Cycle packing

In the 1960s, Erdős and Gallai conjectured that the edge set of every graph on n vertices can be partitioned into O(n) cycles and edges. They observed that one can easily get an O(nlogn) upper bound by repeatedly removing the edges of the longest cycle. We make the first progress on this problem, sh...

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Bibliographic Details
Main Authors: Conlon, David, Fox, Jacob, Sudakov, Benny
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Wiley-VCH Verlag GmbH & Co. 2015
Online Access:http://hdl.handle.net/1721.1/92862