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» Hamilton cycles in random lifts of graphs
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DM
2002
78views more  DM 2002»
14 years 11 months ago
Hamilton cycles in random subgraphs of pseudo-random graphs
Alan M. Frieze, Michael Krivelevich
SIAMDM
2010
102views more  SIAMDM 2010»
14 years 6 months ago
Hamilton Cycles in Random Graphs with a Fixed Degree Sequence
Let d = d1 d2
Colin Cooper, Alan M. Frieze, Michael Krivelevich
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
CPC
2010
117views more  CPC 2010»
14 years 9 months ago
On the Number of Perfect Matchings in Random Lifts
Let G be a fixed connected multigraph with no loops. A random n-lift of G is obtained by replacing each vertex of G by a set of n vertices (where these sets are pairwise disjoint)...
Catherine S. Greenhill, Svante Janson, Andrzej Ruc...
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RSA
2002
81views more  RSA 2002»
14 years 11 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou