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arxiv: 1609.05059 · v2 · pith:FHBLACHRnew · submitted 2016-09-16 · 🧮 math.CO

Decomposing planar cubic graphs

classification 🧮 math.CO
keywords cubicconjectureconnectedgraphsclassdecomposeddecomposingdecomposition
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The 3-Decomposition Conjecture states that every connected cubic graph can be decomposed into a spanning tree, a 2-regular subgraph and a matching. We show that this conjecture holds for the class of connected plane cubic graphs.

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