A tree--arrowing graph

Details A tree--arrowing graph A tree--arrowing graph

1997-08-15

arxiv.org/abs/math/9708210v1

Mathematics

Logic

Scientific paper

We answer a variant of a question of Rodl and Voigt by showing that, for a
given infinite cardinal lambda, there is a graph G of cardinality kappa
=(2^lambda)^+ such that for any colouring of the edges of G with lambda
colours, there is an induced copy of the kappa-tree in G in the set theoretic
sense with all edges having the same colour.

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