Random graphs in the monadic theory of order
β Scribed by Shmuel Lifsches; Saharon Shelah
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 278 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0933-5846
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π SIMILAR VOLUMES
We consider the class US k of uniformly k-sparse simple graphs, i.e., the class of ΓΏnite or countable simple graphs, every ΓΏnite subgraph of which has a number of edges bounded by k times the number of vertices. We prove that for each k, every monadic second-order formula (intended to express a grap
The theory of random graphs has been mainly concerned with structural w x properties, in particular the most likely values of various graph invariantsαsee Bollobas 21 . There has been increasing interest in using random graphs as models for the average case analysis of graph algorithms. In this pap
We prove that the probability of each second order monadic property of a random mapping u converges as n Βͺ Ο±.