Facets of Combinatorial Optimization

Festschrift for Martin Grötschel

  • Michael Jünger
  • Gerhard Reinelt

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Martin Grötschel—Activist in Optimization

    1. Front Matter
      Pages 1-3
    2. Michael Jünger, Gerhard Reinelt
      Pages 5-19
  3. Contribution by a Very Special Predecessor of Martin Grötschel

    1. Front Matter
      Pages 21-22
    2. Manfred W. Padberg
      Pages 23-58
  4. Martin Grötschel’s Doctoral Descendants

    1. Front Matter
      Pages 59-61
  5. Contributions by Martin Grötschel’s Doctoral Descendants

    1. Front Matter
      Pages 73-75
    2. Volker Kaibel, Kanstantsin Pashkovich
      Pages 77-100
    3. Michel Baes, Timm Oertel, Christian Wagner, Robert Weismantel
      Pages 101-131
    4. Arnaud Pêcher, Annegret K. Wagler
      Pages 133-161
    5. Zaw Win, Cho Kyi Than
      Pages 163-174
    6. Carlos Eduardo Ferreira, Álvaro Junio Pereira Franco
      Pages 175-194
    7. Rafael da Ponte Barbosa, Yoshiko Wakabayashi
      Pages 195-214
    8. Ralf Borndörfer, Nam-Dũng Hoang, Marika Karbstein, Thorsten Koch, Alexander Martin
      Pages 215-244
    9. Eduardo Álvarez-Miranda, Ivana Ljubić, Petra Mutzel
      Pages 245-270
    10. Frank Baumann, Sebastian Berckey, Christoph Buchheim
      Pages 271-294
    11. Martin Schmidt, Marc C. Steinbach, Bernhard M. Willert
      Pages 295-320
    12. Björn Geißler, Antonio Morsi, Lars Schewe
      Pages 321-353
    13. Miguel F. Anjos, Bissan Ghaddar, Lena Hupp, Frauke Liers, Angelika Wiegele
      Pages 355-386
    14. Michael N. Jung, Christian Kirches, Sebastian Sager
      Pages 387-417
    15. Armin Fügenschuh, George Nemhauser, Yulian Zeng
      Pages 419-447
    16. Tobias Achterberg, Roland Wunderling
      Pages 449-481
    17. Thorsten Koch, Alexander Martin, Marc E. Pfetsch
      Pages 483-506

About this book


Martin Grötschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday on September 10, 2013. Martin Grötschel’s doctoral descendant tree 1983–2012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren, and 2 great-great-grandchildren, a total of 139 doctoral descendants. 

This book starts with a personal tribute to Martin Grötschel by the editors (Part I), a contribution by his very special “predecessor” Manfred Padberg on “Facets and Rank of Integer Polyhedra” (Part II), and the doctoral descendant tree 1983–2012 (Part III). The core of this book (Part IV) contains 16 contributions, each of which is coauthored by at least one doctoral descendant. 

The sequence of the articles starts with contributions to the theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimization, superclasses of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclic graphs, and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering. 

Combinations of new theoretical insights with algorithms and experiments deal with network design problems, combinatorial optimization problems with submodular objective functions, and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design, mean-risk optimization, and gas network optimization. 

Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-integer linear optimization for scheduling and routing of fly-in safari planes. 

The two closing articles are devoted to computational advances in general mixed-integer linear optimization, the first by scientists working in industry, the second by scientists working in academia.

These articles reflect the “scientific facets” of Martin Grötschel who has set standards in theory, computation, and applications.


discrete optimization integer polyhedra integer programming

Editors and affiliations

  • Michael Jünger
    • 1
  • Gerhard Reinelt
    • 2
  1. 1.Dept. of Computer ScienceUniversity of CologneCologneGermany
  2. 2.Dept. of Computer ScienceUniversity of HeidelbergHeidelbergGermany

Bibliographic information