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arxiv: 1412.8709 · v3 · pith:EXA5I7NRnew · submitted 2014-12-30 · 🧮 math.CO

Connected even factors in the square of essentially 2-edge connected graphs

classification 🧮 math.CO
keywords connectededgeessentiallyevensquaredegreefactorgraph
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In this paper we prove that the square of an essentially 2-edge connected graph with an additional property has a connected even factor with maximum degree at most 4. Moreover we show that, in general, the square of essentially 2-edge connected graph does not contain a connected even factor with bounded maximum degree.

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