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ALGORITHMICA
2011
13 years 3 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar
WAOA
2005
Springer
170views Algorithms» more  WAOA 2005»
14 years 2 months ago
On Approximating Restricted Cycle Covers
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set...
Bodo Manthey
JACM
2007
121views more  JACM 2007»
13 years 8 months ago
(Almost) Tight bounds and existence theorems for single-commodity confluent flows
A flow of a commodity is said to be confluent if at any node all the flow of the commodity leaves along a single edge. In this paper we study single-commodity confluent flow pro...
Jiangzhuo Chen, Robert D. Kleinberg, Lászl&...
EJC
2006
13 years 8 months ago
3-star factors in random d-regular graphs
The small subgraph conditioning method first appeared when Robinson and the second author showed the almost sure hamiltonicity of random d-regular graphs. Since then it has been u...
Hilda Assiyatun, Nicholas C. Wormald
FOCS
2008
IEEE
14 years 3 months ago
Noise Tolerance of Expanders and Sublinear Expander Reconstruction
We consider the problem of online sublinear expander reconstruction and its relation to random walks in “noisy” expanders. Given access to an adjacency list representation of ...
Satyen Kale, Yuval Peres, C. Seshadhri