3 papers
math.CO2023
Extremal values for Steiner distances and the Steiner -Wiener index
Hua Wang, Andrew Zhang
Various questions related to distances between vertices of simple, finite graphs are of interest to extremal graph theorists. The Steiner distance of a set of vertices is a nat…
math.CO2022
Gallai's Conjecture for Complete and "Nearly Complete" Graphs
Hua Wang, Andrew Zhang
The famous Gallai's Conjecture states that any connected graph with n vertices has a path decomposition containing at most (n+1)/2 paths. In this note, we explore graphs generated…
math.AC2022
On the factorization invariants of arithmetical congruence monoids
Scott T. Chapman, Caroline Liu, Annabel Ma +1
In this paper, we study various factorization invariants of arithmetical congruence monoids. The invariants we investigate are the catenary degree, a measure of the maximum distanc…