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» On pancyclism in hamiltonian graphs
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IJFCS
2007
93views more  IJFCS 2007»
13 years 7 months ago
On Computing Longest Paths in Small Graph Classes
The longest path problem is to find a longest path in a given graph. While the graph classes in which the Hamiltonian path problem can be solved efficiently are widely investigat...
Ryuhei Uehara, Yushi Uno
DM
2008
110views more  DM 2008»
13 years 7 months ago
Contractible subgraphs, Thomassen's conjecture and the dominating cycle conjecture for snarks
We show that the conjectures by Matthews and Sumner (every 4-connected claw-free graph is hamiltonian), by Thomassen (every 4-connected line graph is hamiltonian) and by Fleischne...
Hajo Broersma, Gasper Fijavz, Tomás Kaiser,...
COMBINATORICS
2002
82views more  COMBINATORICS 2002»
13 years 7 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
SIAMDM
2010
91views more  SIAMDM 2010»
13 years 5 months ago
Resilient Pancyclicity of Random and Pseudorandom Graphs
Michael Krivelevich, Choongbum Lee, Benny Sudakov
CSR
2010
Springer
13 years 10 months ago
A SAT Based Effective Algorithm for the Directed Hamiltonian Cycle Problem
Abstract. The Hamiltonian cycle problem (HCP) is an important combinatorial problem with applications in many areas. While thorough theoretical and experimental analyses have been ...
Gerold Jäger, Weixiong Zhang