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SIAMDM
2010
110views more  SIAMDM 2010»
13 years 7 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 11 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»
14 years 12 days 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 2 months 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 2 months 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