Selection of an Optimal Warehouses Using Global Regular Domination in Graphs

Let G = ( V , E ) be a simple graph. A subset S of V ( G ) is said to be global dominating set if S is a dominating set of the given graph G and its complement G . A subset whose induced subgraph is regular in G is also regular in G . A dominating set D of V ( G ) is called a regular dominating set if hSi is regular. In this article, we introduce global regular domination which is a natural extension of the global domination.

Authors

Institutions

Publication Details

Journal
International Journal of Mathematics and Mathematical Sciences
Published
2025-01-01
DOI
https://doi.org/10.1155/ijmm/2174609
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

Selection of an Optimal Warehouses Using Global Regular Domination in Graphs

V. Swaminathan, Marayanagaraj Shanmugapriya, R. Sundareswaran, Hanan Ahmed et al.
International Journal of Mathematics and Mathematical Sciences
Advanced Graph Theory Research
article

Selection of an Optimal Warehouses Using Global Regular Domination in Graphs

V. Swaminathan, Marayanagaraj Shanmugapriya, R. Sundareswaran, Hanan Ahmed, N. Venkataraman, Ammar Alsinai
article en

Abstract

Let G = ( V , E ) be a simple graph. A subset S of V ( G ) is said to be global dominating set if S is a dominating set of the given graph G and its complement G . A subset whose induced subgraph is regular in G is also regular in G . A dominating set D of V ( G ) is called a regular dominating set if hSi is regular. In this article, we introduce global regular domination which is a natural extension of the global domination.

International Journal of Mathematics and Mathematical SciencesVol. 2025(1)
University of Mysore (IN), Ramakrishna Mission Vidyamandira (IN), ASA College (US), Goverment Siddha Medical College (IN), Ibb University (YE), Sri Sivasubramaniya Nadar College of Engineering (IN)
Openalex Percentile: Top 93%
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.