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SIAMDM
2010
110views more  SIAMDM 2010»
13 years 5 months ago
Embedding Spanning Trees in Random Graphs
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...
Michael Krivelevich
RSA
2010
113views more  RSA 2010»
13 years 9 months ago
The order of the giant component of random hypergraphs
We establish central and local limit theorems for the number of vertices in the largest component of a random d-uniform hypergraph Hd(n, p) with edge probability p = c/ n−1 d−1...
Michael Behrisch, Amin Coja-Oghlan, Mihyun Kang
ENDM
2007
74views more  ENDM 2007»
13 years 10 months ago
The order of the largest complete minor in a random graph
Let ccl(G) denote the order of the largest complete minor in a graph G (also called the contraction clique number) and let Gn,p denote a random graph on n vertices with edge probab...
Nikolaos Fountoulakis, Daniela Kühn, Deryk Os...
DIALM
2008
ACM
179views Algorithms» more  DIALM 2008»
14 years 20 days ago
Distance graphs: from random geometric graphs to Bernoulli graphs and between
A random geometric graph G(n, r) is a graph resulting from placing n points uniformly at random on the unit area disk, and connecting two points iff their Euclidean distance is at ...
Chen Avin
ICCV
1998
IEEE
15 years 24 days ago
A Probabilistic Framework for Edge Detection and Scale Selection
We devise a statistical framework for edge detection by performing a statistical analysis of zero crossings of the second derivative of an image. This analysis enables us to estim...
David H. Marimont, Yossi Rubner