Open Access
Research Article
SOME RESULTS ON THE OPEN SUBSET INCLUSION GRAPH OF A PRODUCT TOPOLOGICAL SPACE
*R.A. MUNESHWARCorresponding authorMUNESHWARRAJESH10@GMAIL.COMP.G. DEPARTMENT OF MATHEMATICS, N.E.S. SCIENCE COLLEGE, NANDED-431602, MAHARASHTRA, INDIANanded, Maharashtra, 131602, IndiaView full profile → , K.L. BONDARKLBONDAR−75@REDIFFMAIL.COMP. G. DEPARTMENT OF MATHEMATICS, GOVERNMENT VIDARBHA INSTITUTE OF SCIENCE AND HUMANITIES, AMRAVATI, MAHARASHTRA, INDIAView full profile →
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- 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
Subject Classifications
05C6905C2505C1205C07
References
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