Chetwynd, Amanda G. and Hilton, A. J. W. and Hoffman, D. G. (1989) *On the Δ-subgraph of graphs which are critical with respect to the chromatic index.* Journal of Combinatorial Theory, Series B, 46 (2). pp. 240-275. ISSN 0095-8956

Official URL: http://dx.doi.org/10.1016/0095-8956(89)90045-2

## Abstract

The Δ-subgraph of a simple graph G is the subgraph of G induced by the vertices of maximum degree Δ = Δ(G). We show that a non-empty simple graph H can be a Δ-subgraph of a graph G, which is critical with respect to the chromatic index, if and only if H has no vertices of degree 0 or 1.

Item Type: | Article |
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Journal or Publication Title: | Journal of Combinatorial Theory, Series B |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics VC's Office |

ID Code: | 20023 |

Deposited By: | Prof Amanda Chetwynd |

Deposited On: | 25 Nov 2008 08:51 |

Refereed?: | No |

Published?: | Published |

Last Modified: | 07 Jan 2015 13:17 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/20023 |

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