Computational Discrete Mathematics

Advanced Lectures
2001
ISBN: 978-3-540-42775-9
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 2122, 173 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 295 g

Reihe: Lecture Notes in Computer Science

This book is based on a graduate education program on computational discrete mathematics run for several years in Berlin, Germany, as a joint effort of theoretical computer scientists and mathematicians in order to support doctoral students and advanced ongoing education in the field of discrete mathematics and algorithmics.
The 12 selected lectures by leading researchers presented in this book provide recent research results and advanced topics in a coherent and consolidated way. Among the areas covered are combinatorics, graph theory, coding theory, discrete and computational geometry, optimization, and algorithmic aspects of algebra.

Zielgruppe

Research

Autoren/Hrsg.

Alt, Helmut

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Grafikprogrammierung

Inhaltsverzeichnis

Lattice Paths and Determinants.- The Nearest Neighbor.- Explicit and Implicit Enforcing - Randomized Optimization.- Codes over Z 4.- Degree Bounds for Long Paths and Cycles in k-Connected Graphs.- Data Structures for Boolean Functions BDDs — Foundations and Applications.- Scheduling under Uncertainty: Bounding the Makespan Distribution.- Random Graphs, Random Triangle-Free Graphs, and Random Partial Orders.- Division-Free Algorithms for the Determinant and the Pfaffian: Algebraic and Combinatorial Approaches.- Check Character Systems and Anti-symmetric Mappings.- Algorithms in Pure Mathematics.- Coloring Hamming Graphs, Optimal Binary Codes, and the 0/1-Borsuk Problem in Low Dimensions.