@article {
author = {Shahbazi, L. and Abdollahzadeh Ahangar, H. and khoeilar, Rana and Sheikholeslami, Seyed Mahmoud},
title = {Bounds on signed total double Roman domination},
journal = {Communications in Combinatorics and Optimization},
volume = {5},
number = {2},
pages = {191-206},
year = {2020},
publisher = {Azarbaijan Shahid Madani University},
issn = {2538-2128},
eissn = {2538-2136},
doi = {10.22049/cco.2020.26761.1140},
abstract = {A signed total double Roman dominating function (STDRDF) on {color{blue}an} isolated-free graph $G=(V,E)$ is afunction $f:V(G)rightarrow{-1,1,2,3}$ such that (i) every vertex $v$ with $f(v)=-1$ has at least twoneighbors assigned 2 under $f$ or one neighbor $w$ with $f(w)=3$, (ii) every vertex $v$ with $f(v)=1$ has at least one neighbor $w$ with $f(w)geq2$ and (iii)$sum_{uin N(v)}f(u)ge1$ holds for any vertex $v$.The weight of {color{blue}an} STDRDF is the value $f(V(G))=sum_{uin V(G)}f(u).$ The signed totaldouble Roman domination number $gamma^t_{sdR}(G)$ is the minimum weight of {color{blue}an}STDRDF on $G$. In this paper, we continue the study of the signed total double Romandomination in graphs and present some sharp bounds for this parameter.},
keywords = {Roman domination,signed double Roman domination,signed total double Roman domination},
url = {http://comb-opt.azaruniv.ac.ir/article_14061.html},
eprint = {http://comb-opt.azaruniv.ac.ir/article_14061_e11b84bc918c5f13db5dfa4080bc9852.pdf}
}