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In this chapter we set out from a type of problem which, on the face of it, appears to be similar to the theme of Chapter 7: what kind of substructures are necessarily present in every large enough graph? While ‘large’ in Chapter 7 meant ‘many edges’ on a given number of vertices, in this chapter it will simply mean ‘many vertices’.

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Ramsey Theory for Graphs

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  • 发表日期：

    2025年

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  • Reinhard Diestel

摘要

In this chapter we set out from a type of problem which, on the face of it, appears to be similar to the theme of Chapter 7: what kind of substructures are necessarily present in every large enough graph? While ‘large’ in Chapter 7 meant ‘many edges’ on a given number of vertices, in this chapter it will simply mean ‘many vertices’.