Titlebook: Sparsity; Graphs, Structures, Jaroslav Nešetřil,Patrice Ossona de Mendez Textbook 2012 Springer-Verlag Berlin Heidelberg 2012 combinatoria

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Textbook 2012isfaction 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..

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Textbook 2012ous 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 e

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First-Order Constraint Satisfaction Problems, Limits and Homomorphism Dualities share many similarities but also display important and profound differences. This will be illustrated in this chapter by means of several examples. We start with a generalization of the coloring problem.

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Measuring Sparsityrs, and immersions as the basic local changes in graph classes. We show that edge densities in the iteration of these local changes are related and that they are also related to other parameters such as chromatic number and generalized coloring numbers.

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First-Order Constraint Satisfaction Problems, Limits and Homomorphism Dualitiesng of ., which developed more recently, one studies first-order logic (and its various extensions) just on finite structures [141, 303]. Both theories share many similarities but also display important and profound differences. This will be illustrated in this chapter by means of several examples. W

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