Indonesian Journal of Combinatorics
Vol 7, No 1 (2023)

On graphs associated to topological spaces

Haval Mohammed Salih (Soran University)

Article Info

Publish Date
30 Jun 2023

Abstract

Let ???? be a set and (????,????) be a topological space. A new type of graph on ????(????), namely the closure graph of ???? is introduced. The closure graph denoted by Γc whose vertex set is ????(????) in which two distinct vertices ???? and ???? are adjacent if A'∩B' ⊆ (A∩B)'. In this paper, the closure graph is shown as a simple, connected graph with diameter at most two. Furthermore, the girth of the closure graph Γcof ???? is three if ???? contains more than one point. Also, several graph properties are studied.

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Journal Info
Indonesian Journal of Combinatorics
Website

Abbrev

ijc

Publisher

Indonesian Combinatorial Society

Subject

Computer Science & IT Decision Sciences, Operations Research & Management

Description

Indonesian Journal of Combinatorics (IJC) publishes current research articles in any area of combinatorics and graph theory such as graph labelings, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. IJC is published by the Indonesian ...