Geodesic
An integer sequence motivated by generalized quadrangles
Journal of integer sequences, Tome 18 (2015) no. 7.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we prove a closed form for a sequence motivated by the search for new generalized quadrangles of odd order. We present two proofs: a direct proof to explain the closed form's derivation and a shorter inductive argument. The sequence in question is derived from congruences that arise from applying the Hermite-Dickson criterion to a permutation polynomial that is related to the girth of monomial graphs.
Classification : 12E99, 51E12
Keywords: permutation polynomial, monomial graph, generalized quadrangle, girth, cycle 
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     author = {Kronenthal, Brian G.},
     title = {An integer sequence motivated by generalized quadrangles},
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     number = {7},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_7_a5/}
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Kronenthal, Brian G. An integer sequence motivated by generalized quadrangles. Journal of integer sequences, Tome 18 (2015) no. 7. http://geodesic.mathdoc.fr/item/JIS_2015__18_7_a5/