Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Combinatorial optimization --- Combinatorial optimization. --- Optimisation combinatoire --- EPUB-LIV-FT LIVMATHE SPRINGER-B

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication of the 1st edition of this book fifteen years ago, submodular functions have been showing further increasing importance in optimization, combinatorics, discrete mathematics, algorithmic computer science, and algorithmic economics, and there have been made remarkable developments of theory and algorithms in submodular functions. The 2nd edition of the book supplements the 1st edition with a lot of remarks and with new two chapters: ""Sub

Submodular functions. --- Combinatorial optimization. --- Optimization, Combinatorial --- Functions, Submodular --- Combinatorial analysis --- Mathematical optimization --- Matroids --- Submodular functions --- Combinatorial optimization --- Fonctions sous modulaires --- Optimisation combinatoire --- ELSEVIER-B EPUB-LIV-FT

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematics --- Mathematical optimization --- Integer programming --- Optimisation mathématique --- Programmation en nombres entiers --- Periodicals. --- Périodiques --- Integer programming. --- Mathematical optimization. --- Programmation en nombres entiers. --- Optimisation mathématique. --- Optimisation combinatoire. --- Mathematical Sciences --- Algorithms --- Applied Mathematics --- Logic --- Mathematical Analysis & Logic

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Combinatorial optimization is one of the youngest and most active areas of discrete mathematics, and is probably its driving force today. It became a subject in its own right about 50 years ago. This book describes the most important ideas, theoretical results, and algo­ rithms in combinatorial optimization. We have conceived it as an advanced gradu­ ate text which can also be used as an up-to-date reference work for current research. The book includes the essential fundamentals of graph theory, linear and integer programming, and complexity theory. It covers classical topics in combinatorial optimization as well as very recent ones. The emphasis is on theoretical results and algorithms with provably good performance. Applications and heuristics are mentioned only occasionally. Combinatorial optimization has its roots in combinatorics, operations research, and theoretical computer science. A main motivation is that thousands of real-life problems can be formulated as abstract combinatorial optimization problems. We focus on the detailed study of classical problems which occur in many different contexts, together with the underlying theory. Most combinatorial optimization problems can be formulated naturally in terms of graphs and as (integer) linear programs. Therefore this book starts, after an introduction, by reviewing basic graph theory and proving those results in linear and integer programming which are most relevant for combinatorial optimization.

Combinatorial optimization. --- Optimisation combinatoire --- Combinatorial optimization --- Combinatorics. --- Calculus of variations. --- Computer science—Mathematics. --- Calculus of Variations and Optimal Control; Optimization. --- Mathematics of Computing. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Combinatorics --- Algebra --- Mathematical analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Combinatorial geometry --- Geometry of numbers --- Mathematical optimization --- Programming (Mathematics) --- Géométrie combinatoire --- Geometrie des nombres --- Optimisation mathématique --- Programmation (Mathématiques) --- Combinatorial geometry. --- Geometry of numbers. --- Mathematical optimization. --- Programming (Mathematics). --- Programmation mathematique --- Geometrie algorithmique --- Geometrie convexe --- Optimisation combinatoire --- Corps convexes