2 citations · 4 across the 4 of their papers we have counts for
5 papers
On graphs with unique geoodesics and antipodes
Dmitriy Gorovoy, David Zmiaikou
In 1962, Oystein Ore asked in which graphs there is exactly one geodesic between any two vertices. He called such graphs geodetic. In this paper, we systematically study properties…
All even permutations with large support are commutators of generating pairs
David Zmiaikou
We establish that any even permutation from A_n moving at least [3n/4] + o(n) points is the commutator of a generating pair of A_n and a generating pair of S_n. From this we deduce…
Homology of origamis with symmetries
Carlos Matheus, Jean-Christophe Yoccoz, David Zmiaikou
Given an origami (square-tiled surface) M with automorphism group G, we compute the decomposition of the first homology group of M into isotypic G-submodules. Through the action of…
The probability of generating the symmetric group with a commutator condition
David Zmiaikou
Let B(n) be the set of pairs of permutations from the symmetric group of degree n with a 3-cycle commutator, and let A(n) be the set of those pairs which generate the symmetric or…
On a conjecture of H. Gupta
Emmanuel Lecouturier, David Zmiaikou
Denote by r(n) the length of a shortest integer sequence on a circle containing all permutations of the set {1,2,...,n} as subsequences. Hansraj Gupta conjectured in 1981 that r(n)…