The Italian domatic number of a digraph

An {\em Italian dominating function} on a digraph $D$ with vertex set $V(D)$ is defined as a function $f\colon V(D)\to \{0, 1, 2\}$ such that every vertex $v\in V(D)$ with $f(v)=0$ has at least two in-neighbors assigned 1 under $f$ or one in-neighbor $w$ with $f(w)=2$. A set $\{f_1,f_2,\ldots,f_d\...

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Bibliographic Details
Main Author: L.Volkmann
Format: Article
Language:English
Published: Azarbaijan Shahide Madani University 2019-06-01
Series:Communications in Combinatorics and Optimization
Subjects:
Online Access:http://comb-opt.azaruniv.ac.ir/article_13845_b207051edc37d9a82ecd605da8ed79b4.pdf