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Endomorphisms of Total Kneser Graphs

Esmaeil Alhaj Mostafa Abdan, Jacob Russell, Sophia Ulvestad

Source record

Source: arXiv

Published: Oct 2, 2026

arXiv: 2610.03350

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Source 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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