Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Electronic Research Announcements
Electronic Research Announcements
ISSN 1079-6762

 

Cobounding odd cycle colorings


Author: Dmitry N. Kozlov
Journal: Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 53-55
MSC (2000): Primary 55M35; Secondary 05C15, 57S17
Published electronically: May 10, 2006
MathSciNet review: 2226524
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that the $ (n-2)$nd power of the Stiefel-Whitney class of the space of all $ n$-colorings of an odd cycle is 0 by presenting a cochain whose coboundary is the desired power of the class. This gives a very short self-contained combinatorial proof of a conjecture by Babson and the author.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Electronic Research Announcements of the American Mathematical Society with MSC (2000): 55M35, 05C15, 57S17

Retrieve articles in all journals with MSC (2000): 55M35, 05C15, 57S17


Additional Information

Dmitry N. Kozlov
Affiliation: Institute of Theoretical Computer Science, ETH Zürich, Switzerland
Email: dkozlov@inf.ethz.ch

DOI: http://dx.doi.org/10.1090/S1079-6762-06-00161-2
PII: S 1079-6762(06)00161-2
Received by editor(s): March 15, 2006
Published electronically: May 10, 2006
Additional Notes: Research supported by Swiss National Science Foundation Grant PP002-102738/1
Communicated by: Sergey Fomin
Article copyright: © Copyright 2006 American Mathematical Society