23 citations · 121 across the 26 of their papers we have counts for
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The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes
Shamil Asgarli, Chi Hoi Yip
Blokhuis showed that all maximum cliques in Paley graphs of square order have a subfield structure. Recently, it has been shown that in Peisert-type graphs, all maximum cliques are…
Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields
Shamil Asgarli, Chi Hoi Yip
A well-known conjecture due to van Lint and MacWilliams states that if is a subset of such that , , and is a square for each $a,b \in…
Gauss sums and the maximum cliques in generalized Paley graphs of square order
Chi Hoi Yip
Let be the -Paley graph defined on the finite field . It is notoriously difficult to improve the trivial upper bound on the clique number of $…
On maximal cliques of Cayley graphs over fields
Chi Hoi Yip
We describe a new class of maximal cliques, with a vector space structure, of Cayley graphs defined on the additive group of a field. In particular, we show that in the cubic Paley…