It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication

Submodular functions are relevant to machine learning for at least two reasons: (1) some problems may be expressed directly as the optimization of submodular fu

It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication

The importance of submodular functions has been widely recognized in recent years in combinatorial optimization. This is the first book devoted to the expositio

In the late forties, Mathematical Programming became a scientific discipline in its own right. Since then it has experienced a tremendous growth. Beginning with