Welcome to the resource topic for 2022/1489
Title:
New results on algebraic graphs of large girth and their impact on Extremal Graph Theory and Algebraic Cryptography
Authors: Vasyl Ustimenko
Abstract:For arbitrary finite field F_q, q > 2 we prove that known qregular bipartite algebraic graphs A(n; q) existence on 2q^n vertices have
girth 2n or 2n + 2. Similar result is formulated for more general graphs
A(n; K) defined over general commutative integrity ring K. The impact
of these results on Extremal Graph Theory and graph based Algebraic
Cryptography is discussed.
ePrint: https://eprint.iacr.org/2022/1489
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