Sparsity: Graphs, Structures, and Algorithms (Algorithms and Combinatorics, 28) - Softcover

Book 4 of 8: Algorithms and Combinatorics

Nešetřil, Jaroslav; Ossona De Mendez, Patrice

 
9783642427763: Sparsity: Graphs, Structures, and Algorithms (Algorithms and Combinatorics, 28)

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783642278747: Sparsity: Graphs, Structures, and Algorithms (Algorithms and Combinatorics, 28)

Featured Edition

ISBN 10:  3642278744 ISBN 13:  9783642278747
Publisher: Springer, 2012
Hardcover