3 papers
math.CO2023
Extending partial edge colorings of cartesian products of graphs
Carl Johan Casselgren, Fikre B. Petros, Samuel A. Fufa
We consider the problem of extending partial edge colorings of cartesian products of graphs. More specifically, we suggest the following Evans-type conjecture: If is a graph wh…
math.CO2022
Pattern-avoidance and Fuss-Catalan numbers
Per Alexandersson, Samuel Asefa Fufa, Frether Getachew +1
We study a subset of permutations, where entries are restricted to having the same remainder as the index, modulo some integer . We show that when also imposing the class…
math.CO2021
Set Partitions and Other Bell Number Enumerated Objects
Fufa Beyene, Jörgen Backelin, Roberto Mantaci +1
In this paper, we study classes of subexcedant functions enumerated by the Bell numbers and present bijections on set partitions. We present a set of permutations whose transpositi…