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Sparsity: Graphs, Structures, and Algorithms by Jaroslav Nesetřil

Sparsity: Graphs, Structures, and Algorithms

by Jaroslav Nesetřil
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Book cover type: Paperback
  • ISBN13: 9783642427763
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 459
  • Original Price: EUR 84.99
  • Language: English
  • Edition: 2012
  • Item Weight: 682 grams
  • BISAC Subject(s): Combinatorics, Geometry / Analytic, and Data Science / General

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 Nesetřil 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.

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