On Neighbourhood Based T 0 , T 1 & T 2 Separation Axioms In Graphs - Archive ouverte HAL
Article Dans Une Revue Discrete Mathematics and Theoretical Computer Science Année : 2024

On Neighbourhood Based T 0 , T 1 & T 2 Separation Axioms In Graphs

Résumé

This paper explores neighborhood-based T 0 , T 1 & T 2 separation axioms in graph theory.

These separation axioms classify graphs based on their structural properties concerning vertex neighborhoods. We examine theoretical concepts, provide proofs for various types of graphs and explore the implications of these axioms. The findings contribute to understanding graph connectivity and separation, with potential applications in materials science and network design.

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Dates et versions

hal-04808106 , version 1 (28-11-2024)

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  • HAL Id : hal-04808106 , version 1

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Santhoshkumar Cg, Dr K Thomas Bindhu. On Neighbourhood Based T 0 , T 1 & T 2 Separation Axioms In Graphs. Discrete Mathematics and Theoretical Computer Science, In press. ⟨hal-04808106⟩

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