Vertex partitions of chordal graphs
نویسنده
چکیده
A k-tree is a chordal graph with no (k + 2)-clique. An l-treepartition of a graph G is a vertex partition of G into ‘bags’, such that contracting each bag to a single vertex gives an l-tree (after deleting loops and replacing parallel edges by a single edge). We prove that for all k ≥ l ≥ 0, every k-tree has an l-tree-partition in which every bag induces a connected ⌊k/(l + 1)⌋-tree. An analogous result is proved for oriented k-trees.
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عنوان ژورنال:
- Journal of Graph Theory
دوره 53 شماره
صفحات -
تاریخ انتشار 2006