Restricted extension of sparse partial edge colorings of hypercubes

Autor: Casselgren, C. J, Markström, K., Pham, L. A.
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: We consider the following type of question: Given a partial proper $d$-edge coloring of the $d$-dimensional hypercube $Q_d$, and lists of allowed colors for the non-colored edges of $Q_d$,can we extend the partial coloring to a proper $d$-edge coloring using only colors from the lists? We prove that this question has a positive answer in the case when both the partial coloring and the color lists satisfy certain sparsity conditions.
Databáze: arXiv