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» Hamilton cycles in random lifts of graphs
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DM
2002
78views more  DM 2002»
13 years 5 months ago
Hamilton cycles in random subgraphs of pseudo-random graphs
Alan M. Frieze, Michael Krivelevich
SIAMDM
2010
102views more  SIAMDM 2010»
13 years 12 hour 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»
13 years 3 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»
13 years 2 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...
RSA
2002
81views more  RSA 2002»
13 years 4 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