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» A Semiexact Degree Condition for Hamilton Cycles in Digraphs
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SIAMDM
2010
103views more  SIAMDM 2010»
13 years 9 months ago
A Semiexact Degree Condition for Hamilton Cycles in Digraphs
Demetres Christofides, Peter Keevash, Daniela K&uu...
DM
2006
84views more  DM 2006»
13 years 11 months ago
Hamilton cycles in digraphs of unitary matrices
We conjecture new sufficient conditions for a digraph to have a Hamilton cycle. In view of applications, the conjecture is of interest in the areas where unitary matrices are of i...
Gregory Gutin, Arash Rafiey, Simone Severini, Ande...
DM
2008
68views more  DM 2008»
13 years 11 months ago
Heavy cycles in k-connected weighted graphs with large weighted degree sums
A weighted graph is one in which every edge e is assigned a nonnegative number w(e), called the weight of e. The weight of a cycle is defined as the sum of the weights of its edge...
Bing Chen, Shenggui Zhang, T. C. Edwin Cheng
DM
2002
95views more  DM 2002»
13 years 10 months ago
On the superconnectivity of generalized p-cycles
A generalized p-cycle is a digraph whose set of vertices can be partitioned into p parts that are cyclically ordered in such a way that the vertices in one part are adjacent only ...
Camino Balbuena, Ignacio M. Pelayo, J. Góme...
JCT
2010
110views more  JCT 2010»
13 years 9 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