63 search results - page 3 / 13 » Embedding Spanning Trees in Random Graphs |
SODA
2012
ACM
11 years 10 months ago
2012
ACM
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
FOCS
2009
IEEE
14 years 2 months ago
2009
IEEE
In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is wi...
COMBINATORICS
2000
13 years 7 months ago
2000
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...
SODA
2004
ACM
13 years 9 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 ...
FOCS
1998
IEEE
14 years 13 hour ago
1998
IEEE
We consider the parametric minimum spanning tree problem, in which we are given a graph with edge weights that are linear functions of a parameter and wish to compute the sequenc...