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arxiv: 0712.4151 · v1 · submitted 2007-12-26 · 🧮 math.CO

Packing 3-Vertex Paths in 2-Connected Graphs

classification 🧮 math.CO
keywords connectedgraphsvertexbipartiteconstructioncopiescubicdisjoint
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We give a construction that provides infinitely many 2-connected, cubic, bipartite, and planar graphs G with 3k vertices and such that the number of disjoint copies of a 3-vertex path in G is less than k.

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