Year: 2025
Type: article
Abstract: For a Coxeter group 𝑊 with length function ℓ, the excess zero graph E 0 ( W ) \mathcal{E}_{0}(W) has vertex set the non-identity involutions of 𝑊, with two involutions 𝑥 and 𝑦 adjacent whenever ℓ ( x y ) = ℓ ( x ) + ℓ ( y ) \ell(xy)=\ell(x)+\ell(y) . Properties of this graph such as connectivity, diameter and valencies of certain vertices of E 0 ( W ) \mathcal{E}_{0}(W) are explored.
Source: Journal of Group Theory
Authors: Sarah Hart, Veronica Kelsey, Peter Rowley
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4413115173