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COMBINATORICS
2004
14 years 9 months ago
2004
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...
75
Voted
GC
2008
Springer
14 years 9 months ago
2008
Springer
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...
78
Voted
COMPGEOM
2009
ACM
15 years 4 months ago
2009
ACM
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...
ALGORITHMICA
2005
14 years 9 months ago
2005
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...
88
Voted
APPROX
2008
Springer
14 years 11 months ago
2008
Springer
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...