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Packing Three-Vertex Paths in a Subcubic Graph
Abstract : In our paper we consider the $P_3$-packing problem in subcubic graphs of different connectivity, improving earlier results of Kelmans and Mubayi. We show that there exists a $P_3$-packing of at least $\lceil 3n/4\rceil$ vertices in any connected subcubic graph of order $n>5$ and minimum vertex degree $\delta \geq 2$, and that this bound is tight. The proof is constructive and implied by a linear-time algorithm. We use this result to show that any $2$-connected cubic graph of order $n>8$ has a $P_3$-packing of at least $\lceil 7n/9 \rceil$ vertices.
Cited literature [7 references]
https://hal.inria.fr/hal-01184370
Contributor : Coordination Episciences Iam <>
Submitted on : Friday, August 14, 2015 - 11:37:57 AM
Last modification on : Wednesday, September 16, 2020 - 12:42:03 PM
Long-term archiving on: : Sunday, November 15, 2015 - 11:02:33 AM
Contributor : Coordination Episciences Iam <>
Submitted on : Friday, August 14, 2015 - 11:37:57 AM
Last modification on : Wednesday, September 16, 2020 - 12:42:03 PM
Long-term archiving on: : Sunday, November 15, 2015 - 11:02:33 AM
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