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COMPLETING AN EDGE-COLOURING OF $K_{2m}$ WITH $K_r$ AND INDEPENDENT EDGES PRECOLOURED

Published online by Cambridge University Press:  03 December 2004

M. J. HENDERSON  and
A. J. W. HILTON
M. J. HENDERSON
Affiliation:
Department of Mathematics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6AX, United [email protected], [email protected]
A. J. W. HILTON
Affiliation:
Department of Mathematics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6AX, United [email protected], [email protected]
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Abstract

Those $(2m-1)$-edge-colourings of a spanning subgraph of $K_{2m}$, consisting of $K_{r}$ and independent edges, that can be embedded in a $(2m-1)$-edge-colouring of $K_{2m}$ are characterised.

Keywords

05C15 (primary)05B15 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 545 - 566
Copyright
The London Mathematical Society 2004

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