David R. Wood - Independent sets in graphs with an excluded clique minor

dmtcs:385 - Discrete Mathematics & Theoretical Computer Science, January 1, 2007, Vol. 9 no. 1 - https://doi.org/10.46298/dmtcs.385
Independent sets in graphs with an excluded clique minorArticle

Authors: David R. Wood ORCID1

  • 1 Departament de Matemàtica Aplicada II

Let G be a graph with n vertices, with independence number α, and with no Kt+1-minor for some t ≥ 5. It is proved that (2α - 1)(2t - 5) ≥ 2n - 5. This improves upon the previous best bound whenever n≥2/5t2.

https://doi.org/10.46298/dmtcs.385
Source: HAL:hal-00966507v1
Volume: Vol. 9 no. 1
Section: Graph and Algorithms
Published on: January 1, 2007
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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