6 papers
Near-factorizations in association schemes
Allen Herman, Alice Lacaze-Masmonteil, Karen Meagher +1
We formally initiate the study of -fold near-factorizations in association schemes. Namely, given an association , we consider the existence of a facto…
A complete solution to the directed Oberwolfach problem of order with cycles of even lengths
A. C. Burgess, P. H. Danziger, A. Lacaze-Masmonteil
The Oberwolfach problem asks for a -factorization of the complete graph in which each -factor is isomorphic to a specific factor . Recently, this problem has been extended…
Hamiltonian decompositions of the wreath product of hamiltonian decomposable digraphs
Alice Lacaze-Masmonteil
We affirm most open cases of a conjecture that first appeared in Alspach et al. (1987) which stipulates that the wreath (lexicographic) product of two hamiltonian decomposable dire…
Decompositions of the wreath product of certain directed graphs into directed hamiltonian cycles
Alice Lacaze-Masmonteil
We affirm several special cases of a conjecture that first appears in Alspach et al.~(1987) which stipulates that the wreath (lexicographic) product of two hamiltonian decomposable…
Completing the solution of the directed Oberwolfach problem with two tables
Daniel Horsley, Alice Lacaze-Masmonteil
We address the last outstanding case of the directed Oberwolfach problem with two tables of different lengths. Specifically, we show that the complete symmetric directed graph $K^*…
Completing the solution of the directed Oberwolfach problem with cycles of equal length
Alice Lacaze-Masmonteil
In this paper, we give a solution to the last outstanding case of the directed Oberwolfach problem with tables of uniform length. Namely, we address the two-table case with tables…