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Combinatorics by Peter J. Cameron

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18.  Graph colourings

On the bank of the river he saw a tall tree: from roots to crown one half was aflame and the other green with leaves.

‘Peredur son of Evrawg’from The Mabinogion (earlier than 1325)

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TOPICS: Vertex and edge colourings; perfect graphs; graph minors; embeddings of graphs in surfaces

TECHNIQUES: Use of Max-Flow Min-Cut Theorem for constructions; alternating chain arguments

ALGORITHMS:

CROSS-REFERENCES: Graphs, networks (Chapter 11); Hall’s theorem (Chapter 6); posets (Chapter 12); [symmetric functions (Chapter 13)]

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In Chapter 11 ...

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