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This article discusses \(\Delta \) -convexity on simple connected graphs. We establish general bounds for the Helly number, Radon number, and rank with respect to \(\Delta \) -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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Helly Number, Radon Number and Rank in  \(\varDelta \) -Convexity on Graphs

  • 会议论文

  • 发表日期：

    2025年

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  • Bijo S. Anand,
  • Arun Anil,
  • Manoj Changat,
  • Revathy S. Nair,
  • Prasanth G. Narasimha-Shenoi

摘要

This article discusses \(\Delta \) -convexity on simple connected graphs. We establish general bounds for the Helly number, Radon number, and rank with respect to \(\Delta \) -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.