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Local Anti-Ramsey Numbers of Graphs

Published online by Cambridge University Press:  03 December 2003

Maria Axenovich*
Affiliation:
Department of Mathematics, Iowa State University, Ames, IA 50011, USA
Tao Jiang*
Affiliation:
Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, USA
Z Tuza*
Affiliation:
Computer and Automation Institute, Hungarian Academy of Sciences, H-1111 Budapest, Kende u.13-17, Hungary

Abstract

A subgraph H in an edge-colouring is properly coloured if incident edges of H are assigned different colours, and H is rainbow if no two edges of H are assigned the same colour. We study properly coloured subgraphs and rainbow subgraphs forced in edge-colourings of complete graphs in which each vertex is incident to a large number of colours.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2003

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Footnotes

Research supported by Miami University Faculty Summer Research Grant.