman domination; NP-hard; Tree; Planar graph; Bounded clique-width graph; Restrained domination number; Domination number (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:438:y:2023:i:c:s0096300322006282

DOI: 10.1016/j.amc.2022.127554

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