Theta-3 is connected
Oswin Aichholzer, Sang Won Bae, Luis Barba, Prosenjit Bose, and Matias Korman, Andr\'e van Renssen, Perouz Taslakian, Sander, Verdonschot
TL;DR
This paper proves that the theta-graph with three cones is connected and offers an alternative proof for the connectivity of the Yao graph with three cones, contributing to understanding geometric graph connectivity.
Contribution
It provides a new proof of connectivity for the theta-3 graph and an alternative proof for the Yao-3 graph, enhancing theoretical understanding.
Findings
Theta-3 graph is connected
Yao-3 graph is connected
Alternative proofs provided
Abstract
In this paper, we show that the -graph with three cones is connected. We also provide an alternative proof of the connectivity of the Yao graph with three cones.
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Taxonomy
TopicsAdvanced Graph Theory Research · Interconnection Networks and Systems · Advanced Combinatorial Mathematics