Sciweavers

43 search results - page 4 / 9
» Cycles of given length in oriented graphs
Sort
View
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 7 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
GC
2008
Springer
13 years 7 months ago
A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations
Gioan showed that the number of cycle reversing classes of totally cyclic orientations of a given graph can be calculated as an evaluation of the corresponding Tutte polynomial. We...
Beifang Chen, Arthur L. B. Yang, Terence Y. J. Zha...
COMPGEOM
2009
ACM
14 years 2 months ago
Minimum cuts and shortest homologous cycles
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 7 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
13 years 9 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov