Some results of inclusion graph of a topology

被引：1

作者：

Muneshwar, R. A. ^{[1
]}

Bondar, K. L. ^{[2
]}

机构：

[1] NES Sci Coll, PG Dept Math, Nanded 431602, Maharashtra, India

[2] Govt Vidarbha Inst Sci & Humanities, PG Dept Math, Amravati 444604, Maharashtra, India

来源：

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2022年 / 25卷 / 01期

关键词：

Topology; Graph; Dimeter; Girth; Clique number; Domination number; Independance number;

D O I：

10.1080/09720529.2021.1969752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a graph topological structure called Inclusion Graph of a Topology I-N(X) = (V(tau), E(tau)). The diameter, girth, connectivity, maximal independent sets, different variants of domination number and chromatic number I-N(X), edge and vertex connectivity of I-N(X) are studied. Moreover, we derive the upper and lower bonds of clique number and a chromatic number of the graph I-N(X).

引用

页码：135 / 145

页数：11

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