11 search results - page 1 / 3 » Local resilience of almost spanning trees in random graphs |
RSA
2011
12 years 11 months ago
2011
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
SODA
2012
ACM
11 years 7 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 ...
ICML
2010
IEEE
13 years 5 months ago
2010
IEEE
We show that the mistake bound for predicting the nodes of an arbitrary weighted graph is characterized (up to logarithmic factors) by the cutsize of a random spanning tree of the...
GECCO
2007
Springer
13 years 10 months ago
2007
Springer
The Blob Code is a bijective tree code that represents each tree on n labelled vertices as a string of n − 2 vertex labels. In recent years, several researchers have deployed th...
RSA
2010
13 years 3 months ago
2010
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...