The t-Graphs Over Finitely-Generated Groups and the Minkowski Metric
G. Diaz-Porto, I. S. Gutierrez, and A. Torres-Grandisson

TL;DR
This paper introduces t-graphs on finitely-generated groups, explores their properties especially in 2-generator groups, and examines connectedness conditions with a focus on finite dihedral groups.
Contribution
It is the first to define and analyze t-graphs on finitely-generated groups, providing new insights into their structure and connectedness properties.
Findings
Necessary conditions for t-graph connectedness established
Properties of t-graphs on finite dihedral groups analyzed
Insights into the structure of t-graphs on 2-generator groups
Abstract
In this paper, we introduce the t-graphs defined on finitely-generate groups. We study some general aspects of the t-graphs on 2-generator groups, emphasising establishing necessary conditions for their connectedness. In particular, we investigate the properties of t-graphs defined on finite dihedral groups.
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
TopicsComputational Geometry and Mesh Generation · Geometric and Algebraic Topology · Advanced Graph Theory Research
