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DM
2008
58views more  DM 2008»
13 years 8 months ago
The vertex isoperimetric problem for the powers of the diamond graph
We introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has nested solutions. This is the fourth kind of graphs with this property besides the wel...
Sergei L. Bezrukov, Miquel Rius, Oriol Serra
DM
2002
92views more  DM 2002»
13 years 8 months ago
A local-global principle for vertex-isoperimetric problems
We consider the vertex-isoperimetric problem for cartesian powers of a graph G. A total order on the vertex set of G is called isoperimetric if the boundary of sets of a given siz...
Sergei L. Bezrukov, Oriol Serra
PAMI
2006
137views more  PAMI 2006»
13 years 8 months ago
Isoperimetric Graph Partitioning for Image Segmentation
Spectral graph partitioning provides a powerful approach to image segmentation. We introduce an alternate idea that finds partitions with a small isoperimetric constant, requiring ...
Leo Grady, Eric L. Schwartz
WG
2001
Springer
14 years 25 days ago
Edge-Isoperimetric Problems for Cartesian Powers of Regular Graphs
We consider an edge-isoperimetric problem (EIP) on the cartesian powers of graphs. One of our objectives is to extend the list of graphs for whose cartesian powers the lexicograph...
Sergei L. Bezrukov, Robert Elsässer
STOC
2010
ACM
269views Algorithms» more  STOC 2010»
14 years 15 days ago
Approximations for the Isoperimetric and Spectral Profile of Graphs and Related Parameters
The spectral profile of a graph is a natural generalization of the classical notion of its Rayleigh quotient. Roughly speaking, given a graph G, for each 0 < < 1, the spect...
Prasad Raghavendra, David Steurer and Prasad Tetal...