Applying some dominating parameters on certain topological graphs

The idea of construct a graph from special topological space is a new approach in graph theory. In this paper, general domination numbers and dominating sets are evaluated for the special topological graph that constructed from the discrete topological space. Also, the dominating set of corona and join operations between two topological graphs are given. The inverse dominating set and inverse domination number are studied for . Then, the inverse dominating set of join and corona operations between two topological graphs are introduced. All results are applied in several topological graphs.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-07-13
DOI
https://doi.org/10.5269/bspm.76440
Citations
1
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
4.09
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article

Applying some dominating parameters on certain topological graphs

Mohammed Ayad Alkhafaji, Alyaa A. Alwan, Hassan Kamil Jassim, Mohammed A. Abdlhusein et al.
1 citations
Boletim da Sociedade Paranaense de Matemática
Graph theory and applications
4.09
article

Applying some dominating parameters on certain topological graphs

Mohammed Ayad Alkhafaji, Alyaa A. Alwan, Hassan Kamil Jassim, Mohammed A. Abdlhusein, Zainab Naeem Jwair
article en
1 citations

Abstract

The idea of construct a graph from special topological space is a new approach in graph theory. In this paper, general domination numbers and dominating sets are evaluated for the special topological graph that constructed from the discrete topological space. Also, the dominating set of corona and join operations between two topological graphs are given. The inverse dominating set and inverse domination number are studied for . Then, the inverse dominating set of join and corona operations between two topological graphs are introduced. All results are applied in several topological graphs.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Thi Qar University (IQ)
Openalex Percentile: Top 7%
Graph theory and applications
4.09
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