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DM
2011
192views Education» more  DM 2011»
13 years 23 days ago
Loose Hamilton cycles in hypergraphs
We prove that any k-uniform hypergraph on n vertices with minimum degree at least n 2(k−1) + o(n) contains a loose Hamilton cycle. The proof strategy is similar to that used by K...
Peter Keevash, Daniela Kühn, Richard Mycroft,...
DM
1998
76views more  DM 1998»
13 years 5 months ago
Automorphism groups with cyclic commutator subgroup and Hamilton cycles
It has been shown that there is a Hamilton cycle in every connected Cayley graph on any group G whose commutator subgroup is cyclic of prime-power order. This note considers conne...
Edward Dobson, Heather Gavlas, Joy Morris, Dave Wi...

Book
1174views
15 years 3 months ago
Graph Theory
A well-written book about graph theory.
Reinhard Diestel
RSA
2010
99views more  RSA 2010»
13 years 4 months ago
Hamiltonicity thresholds in Achlioptas processes
In this paper we analyze the appearance of a Hamilton cycle in the following random process. The process starts with an empty graph on n labeled vertices. At each round we are pre...
Michael Krivelevich, Eyal Lubetzky, Benny Sudakov
COCOON
2003
Springer
13 years 11 months ago
Fault-Hamiltonicity of Product Graph of Path and Cycle
We investigate hamiltonian properties of Pm × Cn, m ≥ 2 and even n ≥ 4, which is bipartite, in the presence of faulty vertices and/or edges. We show that Pm×Cn with n even is...
Jung-Heum Park, Hee-Chul Kim