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Journal of Dynamical Systems and Geometric Theories cover

Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Journal of Dynamical Systems and Geometric Theories
Open Access Research Article

SOME RESULTS ON THE OPEN SUBSET INCLUSION GRAPH OF A PRODUCT TOPOLOGICAL SPACE

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pp. 45–59Vol. 21Issue 1May 2023DOI: 10.47974/JDSGT-21-1-P11XML
Received:
13 Jun 2020
Published Online:
01 May 2023
Article type:
Research Article
Language:
EN
Article no.:
JDSGT-21-1-P11
Pages:
45–59

Abstract

In the recent paper, R. A. Muneshwar et al., introduced a graph structure, called open subset inclusion graph j(t) of (X, t) . They also discussed a basic properties such as connectedness, diameter, girth, clique number, chromatic number, domination number, etc., of an open subset inclusion graph of a topological space. In this paper, we study some important results of the graph j(Tx × Ty) of a product topological space (X × Y, t). We also determine relationship between diameter, girth, clique number, chromatic number, domination number, degree etc., of the graphs j(Tx), j(Ty) and j(Tx × Ty).

Keywords

Discrete topologyGraphDiameterClique numberGirthChromatic numberDegreeDomination number

Subject Classifications

05C6905C2505C1205C07

References

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