The excluded minors of the class of spike minors

2025/11/10 by Sam Bastida, Bastida, Sam, Nick Brettell +11
Mathematics · #05B35 #Combinatorics (math.CO) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2511.07570

openalex publication_date 2025/11/10 · openalex created_date 2025/11/13 · openalex updated_date 2026/07/28

Abstract

Mayhew et al. (2021) posed the problem of showing that the minor-closed class of spikes and their minors has a finite set of excluded minors and describing all of them. In this paper, we resolve this problem.

Citations

• Fractal classes of matroids

Related

• The antichain of excluded minors for the class of gammoids is maximal
• Excluded minors for the class of split matroids
• On excluded minors for classes of graphical matroids
• Forbidden minors: Finding the finite few
• The excluded minors for embeddability into a compact surface