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