On planar domination in graphs

Let G be a finite, undirected, simple graph with no isolated vertices. A new model of graph domination is introduced in this paper, and named “planar domination”. The properties of planar domination number are determined. Also, the relation between the domination number and planer domination number is discussed. the size of graph having planar domination number is calculated.

Authors

Publication Details

Journal
Journal of Discrete Mathematical Sciences and Cryptography
Published
2025-01-01
DOI
https://doi.org/10.47974/jdmsc-2274
Citations
1
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
1.50
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On planar domination in graphs

Manal N. Al-Harere, Emad Bakr Al-Zangana, Doha Adel Abbass
1 citations
Journal of Discrete Mathematical Sciences and Cryptography
Advanced Graph Theory Research
1.50
article

On planar domination in graphs

Manal N. Al-Harere, Emad Bakr Al-Zangana, Doha Adel Abbass
article en
1 citations

Abstract

Let G be a finite, undirected, simple graph with no isolated vertices. A new model of graph domination is introduced in this paper, and named “planar domination”. The properties of planar domination number are determined. Also, the relation between the domination number and planer domination number is discussed. the size of graph having planar domination number is calculated.

Journal of Discrete Mathematical Sciences and CryptographyVol. 28(4-B)
Openalex Percentile: Top 16%
Advanced Graph Theory Research
1.50
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.

On planar domination in graphs — Manal N. Al-Harere, Emad Bakr Al-Zangana, et al. · Journal of Discrete Mathematical Sciences and Cryptography (2025) | TGRS Research Map | TGRS