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arXiv · 2507.13968

Continuity of Functions on Bare Representation of Graphs under Star Topology

Rodolfo E. Maza
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Abstract

This paper introduces a novel topology, referred to as the star topology, on finite graphs. By treating vertices and edges as points in a unified space, we explore continuous maps between Bare representations of a graph and their properties. The key distinction lies in the fact that while every graph homomorphism induces a continuous map, the converse is not generally true due to potential loss of adjacency information.

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Rodolfo E. Maza. 2025-07-18. Continuity of Functions on Bare Representation of Graphs under Star Topology. https://arxiv.org/abs/2507.13968

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