Trees and co-trees with constant maximum degree in planar 3-connected graphs
نویسنده
چکیده
This paper considers the conjecture by Grünbaum that every planar 3-connected graph has a spanning tree T such that both T and its co-tree have maximum degree at most 3. Here, the co-tree of T is the spanning tree of the dual obtained by taking the duals of the non-tree edges. While Grünbaum’s conjecture remains open, we show that every planar 3-connected graph has a spanning tree T such that both T and its co-tree have maximum degree at most 5. It can be found in linear time.
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عنوان ژورنال:
- CoRR
دوره abs/1312.4101 شماره
صفحات -
تاریخ انتشار 2013