Sparsity
Graphs, Structures, and Algorithms
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Description
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.
Release date Australia
May 9th, 2014
Audience
- Professional & Vocational
Illustrations
100 Illustrations, color; 32 Illustrations, black and white; XXIII, 459 p. 132 illus., 100 illus. in color.
Pages
459
Series
Dimensions
155x235x25
ISBN-13
9783642427763
Product ID
25598644
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