Change search
ReferencesLink to record
Permanent link

Direct link
Complexes of t-colorable graphs
2003 (English)In: SIAM Journal on Discrete Mathematics, ISSN 0895-4801, E-ISSN 1095-7146, Vol. 16, no 3, 371-389 p.Article in journal (Refereed) Published
Abstract [en]

We study the simplicial complex of t-colorable graphs on n vertices. We prove this complex is homotopy equivalent to a wedge of spheres all of dimension n(t - 1) - ((t)(2)) - 1 when t = 2 and when t greater than or equal to n - 3. We show that such a homotopy equivalence does not hold for general t and n.

Place, publisher, year, edition, pages
2003. Vol. 16, no 3, 371-389 p.
Keyword [en]
monotone graph property, chromatic number, discrete Morse theory, morse-theory, chessboard complexes, matching complexes, connected graphs, homology
URN: urn:nbn:se:kth:diva-22705ISI: 000184453400004OAI: diva2:341403
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Linusson, Svante
In the same journal
SIAM Journal on Discrete Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 6 hits
ReferencesLink to record
Permanent link

Direct link