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**Zentralblatt MATH**

**Publications of (and about) Paul Erdös**

**Zbl.No: ** 724.05048

**Autor: ** Erdös, Paul; Tuza, Zsolt

**Title: ** Rainbow Hamiltonian paths and canonically colored subgraphs in infinite complete graphs. (In English)

**Source: ** Math. Pannonica 1, No.1, 5-13 (1990).

**Review: ** The authors establish the existence of a Hamiltonian path with no two edges of the same colour in an edge-coloured complete graph in terms of a forbidden edge-coloured subgraph and under the assumption that each vertex degree in each monochromatic subgraph is of finite measure with respect to a fixed 0-1 measure on the vertex set. They also introduce so-called canonically coloured subgraphs and investigate how large they can be.

**Reviewer: ** C.Thomassen (Lyngby)

**Classif.: ** * 05C55 Generalized Ramsey theory

05C15 Chromatic theory of graphs and maps

05C45 Eulerian and Hamiltonian graphs

**Keywords: ** Hamiltonian path; canonically coloured subgraphs

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