<p>We assign a new polynomial to any vertex-signed checkerboard-colorable 4-valent virtual graph in terms of its Euler circuit expansion. This provides a new combinatorial formulation of the Jones-Kauffman polynomial for checkerboard-colorable virtual links.</p>

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A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs

  • Hamid Abchir,
  • Khaled Qazaqzeh,
  • Mohammed Sabak

摘要

We assign a new polynomial to any vertex-signed checkerboard-colorable 4-valent virtual graph in terms of its Euler circuit expansion. This provides a new combinatorial formulation of the Jones-Kauffman polynomial for checkerboard-colorable virtual links.