Computing sharp 2-factors in claw-free graphs


Share/Save/Bookmark

Broersma, H.J. and Paulusma, D. (2008) Computing sharp 2-factors in claw-free graphs. In: 33rd International Symposium on Mathematical Foundations of Computer Science, August 27-31, 2008, Torun, Poland.

[img]PDF
Restricted to UT campus only
: Request a copy
449Kb
Abstract:In a recently submitted paper we obtained an upper bound for the minimum number of components of a 2-factor in a claw-free graph. This bound is sharp in the sense that there exist infinitely many claw-free graphs for which the bound is tight. In this paper we extend these results by presenting a polynomial algorithm that constructs a 2-factor of a claw-free graph with minimum degree at least four whose number of components meets this bound. As a byproduct we show that the problem of obtaining a minimum 2-factor (if it exists) is polynomially solvable for a subclass of claw-free graphs. As another byproduct we give a short constructive proof for a result of Ryjáček, Saito & Schelp.
Item Type:Conference or Workshop Item
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:http://purl.utwente.nl/publications/62551
Official URL:http://dx.doi.org/10.1007/978-3-540-85238-4_15
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page

Metis ID: 254914