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» On 2-factors with k components
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DM
2008
77views more  DM 2008»
13 years 5 months ago
On 2-factors with k components
Gábor N. Sárközy
COMBINATORICS
2002
82views more  COMBINATORICS 2002»
13 years 4 months ago
The Directed Anti-Oberwolfach Solution: Pancyclic 2-Factorizations of Complete Directed Graphs of Odd Order
The directed anti-Oberwolfach problem asks for a 2-factorization (each factor has in-degree 1 and out-degree 1 for a total degree of two) of K2n+1, not with consistent cycle compo...
Brett Stevens
DM
2007
149views more  DM 2007»
13 years 4 months ago
Even subgraphs of bridgeless graphs and 2-factors of line graphs
By Petersen’s theorem, a bridgeless cubic multigraph has a 2-factor. H. Fleischner generalised this result to bridgeless multigraphs of minimum degree at least three by showing ...
Bill Jackson, Kiyoshi Yoshimoto
JGT
2010
83views more  JGT 2010»
13 years 3 months ago
Forbidden subgraphs and the existence of a 2-factor
In 1996, Ota and Tokuda showed that a star-free graph with sufficiently high minimum degree admits a 2-factor. More recently it was shown that the minimum degree condition can be ...
Robert E. L. Aldred, Jun Fujisawa, Akira Saito