Edge-partitioning 3-edge-connected graphs into paths

نویسندگان

چکیده

We show that for every ℓ , there exists d such 3-edge-connected graph with minimum degree can be edge-partitioned into paths of length (provided its number edges is divisible by ). This improves a result asserting 24-edge-connectivity and high provides partition. best possible as 3-edge-connectivity cannot replaced 2-edge connectivity.

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 2022

ISSN: ['0095-8956', '1096-0902']

DOI: https://doi.org/10.1016/j.jctb.2022.05.001