Minimum cuts, modular functions, and matroid polyhedra

WH Cunningham - Networks, 1985 - Wiley Online Library
WH Cunningham
Networks, 1985Wiley Online Library
The minimum cut problem is a well‐solved special case of submodular function
minimization. We show that it is in fact equivalent to minimizing a modular function over a
ring family. One‐half of this equivalence follows from classical work of Rhys and Picard. We
give a number of applications to testing membership in special kinds of matroid polyhedra.
Abstract
The minimum cut problem is a well‐solved special case of submodular function minimization. We show that it is in fact equivalent to minimizing a modular function over a ring family. One‐half of this equivalence follows from classical work of Rhys and Picard. We give a number of applications to testing membership in special kinds of matroid polyhedra.
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