51 citations · 125 across the 28 of their papers we have counts for
7 papers · 1 filter
Associativity conditions for linear quasigroups and equivalence relations on binary trees
Erkko Lehtonen, Tamás Waldhauser
We characterise the bracketing identities satisfied by linear quasigroups with the help of certain equivalence relations on binary trees that are based on the left and right depths…
Associative spectra of graph algebras II. Satisfaction of bracketing identities, spectrum dichotomy
Erkko Lehtonen, Tamás Waldhauser
A necessary and sufficient condition is presented for a graph algebra to satisfy a bracketing identity. The associative spectrum of an arbitrary graph algebra is shown to be either…
Associative spectra of graph algebras I. Foundations, undirected graphs, antiassociative graphs
Erkko Lehtonen, Tamás Waldhauser
Associative spectra of graph algebras are examined with the help of homomorphisms of DFS trees. Undirected graphs are classified according to the associative spectra of their graph…
A general framework for island systems
Stephan Foldes, Eszter K. Horváth, Sándor Radeleczki +1
The notion of an island defined on a rectangular board is an elementary combinatorial concept that occurred first in [G. Czédli, The number of rectangular islands by means of distr…
Proofs of some binomial identities using the method of last squares
Mark Shattuck, Tamás Waldhauser
We give combinatorial proofs for some identities involving binomial sums that have no closed form.
Additive decomposability of functions over abelian groups
Miguel Couceiro, Erkko Lehtonen, Tamás Waldhauser
Abelian groups are classified by the existence of certain additive decompositions of group-valued functions of several variables with arity gap 2.