4 citations · 5 across the 15 of their papers we have counts for
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Thin divisible designs graphs: an interplay between fixed-point free involutions of -graphs and symmetric weighing matrices
Sergey Goryainov, Willem H. Haemers, Elena V. Konstantinova +1
In this paper, we illustrate important aspects of the interplay between weighing matrices, -graphs with fixed-point free involutions, and signed graphs with an orthogonal…
The spectral Turán problem: Characterizing spectral-consistent graphs
Longfei Fang, Sergey Goryainov, Denis Krotov +2
Let and denote the families of -free graphs of order with maximum size and maximum spectral radius, respectively. A graph is called spe…
Divisible design graphs with selfloops
Anwita Bhowmik, Bart De Bruyn, Sergey Goryainov
We develop a basic theory for divisible design graphs with possible selfloops (LDDG's), and describe two infinite families of such graphs, some members of which are also classical…
Cliques in Paley graphs of square order and in Peisert graphs
Andries E. Brouwer, Sergey Goryainov, Leonid Shalaginov +1
We study maximal cliques in the collinearity graphs of Desarguesian nets, give some structural results and some numerical information. In particular, we show for Desarguesian nets…