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DM
2011
192views Education» more  DM 2011»
14 years 6 months 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»
14 years 11 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
16 years 9 months ago
Graph Theory
A well-written book about graph theory.
Reinhard Diestel
RSA
2010
99views more  RSA 2010»
14 years 10 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
15 years 5 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