Sparsity

Graphs, Structures, and Algorithms

von Jaroslav Nešetřil, Patrice Ossona de Mendez

459 Seiten, Hardcover

Kurzbeschreibung des Verlags

This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remarkable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants.

This study of sparse structures found applications in such diverse areas as algorithmic graph theory, complexity of algorithms, property testing, descriptive complexity and mathematical logic (homomorphism preservation,fixed parameter tractability and constraint satisfaction problems). It should be stressed that despite of its generality this approach leads to linear (and nearly linear) algorithms.

Jaroslav Nešetřil is a professor at Charles University, Prague; Patrice Ossona de Mendez is a CNRS researcher et EHESS, Paris.

This book is related to the material presented by the first author at ICM 2010.

• Reihe: Algorithms and Combinatorics
• Themen: Mathematik und Naturwissenschaften Mathematik Diskrete Mathematik
• ISBN: 9783642278747
• Sprache: Englisch
• Erscheinungsdatum: 25.04.2012
• Größe: 23.5 x 15.5 cm
• Verlag: Springer Berlin