Complexity of spatial embeddings of graphs

Duration: 57 mins 46 secs
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Description: Bukh, B (Cambridge)
Monday 10 January 2011, 10:00-11:00
 
Created: 2011-01-11 09:18
Collection: Discrete Analysis
Publisher: Isaac Newton Institute
Copyright: Bukh, B
Language: eng (English)
Credits:
Author:  Bukh, B
Producer:  Steve Greenham
 
Abstract: We introduce a measure of topological complexity of an embedding of a graph into R^3. We show that the notion strengthens the crossing number for graph embeddings in R^2, and that the complexity of expander graphs is high, as expected. We will also discuss the questions related to generalisations to higher dimensions. Joint work with Alfredo Hubard.
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