76 citations · 138 across the 15 of their papers we have counts for
4 papers · 1 filter
Acyclicity in finite groups and groupoids
Martin Otto
We expound a concise construction of finite groups and groupoids whose Cayley graphs satisfy graded acyclicity requirements. Our acyclicity criteria concern cyclic patterns formed…
Amalgamation and Symmetry: From Local to Global Consistency in The Finite
Martin Otto
We present a generic construction of finite realisations of amalgamation patterns. An amalgamation pattern is specified by a finite collection of finite template structures togethe…
Finite Groupoids, Finite Coverings and Symmetries in Finite Structures
Martin Otto
We propose a novel construction of finite hypergraphs and relational structures that is based on reduced products with Cayley graphs of groupoids. To this end we construct groupoid…
On Groupoids and Hypergraphs
Martin Otto
We present a novel construction of finite groupoids whose Cayley graphs have large girth even w.r.t. a discounted distance measure that contracts arbitrarily long sequences of edge…