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<p>In this paper, we define invariants of links in terms of colorings of link diagrams and prove that these invariants coincide with various notions of widths of links with respect to the standard Morse function. Our formulations are advantageous because they are algorithmic and suitable for program implementations. As an application, we calculate the max-width of over 10000 4-bridge prime links up to 14 crossings from the link table.</p>

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Widths of links via diagram colorings

  • 期刊论文

  • 发表日期：

    2025年8月5日

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  • Ricky Lee,
  • Puttipong Pongtanapaisan,
  • Hanh Vo

摘要

In this paper, we define invariants of links in terms of colorings of link diagrams and prove that these invariants coincide with various notions of widths of links with respect to the standard Morse function. Our formulations are advantageous because they are algorithmic and suitable for program implementations. As an application, we calculate the max-width of over 10000 4-bridge prime links up to 14 crossings from the link table.