A Model Theory Approach to Structural Limits
arXiv:1303.2865
Abstract
The goal of this paper is to unify two lines in a particular area of graph limits. First, we generalize and provide unified treatment of various graph limit concepts by means of a combination of model theory and analysis. Then, as an example, we generalize limits of bounded degree graphs from subgraph testing to finite model testing.
References in corpus (1)
Cited by in corpus (5)
- An theory of sparse graph convergence I: limits, sparse random graph models, and power law distributions
- A unified approach to structural limits, and limits of graphs with bounded tree-depth
- First-order limits, an analytical perspective
- First order convergence and roots
- A duality theoretic view on limits of finite structures: Extended version