A push-relabel framework for submodular function minimization and applications to parametric optimization

[1]  Satoru Iwata,et al.  A faster capacity scaling algorithm for minimum cost submodular flow , 2002, Math. Program..

[2]  Satoru Iwata,et al.  A combinatorial strongly polynomial algorithm for minimizing submodular functions , 2001, JACM.

[3]  Jack Edmonds,et al.  Submodular Functions, Matroids, and Certain Polyhedra , 2001, Combinatorial Optimization.

[4]  Alexander Schrijver,et al.  A Combinatorial Algorithm Minimizing Submodular Functions in Strongly Polynomial Time , 2000, J. Comb. Theory B.

[5]  Satoru Iwata,et al.  A Strongly Polynomial Cut Canceling Algorithm for the Submodular Flow Problem , 1999, IPCO.

[6]  Satoru Iwata,et al.  A Fast Parametric Submodular Intersection Algorithm for Strong Map Sequences , 1997, Math. Oper. Res..

[7]  Satoru Iwata,et al.  A capacity scaling algorithm for convex cost submodular flows , 1996, SODA '96.

[8]  S. Fujishige,et al.  New algorithms for the intersection problem of submodular systems , 1992 .

[9]  Robert E. Tarjan,et al.  A Fast Parametric Maximum Flow Algorithm and Applications , 1989, SIAM J. Comput..

[10]  L. Lovász,et al.  Geometric Algorithms and Combinatorial Optimization , 1988, Algorithms and Combinatorics.

[11]  Andrew V. Goldberg,et al.  A new approach to the maximum flow problem , 1986, STOC '86.

[12]  Éva Tardos,et al.  Layered Augmenting Path Algorithms , 1986, Math. Oper. Res..

[13]  William H. Cunningham.  On submodular function minimization , 1985, Comb..

[14]  William H. Cunningham,et al.  Testing membership in matroid polyhedra , 1984, J. Comb. Theory, Ser. B.

[15]  Martin Grötschel,et al.  The ellipsoid method and its consequences in combinatorial optimization , 1981, Comb..

[16]  Satoru Fujishige,et al.  Lexicographically Optimal Base of a Polymatroid with Respect to a Weight Vector , 1980, Math. Oper. Res..

[17]  Donald M. Topkis,et al.  Minimizing a Submodular Function on a Lattice , 1978, Oper. Res..

[18]  Nimrod Megiddo,et al.  Optimal flows in networks with multiple sources and sinks , 1974, Math. Program..

[19]  Werner Dinkelbach.  On Nonlinear Fractional Programming , 1967 .