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arxiv: 2606.06643 · v1 · pith:DR4KZONSnew · submitted 2026-06-04 · 🧮 math.CO · math.GT

New relations for the Penrose polynomial

classification 🧮 math.CO math.GT
keywords polynomialpenroserelationsevaluationadditionallyextendgraphintroduce
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We introduce two new relations involving the pentagon and the quadrilateral for the evaluation of the Penrose polynomial at $n=4$ that is proven using a new type of ribbon graph polynomial. Additionally, we extend several relations for the evaluation of the Penrose polynomial at $n=3$ to all $n$.

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