The Monadic Second-Order Logic of Graphs XI: Hierarchical Decompositions of Connected Graphs
نویسنده
چکیده
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 also a unique decomposition theorem for 2-dags and a definability of this decomposition in Monadic Second-Order Logic.
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ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 224 شماره
صفحات -
تاریخ انتشار 1999