11/4-colorability of subcubic triangle-free graphs

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2022-05-01
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Dvořák, Zdeněk
Postle, Luke
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© 2022 The Authors
Abstract
We prove that up to two exceptions, every connected subcubic triangle-free graph has fractional chromatic number at most 11/4. This is tight unless further exceptional graphs are excluded, and improves the known bound on the fractional chromatic number of subcubic triangle-free planar graphs.
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This preprint is made available through arXiv at doi:https://doi.org/10.48550/arXiv.2204.12683. This work is licensed under the Creative Commons Attribution 4.0 License.
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