Packing 3-Vertex Paths in 2-Connected Graphs

Mathematics – Combinatorics

Scientific paper

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13 pages, 14 figures

Scientific paper

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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