The excluded minors of the class of spike minors
Sam Bastida, Nick Brettell, Rutger Campbell, George Drummond, Emma Hogan, Charles Semple, Gerry Toft
TL;DR
This paper proves that the class of spikes and their minors has a finite set of excluded minors, resolving a problem posed by Mayhew et al. in 2021.
Contribution
It establishes the finiteness of the excluded minors for the class of spikes and their minors, providing a complete characterization.
Findings
Finite set of excluded minors for the class of spikes proved
Complete description of all excluded minors provided
Addresses a previously open problem from 2021
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.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Mathematical Analysis and Transform Methods · Holomorphic and Operator Theory