Monitoring Edge-Geodetic Numbers of Mycielskian Graph Classes-Reference-Cited by-同舟云学术

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Monitoring Edge-Geodetic Numbers of Mycielskian Graph Classes

Published:2024-05-23 Issue: Volume: Page:
ISSN:0219-2659
Container-title:Journal of Interconnection Networks
language:en
Short-container-title:J. Inter. Net.

Author:

Li Xin¹^ORCID,Li Wen²³^ORCID,Tan Ao¹^ORCID,He Mengmeng³^ORCID,Chen Weizhen¹^ORCID

Affiliation:

1. School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China

2. School of Mathematics and Statistics, Qinghai Minzu University, Xining, Qinghai 810007, P. R. China

3. School of Computer, Qinghai Normal University, Xining, Qinghai 810008, P. R. China

Abstract

Let [Formula: see text] be a graph and [Formula: see text] be the vertex set of [Formula: see text]. If any edge appears in the unique shortest path of at least one vertex pair in set [Formula: see text], then [Formula: see text] is defined as the monitoring edge-geodetic set (MEG-set for short). We denote by [Formula: see text] the size of a smallest MEG-set of [Formula: see text]. In this paper, we studied the monitoring edge-geodetic numbers of Mycielski graph classes.

Funder

National Science Foundation of China

Qinghai Key Laboratory of Internet of Things Project

Science & Technology development Fund of Tianjin Education Com-mission for Higher Education, China

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219265924500105

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