Abstract
A proper vertex colouring of a graph is equitable if the sizes of colour classes differ by at most one. We present a new shorter proof of the celebrated Hajnal-Szemerédi theorem: for every positive integer r, every graph with maximum degree at most r has an equitable colouring with r + 1 colours. The proof yields a polynomial time algorithm for such colourings.
Original language | English (US) |
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Pages (from-to) | 265-270 |
Number of pages | 6 |
Journal | Combinatorics Probability and Computing |
Volume | 17 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2008 |
ASJC Scopus subject areas
- Theoretical Computer Science
- Statistics and Probability
- Computational Theory and Mathematics
- Applied Mathematics