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IM
2008
15 years 6 months ago
The Structure of Geographical Threshold Graphs
We analyze the structure of random graphs generated by the geographical threshold model. The model is a generalization of random geometric graphs. Nodes are distributed in space, a...
Milan Bradonjic, Aric A. Hagberg, Allon G. Percus
JCT
2008
70views more  JCT 2008»
15 years 6 months ago
Connectivity keeping edges in graphs with large minimum degree
The old well-known result of Chartrand, Kaugars and Lick [1] says that every k-connected graph G with minimum degree at least 3k/2 has a vertex v such that G - v is still k-connec...
Shinya Fujita, Ken-ichi Kawarabayashi
ICCV
2007
IEEE
16 years 8 months ago
Uninitialized, Globally Optimal, Graph-Based Rectilinear Shape Segmentation The Opposing Metrics Method
We present a new approach for the incorporation of shape information into a segmentation algorithm. Unlike previous approaches to the problem, our method requires no initializatio...
Ali Kemal Sinop, Leo Grady
ICIP
2008
IEEE
16 years 8 months ago
Partial difference equations on graphs for Mathematical Morphology operators over images and manifolds
The main tools of Mathematical Morphology are a broad class of nonlinear image operators. They can be defined in terms of algebraic set operators or as Partial Differential Equati...
Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezora...
GIS
2006
ACM
16 years 7 months ago
On-line maintenance of simplified weighted graphs for efficient distance queries
We give two efficient on-line algorithms to simplify weighted graphs by eliminating degree-two vertices. Our algorithms are on-line -- they react to updates on the data, keeping t...
Floris Geerts, Peter Z. Revesz, Jan Van den Bussch...