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» Pancyclicity of Hamiltonian and highly connected graphs
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JCT
2010
110views more  JCT 2010»
13 years 3 months ago
Pancyclicity of Hamiltonian and highly connected graphs
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
Peter Keevash, Benny Sudakov
GC
2010
Springer
13 years 2 months ago
Cycle Lengths in Hamiltonian Graphs with a Pair of Vertices Having Large Degree Sum
A graph of order n is said to be pancyclic if it contains cycles of all lengths from three to n. Let G be a hamiltonian graph and let x and y be vertices of G that are consecutive ...
Michael Ferrara, Michael S. Jacobson, Angela Harri...
HPCC
2007
Springer
13 years 11 months ago
On Pancyclicity Properties of OTIS Networks
The OTIS-Network (also referred to as two-level swapped network) is composed of n clones of an n-node original network constituting its clusters. It has received much attention due...
Mohammad R. Hoseinyfarahabady, Hamid Sarbazi-Azad
CORR
2010
Springer
60views Education» more  CORR 2010»
13 years 5 months ago
Hitting time results for Maker-Breaker games
We study Maker-Breaker games played on the edge set of a random graph. Specifically, we consider the random graph process and analyze the first time in a typical random graph proc...
Sonny Ben-Shimon, Asaf Ferber, Dan Hefetz, Michael...