Geodesic
The endomorphisms of Grassmann graphs
Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 383-392.

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A graph G is a core if every endomorphism of G is an automorphism. A graph is called a pseudo-core if every its endomorphism is either an automorphism or a colouring. Suppose that Jq(n, m) is a Grassmann graph over a finite field with q elements. We show that every Grassmann graph is a pseudo-core. Moreover, J2(4, 2) is not a core and Jq(2k + 1, 2) (k ≥ 2) is a core.
DOI : 10.26493/1855-3974.780.362
Keywords: Grassmann graph, core, pseudo-core, endomorphism, maximal clique 
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Li-Ping Huang; Benjian Lv; Kaishun Wang. The endomorphisms  of Grassmann graphs. Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 383-392. doi : 10.26493/1855-3974.780.362. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.780.362/

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