Certain variants of domatic partitions of n-inordinate invariant intersection graphs

A class of algebraic intersection graphs, called the [Formula: see text]-inordinate invariant intersection graphs, are introduced in the literature and several properties of these graphs are being investigated. Domination in graphs is an important structural property and partitioning the vertex set of a graph into dominating sets is called the domatic partition of a graph. In this paper, we analyze the structure of the [Formula: see text]-inordinate invariant intersection graphs by investigating certain variants of domatic partitions of these graphs, that are defined based on different types of domination in graphs.

Authors

Institutions

Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-06-12
DOI
https://doi.org/10.1142/s1793557125400169
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

Certain variants of domatic partitions of n-inordinate invariant intersection graphs

S. Madhumitha, Sudev Naduvath
Asian-European Journal of Mathematics
Advanced Graph Theory Research
article

Certain variants of domatic partitions of n-inordinate invariant intersection graphs

S. Madhumitha, Sudev Naduvath
article en

Abstract

A class of algebraic intersection graphs, called the [Formula: see text]-inordinate invariant intersection graphs, are introduced in the literature and several properties of these graphs are being investigated. Domination in graphs is an important structural property and partitioning the vertex set of a graph into dominating sets is called the domatic partition of a graph. In this paper, we analyze the structure of the [Formula: see text]-inordinate invariant intersection graphs by investigating certain variants of domatic partitions of these graphs, that are defined based on different types of domination in graphs.

Asian-European Journal of MathematicsVol. 19(02)
Christ University (IN)
Reduced inequalities
Openalex Percentile: Top 85%
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.