2 papers
math.CO2020
Local Balance in Graph Decompositions
Flora C. Bowditch, Peter J. Dukes
In a balanced graph decomposition, every vertex of the host graph appears in the same number of blocks. We propose the use of colored loops as a framework for unifying various othe…
math.CO2015
Fractional triangle decompositions of dense 3-partite graphs
Flora C. Bowditch, Peter J. Dukes
We compute a minimum degree threshold sufficient for 3-partite graphs to admit a fractional triangle decomposition. Together with recent work of Barber, Kühn, Lo, Osthus and Taylor…