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» 2-Factors in Hamiltonian Graphs
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JCT
2006
64views more  JCT 2006»
13 years 7 months ago
Every 3-connected, essentially 11-connected line graph is Hamiltonian
Thomassen conjectured that every 4-connected line graph is hamiltonian. A vertex cut X of G is essential if G-X has at least two nontrivial components. We prove that every 3-conne...
Hong-Jian Lai, Yehong Shao, Hehui Wu, Ju Zhou
TCS
2010
13 years 5 months ago
A comprehensive analysis of degree based condition for Hamiltonian cycles
— Rahman and Kaykobad introduced a shortest distance based condition for finding the existence of Hamiltonian paths in graphs as follows: Let G be a connected graph with n vertic...
Md. Kamrul Hasan, Mohammad Kaykobad, Young-Koo Lee...
JUCS
2007
120views more  JUCS 2007»
13 years 7 months ago
Hamiltonicity of Topological Grid Graphs
: In this paper we study connectivity and hamiltonicity properties of the topological grid graphs, which are a natural type of planar graphs associated with finite subgraphs of th...
Christina Zamfirescu, Tudor Zamfirescu
JSYML
2010
95views more  JSYML 2010»
13 years 2 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey
WG
2009
Springer
14 years 2 months ago
Fast Exact Algorithms for Hamiltonicity in Claw-Free Graphs
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices of G. This problem is a classic NP-complete problem. So far, finding an exact al...
Hajo Broersma, Fedor V. Fomin, Pim van 't Hof, Dan...