Signed total Roman $k$-domination in directed graphs

Let $D$ be a finite and simple digraph with vertex set $V(D)$‎. ‎A signed total Roman $k$-dominating function (STR$k$DF) on‎ ‎$D$ is a function $f:V(D)\rightarrow\{-1‎, ‎1‎, ‎2\}$ satisfying the conditions‎ ‎that (i) $\sum_{x\in N^{-}(v)}f(x)\ge k$ for each‎ ‎$v\in V(D)$‎, ‎where $N^{-}(v)$ cons...

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Bibliographic Details
Main Authors: N. Dehgard, L. Volkmann
Format: Article
Language:English
Published: Azarbaijan Shahide Madani University 2016-06-01
Series:Communications in Combinatorics and Optimization
Subjects:
Online Access:http://comb-opt.azaruniv.ac.ir/article_13576.html