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arXiv · 2610.03350

Endomorphisms of Total Kneser Graphs

Esmaeil Alhaj Mostafa Abdan·Jacob Russell·Sophia Ulvestad
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Abstract

Inspired by work of Gaster, Greene, and Vlamis on the chromatic number of curve graphs, we prove that every endomorphism of the total Kneser graph is an automorphism. We also show that the automorphism group of the total Kneser graph is the product of a pair of permutation groups.

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Esmaeil Alhaj Mostafa Abdan, Jacob Russell, Sophia Ulvestad. 2026-10-02. Endomorphisms of Total Kneser Graphs. https://arxiv.org/abs/2610.03350

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