Weak signed Roman k-domination in digraphs

Let \(k\geq 1\) be an integer, and let \(D\) be a finite and simple digraph with vertex set \(V(D)\). A weak signed Roman \(k\)-dominating function (WSRkDF) on a digraph \(D\) is a function \(f \colon V(D)\rightarrow \{-1,1,2\}\) satisfying the condition that \(\sum_{x \in N^-[v]}f(x)\geq k\) for ea...

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Bibliographic Details
Main Author: Lutz Volkmann
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2024-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol44/2/art/opuscula_math_4414.pdf