Restrained Semitotal Domination in Various Graph Structures

Restrained domination involves a vertex partitioning and considers the parameter domination on graph. Recently, another parameter called semitotal domination was introduced which strengthens domination while relaxing total and weakly connected domination constraints. In this paper, we studied a new parameter of domination a combination of the aforementioned domination parameters called the restrained semitotal domination of graphs. Also, we have discussed some characterization type results with respect to certain family of graphs and graph operations.

Authors

Institutions

Publication Details

Journal
Asian Research Journal of Mathematics
Published
2025-08-19
DOI
https://doi.org/10.9734/arjom/2025/v21i9983
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Restrained Semitotal Domination in Various Graph Structures

A. Torres, María José Cilleruelo Ortega
Asian Research Journal of Mathematics
Advanced Graph Theory Research
article

Restrained Semitotal Domination in Various Graph Structures

A. Torres, María José Cilleruelo Ortega
article en

Abstract

Restrained domination involves a vertex partitioning and considers the parameter domination on graph. Recently, another parameter called semitotal domination was introduced which strengthens domination while relaxing total and weakly connected domination constraints. In this paper, we studied a new parameter of domination a combination of the aforementioned domination parameters called the restrained semitotal domination of graphs. Also, we have discussed some characterization type results with respect to certain family of graphs and graph operations.

Asian Research Journal of MathematicsVol. 21(9)
Central Mindanao University (PH)
Openalex Percentile: Top 77%
Advanced Graph Theory Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.