19 search results - page 2 / 4 » Finding the k Smallest Spanning Trees |
ALGORITHMICA
2010
13 years 5 months ago
2010
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...
SODA
2004
ACM
13 years 6 months ago
2004
ACM
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 ...
DIALM
2008
ACM
13 years 7 months ago
2008
ACM
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}...
SIAMDM
2008
13 years 5 months ago
2008
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...
FOCS
2008
IEEE
13 years 11 months ago
2008
IEEE
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...