214 search results - page 15 / 43 » Note on Sparse Random Graphs and Cover Graphs |
APPROX
2004
Springer
14 years 1 months ago
2004
Springer
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
MST
2010
13 years 6 months ago
2010
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
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 ...
ISTCS
1993
Springer
13 years 12 months ago
1993
Springer
This thesis introduces a model of a random walk on a colored undirected graph. Such a graph has a single vertex set and distinct sets of edges, each of which has a color. A par...
SPAA
1993
ACM
13 years 12 months ago
1993
ACM
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...