Title	Counterexample to the Hanani-Tutte theorem on the surface of genus 4
Creator	Kyncl, Jan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-08-22T14:58
Description	We find a graph of genus 5 and its drawing on the orientable surface of genus 4 with every pair of independent edges crossing an even number of times. This shows that the strong Hanani-Tutte theorem cannot be generalized to the orientable surface of genus 4. As a base step in the construction we use a counterexample to the unified Hanani-Tutte theorem on the torus. The result was obtained together with Radoslav Fulek.
Extent	20 minutes
Subject	Mathematics; Combinatorics; Computer science; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Charles University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-04-10
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0365302
URI	http://hdl.handle.net/2429/65254
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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