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20132026
most citedEdge-maximality of power graphs of finite cyclic groups

40 citations · 43 across the 6 of their papers we have counts for

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math.CO2026

Generalizations of nets and Latin squares

Brian Curtin

We examine combinatorial structures that generalize -nets, orthogonal arrays, and mutually orthogonal Latin squares. By a reticulation we mean a point set and two collection…

cs.FL2026

Combinatorial structures connecting Latin squares and bireversible automata

Brian Curtin, Dmytro Savchuk

This paper explores the theory of letter transducers, Mealy automata, and bireversible automata from a combinatorial perspective analogous to the theory of Latin squares. We view t…