4 citations · 5 across the 2 of their papers we have counts for
5 papers · 1 filter
Restricted extension of sparse partial edge colorings of complete graphs
Carl Johan Casselgren, Lan Anh Pham
Given a partial edge coloring of a complete graph and lists of allowed colors for the non-colored edges of , can we extend the partial edge coloring to a proper edge col…
On restricted colorings of -edge colorable graphs
Lan Anh Pham
A cycle is -colored if its edges are properly colored by two distinct colors. A -edge colorable graph is a -regular graph that admits a proper -edge coloring in…
Latin cubes of even order with forbidden entries
Carl Johan Casselgren, Lan Anh Pham
We consider the problem of constructing Latin cubes subject to the condition that some symbols may not appear in certain cells. We prove that there is a constant such that i…
Latin Cubes with Forbidden Entries
Carl Johan Casselgren, Klas Markström, Lan Anh Pham
We consider the problem of constructing Latin cubes subject to the condition that some symbols may not appear in certain cells. We prove that there is a constant such that i…
Restricted extension of sparse partial edge colorings of hypercubes
C. J Casselgren, K. Markström, L. A. Pham
We consider the following type of question: Given a partial proper -edge coloring of the -dimensional hypercube , and lists of allowed colors for the non-colored edges o…