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A study on graph topology | ||
Communications in Combinatorics and Optimization | ||
مقاله 9، دوره 8، شماره 2، شهریور 2023، صفحه 397-409 اصل مقاله (372.44 K) | ||
نوع مقاله: Original paper | ||
شناسه دیجیتال (DOI): 10.22049/cco.2022.27399.1253 | ||
نویسندگان | ||
Achu Aniyan1؛ Sudev Naduvath* 2 | ||
1Department of Mathematics, Christ University, Bangalore, India. | ||
2Christ University, Bangalore, India. | ||
چکیده | ||
The concept of topology defined on a set can be extended to the field of graph theory by defining the notion of graph topologies on graphs where we consider a collection of subgraphs of a graph $G$ in such a way that this collection satisfies the three conditions stated similarly to that of the three axioms of point-set topology. This paper discusses an introduction and basic concepts to the graph topology. A subgraph of $G$ is said to be open if it is in the graph topology $\mathscr{T}_G$. The paper also introduces the concept of the closed graph and the closure of graph topology in graph topological space using the ideas of decomposition-complement and neighborhood-complement. | ||
کلیدواژهها | ||
Graph topology؛ graph topological space؛ $sT$-interior؛ $sT$-neighbourhood | ||
مراجع | ||
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[12] D.B. West, Introduction to Graph Theory, vol. 2, Prentice-Hall of India, New Delhi, 2001. | ||
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