Continuity of Functions on Bare Representation of Graphs under Star Topology
Combinatorics
2025-07-21 v1
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.
Cite
@article{arxiv.2507.13968,
title = {Continuity of Functions on Bare Representation of Graphs under Star Topology},
author = {Rodolfo E. Maza},
journal= {arXiv preprint arXiv:2507.13968},
year = {2025}
}