This book develops geometric techniques for proving the polynomial time
solvability of problems in convexity theory, geometry, and, in
particular, combinatorial optimization. The book is a continuation and
extension of previous research of the authors for which they received
the Fulkerson prize, awarded by the Mathematical Programming Society and
the American Mathematical Society. To quote from a review: "This book
... is doubtless one of the outstanding books in discrete mathematics at
all." (Journal of Information Proceedings and Cybernetics).