Proper Centre of Graphs

A graph is said to be properly connected if there exists a properly edge colored path between every pair of vertices in it. The centre of a graph is a set that consists of the vertices of minimum eccentricity. In this paper, we define the proper centre in properly connected graphs. We characterise proper centre in graphs that have proper connection number 2.

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Publication Details

Journal
Acta Universitatis Sapientiae Informatica
Published
2025-11-10
DOI
https://doi.org/10.1007/s44427-025-00013-4
Primary Topic
Advanced Graph Theory Research
Type
article
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article

Proper Centre of Graphs

Tabitha Agnes Mangam, H R Deepika
Acta Universitatis Sapientiae Informatica
Advanced Graph Theory Research
article

Proper Centre of Graphs

Tabitha Agnes Mangam, H R Deepika
article en

Abstract

A graph is said to be properly connected if there exists a properly edge colored path between every pair of vertices in it. The centre of a graph is a set that consists of the vertices of minimum eccentricity. In this paper, we define the proper centre in properly connected graphs. We characterise proper centre in graphs that have proper connection number 2.

Acta Universitatis Sapientiae InformaticaVol. 17(1)
Christ University (IN)
Openalex Percentile: Top 65%
Advanced Graph Theory Research
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Proper Centre of Graphs — Tabitha Agnes Mangam, H R Deepika · Acta Universitatis Sapientiae Informatica (2025) | TGRS Research Map | TGRS