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Packing 3-Vertex Paths in 2-Connected Graphs

2007/12/26 by Alexander Kelmans, Kelmans, Alexander · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #Limits and Structures in Graph Theory #graph theory and CDMA systems #math.CO #msc:05C10

paper · pdf · doi:10.48550/arxiv.0712.4151

13 pages, 14 figures

arxiv created 2007/12/26 · arxiv updated 2009/12/01

Abstract

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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