Results 41 to 50 of about 25,954 (258)

Signed total Roman domination in graphs

open access: yesJournal of Combinatorial Optimization, 2015
Published by De Gruyter Open ...
L. Volkmann
semanticscholar   +5 more sources

Solving the signed Roman domination and signed total Roman domination problems with exact and heuristic methods

open access: green, 2022
In this paper we deal with the signed Roman domination and signed total Roman domination problems. For each problem we propose two integer linear programming (ILP) formulations, the constraint programming (CP) formulation and variable neighborhood search (VNS) method.
Vladimir Filipović   +2 more
openalex   +4 more sources

Signed total double Roman dominating functions in graphs

open access: yesAKCE International Journal of Graphs and Combinatorics
A signed total double Roman dominating function (STDRDF) on an isolated-free graph [Formula: see text] is a function [Formula: see text] such that (i) every vertex v with [Formula: see text] has at least two neighbors assigned 2 under f or one neighbor w
L. Shahbazi   +2 more
doaj   +2 more sources

Bounds on the total double Roman domination number of graphs [PDF]

open access: diamondDiscussiones Mathematicae Graph Theory, 2021
Guoliang Hao   +3 more
openalex   +3 more sources

Several Roman domination graph invariants on Kneser graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2023
This paper considers the following three Roman domination graph invariants on Kneser graphs: Roman domination, total Roman domination, and signed Roman domination.
Tatjana Zec, Milana Grbić
doaj   +1 more source

On the total and strong version for Roman dominating functions in graphs [PDF]

open access: yesAequationes mathematicae, 2021
19 ...
S. Nazari-Moghaddam   +3 more
openaire   +3 more sources

Maximum Second Zagreb Index Of Trees With Given Roman Domination Number [PDF]

open access: yesTransactions on Combinatorics, 2023
Chemical study regarding total $\pi$-electron energy with respect to conjugated molecules has focused on the second Zagreb index of graphs. Moreover, in the last half-century, it has gotten a lot of attention.
Ayu Ameliatul Ahmad Jamri   +3 more
doaj   +1 more source

Total restrained Roman domination

open access: yes, 2022
Published by Azabaijan Shahid Madani University, Azarshahr ...
Amjadi, Jafar   +2 more
openaire   +2 more sources

Roman domination in direct product graphs and rooted product graphs

open access: yesAIMS Mathematics, 2021
Let $ G $ be a graph with vertex set $ V(G) $. A function $ f:V(G)\rightarrow \{0, 1, 2\} $ is a Roman dominating function on $ G $ if every vertex $ v\in V(G) $ for which $ f(v) = 0 $ is adjacent to at least one vertex $ u\in V(G) $ such that $ f(u) = 2
Abel Cabrera Martínez   +2 more
doaj   +1 more source

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