Year: 2026
Type: preprint
Abstract: Lovász and Szegedy asked whether a nonconstant continuous, or even smooth, finitely forcible kernel exists. For every $0<λ\leq1/128$, we construct an explicit nonconstant real-analytic kernel $W_λ$ taking values in $(1/4,7/8)$. A single finite family of simple graphs, independent of $λ$, forces every $W_λ$ among all bounded symmetric real-valued kernels on $[0,1]^2$.
Source: arXiv (Cornell University)
Author: Zhang, Junchi
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204190708
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