204 search results - page 5 / 41 » Packing vertices and edges in random regular graphs |
COMBINATORICS
2007
14 years 9 months ago
2007
Let G = (V, E) be any d-regular graph with girth g on n vertices, for d ≥ 3. This note shows that G has a maximum matching which includes all but an exponentially small fraction...
77
Voted
STOC
2003
ACM
15 years 10 months ago
2003
ACM
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
SIAMDM
2010
14 years 4 months ago
2010
We prove that if T is a tree on n vertices with maximum degree and the edge probability p(n) satisfies: np C max{ log n, n } for some constant > 0, then with high probability...
CORR
2011
Springer
14 years 4 months ago
2011
Springer
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
ESA
2001
Springer
15 years 2 months ago
2001
Springer
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...