Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.13968 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916849947508736 |
|---|---|
| author | Maza, Rodolfo E. |
| author_facet | Maza, Rodolfo E. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continuity of Functions on Bare Representation of Graphs under Star Topology Maza, Rodolfo E. Combinatorics 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. |
| title | Continuity of Functions on Bare Representation of Graphs under Star Topology |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2507.13968 |