Cayley Incidence Graphs

Evra, Feigon, Maurischat, and Parzanchevksi defined a bipartite extension of Caley graphs. When viewed as hypergraphs, their definition coincides with the restriction of the Cayley hypergraphs of Shee, Lee and Kwon, or Jajcay and Jajcayová to linear, uniform, regular hypergraphs. In this talk, we explore that connection, as well as some basic properties and examples of Cayley incidence graphs. This is joint work with Arnbjörg Soffía Árnadóttir, Alexey Gordeev, Tovohery Randrianarisoa, and Joannes Vermant.