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What and Who

Induced Colourful Paths in Triangle-free Graphs

Mathew Francis
Indian Statistical Institute, Chennai, India
AG1 Mittagsseminar (own work)
AG 1  
AG Audience
English

Date, Time and Location

Thursday, 14 September 2017
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

Given a graph G = (V, E) whose vertices have been properly coloured, we say that a path in G is colourful if no two vertices in the path have the same colour. It is a corollary of the Gallai-Roy Theorem that every properly coloured graph contains a colourful path on \chi(G) vertices, where \chi(G) is the chromatic number of G. We explore a conjecture that states that every properly coloured triangle-free graph G contains an induced colourful path on \chi(G) vertices.

Contact

Davis Issac
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Davis Issac, 09/06/2017 15:50 -- Created document.