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Some expressions of graph zetas and the twisted Alexander polynomials, and the knot volume
Hiroshi GODA, Takayuki MORIFUJI
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Source: Crossref
Published: Oct 23, 2026
DOI: 10.2969/jmsj/94259425
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In this paper, we consider the zeta function of graphs and the twisted Alexander polynomials of knots. Since they have been developed separately, we explain the relationship between them through the notion of knot graphs. We also provide a new volume presentation of hyperbolic knots using matrix-weighted graphs and Bell polynomials.
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