3 citations · 4 across the 7 of their papers we have counts for
7 papers
The Excess Zero Graph of a Coxeter Group
Sarah Hart, Veronica Kelsey, Peter Rowley
For a Coxeter group with length function , the excess zero graph has vertex set the non-identity involutions of , with two involutions and a…
Commuting involution graphs for
Sarah Hart, Amal Sbeiti Clarke
In this article we consider commuting graphs of involution conjugacy classes in the affine Weyl group of type . We show that where the graph is connected the diameter i…
Groups whose locally maximal product-free sets are complete
Chimere S. Anabanti, Grahame Erskine, Sarah B. Hart
Let be a finite group and a subset of . Then is product-free if , and complete if . A product-free set is locall…
Involution Products in Coxeter Groups
Sarah B. Hart, Peter J. Rowley
For a Coxeter group, let $\mathcal{W} = \{ w \in W \;| \; w = xy \; \mbox{where} \; x, y \in W \; \mbox{and} \; x^2 = 1 = y^2 \}$. If is finite, then it is well known that…
On Excess in Finite Coxeter Groups
Sarah B. Hart, Peter J. Rowley
For a finite Coxeter group and an element of the `excess' of is defined to be where $\el…
Zero Excess and Minimal Length in Finite Coxeter Groups
Sarah B. Hart, Peter J. Rowley
Let be the set of strongly real elements of , a Coxeter group. Then for , , the excess of , is defined by $e(w) = \min\{\ell(x) + \ell(…