The Hoffman-Singleton manifold
Daniel Pellicer, Yesenia Villica\~na Molina
TL;DR
This paper introduces the Hoffman-Singleton manifold, a new geometric structure derived from a specific subgraph of the Hoffman-Singleton graph, exploring its properties and combinatorial motivation.
Contribution
It defines and analyzes the Hoffman-Singleton manifold, connecting combinatorial graph theory with geometric concepts in a novel way.
Findings
Identifies geometric properties of the Hoffman-Singleton manifold
Provides a rigorous geometric definition based on a subgraph
Links combinatorial and geometric perspectives
Abstract
We introduce the Hoffman-Singleton manifold based on some specific subgraph of the Hoffman-Singleton graph. This manifold is motivated in a combinatorial fashion, and it is defined rigorously in geometric terms. We also present a few geometric properties of this manifold.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Mathematics and Applications · Geometric Analysis and Curvature Flows