2 papers
math.CO2024
Braid graphs in simply-laced triangle-free Coxeter systems are median
Jillian Barnes, Jadyn V. Breland, Dana C. Ernst +1
Any two reduced expressions for the same Coxeter group element are related by a sequence of commutation and braid moves. Two reduced expressions are said to be braid equivalent if…
math.CO2024
Pattern-avoiding Cayley permutations via combinatorial species
Anders Claesson, Giulio Cerbai, Dana C. Ernst +1
A Cayley permutation is a word of positive integers such that if a letter appears in this word, then all positive integers smaller than that letter also appear. We initiate a syste…