Nešetřil, Jaroslav,

Sparsity : graphs, structures, and algorithms / Jaroslav Nešetřil, Patrice Ossona de Mendez. - Heidelberg ; New York : Springer, ©2012. - xxiii, 457 pages : illustrations (some color) ; 24 cm - Algorithms and combinatorics ; 28 . - Algorithms and combinatorics ; 28. .

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.

9783642278747 3642278744 9783642427763 3642427766

2012937285

GBB253698 bnb

016093062 Uk


Sparse matrices.

511.5 / N575s