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Sparsity : graphs, structures, and algorithms / Jaroslav Nešetřil, Patrice Ossona de Mendez.

By: Contributor(s): Material type: TextTextSeries: Algorithms and combinatorics ; 28.Publication details: Heidelberg ; New York : Springer, ©2012.Description: xxiii, 457 pages : illustrations (some color) ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9783642278747
  • 3642278744
  • 9783642427763
  • 3642427766
Subject(s): Additional physical formats: Online version:: Sparsity.DDC classification:
  • 511.5 N575s
Online resources:
Contents:
Introduction -- A few problems -- Prolegomena -- Measuring sparsity -- Classes and their classification -- Bounded height trees and tree-depth -- Decomposition -- Independence -- First-order CSP, limits, and homomorphism dualities -- Preservation theorems -- Restricted homomorphism dualities -- Counting -- Back to classes -- Classes with bounded expansion -- Some applications -- Property testing, hyperfiniteness, and separators -- Core algorithms -- Algorithmic applications -- Further directions.
Summary: "This is the first book devoted to the systematic study of sparse graphs and sparse finite structures"--Back cover.
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Holdings
Item type Current library Collection Call number Copy number Status Date due Barcode
Books Books Castorina Estantes Abertas (Open Shelves) Livros (Books) 511.5 N575s 2012 IMPA (Browse shelf(Opens below)) 1 Available 39063000808247

Includes bibliographical references (pages 431-450) and index.

Introduction -- A few problems -- Prolegomena -- Measuring sparsity -- Classes and their classification -- Bounded height trees and tree-depth -- Decomposition -- Independence -- First-order CSP, limits, and homomorphism dualities -- Preservation theorems -- Restricted homomorphism dualities -- Counting -- Back to classes -- Classes with bounded expansion -- Some applications -- Property testing, hyperfiniteness, and separators -- Core algorithms -- Algorithmic applications -- Further directions.

"This is the first book devoted to the systematic study of sparse graphs and sparse finite structures"--Back cover.

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