Sciweavers

19 search results - page 2 / 4
» Finding the k Smallest Spanning Trees
Sort
View
76
Voted
ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
14 years 9 months ago
On Sorting, Heaps, and Minimum Spanning Trees
Let A be a set of size m. Obtaining the first k m elements of A in ascending order can be done in optimal O(m + k log k) time. We present Incremental Quicksort (IQS), an algorith...
Gonzalo Navarro, Rodrigo Paredes
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
14 years 11 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
DIALM
2008
ACM
135views Algorithms» more  DIALM 2008»
14 years 11 months ago
Symmetric range assignment with disjoint MST constraints
If V is a set of n points in the unit square [0, 1]2 , and if R : V + is an assignment of positive real numbers (radii) to to those points, define a graph G(R) as follows: {v, w}...
Eric Schmutz
SIAMDM
2008
139views more  SIAMDM 2008»
14 years 9 months ago
Approximate Integer Decompositions for Undirected Network Design Problems
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Chandra Chekuri, F. Bruce Shepherd
FOCS
2008
IEEE
15 years 4 months ago
Degree Bounded Network Design with Metric Costs
Given a complete undirected graph, a cost function on edges and a degree bound B, the degree bounded network design problem is to find a minimum cost simple subgraph with maximum...
Yuk Hei Chan, Wai Shing Fung, Lap Chi Lau, Chun Ko...