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- W1525158778 abstract "Given two graphs G and H , and a natural number n , we write G → ( H ) 2 n if in every n -edge-colouring of G , one can find a monochromatic subgraph isomorphic to H. Let k be an arbitrary cardinal number, P ω the one-way infinite path and K p,q the complete bipartite graph with p and q vertices in its classes. We consider the following question: Is it true, that if |G| ≥ k and G → (P ω ) 2 n , then G ⊇ K p,q ?" @default.
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- W1525158778 date "1984-01-01" @default.
- W1525158778 modified "2023-10-06" @default.
- W1525158778 title "MONOCHROMATIC PATHS IN INFINITE COLOURED GRAPHS" @default.
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- W1525158778 doi "https://doi.org/10.1016/b978-0-444-86893-0.50028-0" @default.
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