The monadic second-order logic of graphs XI: Hierarchical decompositions of connected graphs
نویسندگان
چکیده
منابع مشابه
The Monadic Second-Order Logic of Graphs XI: Hierarchical Decompositions of Connected Graphs
We prove that the unique decomposition of connected graphs defined by Tutte is definable by formulas of Monadic Second-Order Logic. This decomposition has two levels: every connected graph is a tree of "2-connected components" called blocks ; every 2-connected graph is a tree of so-called 3-blocks. Our proof uses 2dags which are certain acyclic orientations of the considered graphs. We obtain a...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1999
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(98)00306-5