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APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
15 years 7 months ago
Eigenvectors of Random Graphs: Nodal Domains
We initiate a systematic study of eigenvectors of random graphs. Whereas much is known about eigenvalues of graphs and how they reflect properties of the underlying graph, relati...
Yael Dekel, James R. Lee, Nathan Linial
94
Voted
ICIP
2009
IEEE
16 years 1 months ago
Exploiting Local Structure For Tracking Plant Cells In Noisy Images
In this paper, we present a local graph matching based method for tracking cells and cell divisions in noisy images. We work with plant cells, where the cells are tightly clustere...
109
Voted
CAAN
2007
Springer
15 years 7 months ago
Vertex Pursuit Games in Stochastic Network Models
Abstract. Random graphs with given expected degrees G(w) were introduced by Chung and Lu so as to extend the theory of classical G(n, p) random graphs to include random power law g...
Anthony Bonato, Pawel Pralat, Changping Wang
105
Voted
COMBINATORICA
2007
117views more  COMBINATORICA 2007»
15 years 24 days ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov
84
Voted
ENDM
2007
74views more  ENDM 2007»
15 years 23 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...