2024/04/22 by Rémi Cocou Avohou, Avohou, Remi Cocou
Computer Science · Mathematics · #05C10 #57M15 #Advanced Graph Theory Research #Combinatorics (math.CO) #Commutative Algebra and Its Applications #Complexity and Algorithms in Graphs #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2404.13839
openalex publication_date 2024/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Gross, Mansour, and Tucker introduced the partial-duality polynomial of a ribbon graph [Distributions, European J. Combin. 86, 1--20, 2020], the generating function enumerating partial duals by the Euler genus. Chmutov and Vignes-Tourneret wondered if this polynomial and its conjectured properties would hold for general delta-matroids, which are combinatorial abstractions of ribbon graphs. Yan and Jin contributed to this inquiry by identifying a subset of delta-matroids-specifically, even normal binary ones-whose twist polynomials are characterized by a singular term. Building upon this foundation, the current paper expands the scope of the investigation to encompass even non-binary delta-matroids, revealing that none of them have width-changing twists.