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AAIM
2009
Springer
105views Algorithms» more  AAIM 2009»
14 years 3 months ago
On Acyclicity of Games with Cycles
We study restricted improvement cycles (ri-cycles) in finite positional n-person games with perfect information modeled by directed graphs (digraphs) that may contain cycles. We o...
Daniel Andersson, Vladimir Gurvich, Thomas Dueholm...
GC
2008
Springer
13 years 8 months ago
Almost Given Length Cycles in Digraphs
For a directed graph G without loops or parallel edges, let (G) denote the size of the smallest feedback arc set, i.e., the smallest subset X E(G) such that G \ X has no directed...
Raphael Yuster
DM
2006
84views more  DM 2006»
13 years 8 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...
CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 8 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin
CPC
2008
48views more  CPC 2008»
13 years 8 months ago
Linkedness and Ordered Cycles in Digraphs
Daniela Kühn, Deryk Osthus