A note on the Roman domatic number of a digraph

A {\em Roman dominating function} on a digraph $D$ with vertex set $V(D)$ is a labeling $f\colon V(D)\to \{0, 1, 2\}$ such that every vertex with label $0$ has an in-neighbor with label $2$. A set $\{f_1,f_2,\ldots,f_d\}$ of Roman dominating functions on $D$ with the property that $\sum_{i=1}^d f...

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Bibliographic Details
Main Authors: Lutz Volkmann, D. Meierling
Format: Article
Language:English
Published: Azarbaijan Shahide Madani University 2020-06-01
Series:Communications in Combinatorics and Optimization
Subjects:
Online Access:http://comb-opt.azaruniv.ac.ir/article_13884_bf374c8fd79d776bfc11bd95660ff3b1.pdf