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arXiv · 2411.10816

Helly Number, Radon Number and Rank in $Δ$-Convexity on Graphs

Bijo S Anand·Arun Anil·Manoj Changat·Revathy S. Nair·Prasanth G. Narasimha-Shenoi
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Abstract

This article discusses $Δ$-convexity on simple connected graphs. We establish general bounds for the Helly number, Radon number, and rank with respect to $Δ$-convexity on graphs. Additionally, we give the exact values for the Helly number and Radon number for chordal graphs, as well as the rank for block graphs.

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Bijo S Anand, Arun Anil, Manoj Changat, Revathy S. Nair, Prasanth G. Narasimha-Shenoi. 2024-11-16. Helly Number, Radon Number and Rank in $Δ$-Convexity on Graphs. https://arxiv.org/abs/2411.10816

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