3 papers
math.CO2021
Orientation-based edge-colorings and linear arboricity of multigraphs
Ronen Wdowinski
The Goldberg-Seymour Conjecture for -colorings states that the -chromatic index of a loopless multigraph is essentially determined by either a maximum degree or a maximum den…
math.CO2018
Partitioning the power set of into -free parts
Eben Blaisdell, András Gyárfás, Robert A. Krueger +1
We show that for , in any partition of , the set of all subsets of , into parts, some part must contain a triangl…
math.GR2018
On zigzag maps and the path category of an inverse semigroup
Allan Donsig, Jennifer Gensler, Hannah King +2
We study the path category of an inverse semigroup admitting unique maximal idempotents and give an abstract characterization of the inverse semigroups arising from zigzag maps on…