2 citations · 2 across the 7 of their papers we have counts for
4 papers · 1 filter
Connectedness of two-sided group digraphs and graphs
Patreck Chikwanda, Cathy Kriloff, Yun Teck Lee +3
Two-sided group digraphs and graphs, introduced by Iradmusa and Praeger, provide a generalization of Cayley digraphs and graphs in which arcs are determined by left and right multi…
Spectra of Cayley Graphs of Complex Reflection Groups
Briana Foster-Greenwood, Cathy Kriloff
Renteln proved that the eigenvalues of the distance matrix of a Cayley graph of a real reflection group with respect to the set of all reflections are integral and provided a combi…
Hamiltonian cycles in Cayley graphs of imprimitive complex reflection groups
Cathy Kriloff, Terry Lay
Generalizing a result of Conway, Sloane, and Wilkes for real reflection groups, we show the Cayley graph of an imprimitive complex reflection group with respect to standard generat…
Dominant regions in noncrystallographic hyperplane arrangements
Yu Chen, Cathy Kriloff
For a crystallographic root system, dominant regions in the Catalan hyperplane arrangement are in bijection with antichains in a partial order on the positive roots. For a noncryst…