We show that a class of polyhedra, arising from certain 0, 1 matrices introduced by Truemper and Chandrasekaran, has the integer decomposition property. This is accomplished by pr...
We consider combinatorial optimization problems arising in radiation therapy. Given a matrix I with non-negative integer entries, we seek for a decomposition of I as a weighted su...
We tackle the issue of representing infinite sets of realvalued vectors. This paper introduces an operator for combining integer and real sets. Using this operator, we decompose ...
Decomposition algorithms such as Lagrangian relaxation and Dantzig-Wolfe decomposition are well-known methods that can be used to generate bounds for mixed-integer linear programmi...
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...