This article is part of a project consisting in expressing, whenever possible, graph properties and graph transformations in monadic second-order logic or in its extensions using modulo p cardinality set predicates or auxiliary linear orders. A circle graph is the intersection graph of a set of chor
β¦ LIBER β¦
Groups, graphs, languages, automata, games and second-order monadic logic
β Scribed by Tullio Ceccherini-Silberstein; Michel Coornaert; Francesca Fiorenzi; Paul E. Schupp
- Book ID
- 113582486
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 647 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0195-6698
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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