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» On the hyperbolicity constant in graphs
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SIAMDM
2010
194views more  SIAMDM 2010»
13 years 2 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...
PAMI
2006
137views more  PAMI 2006»
13 years 7 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
COMGEO
2012
ACM
12 years 3 months ago
Algorithms for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n embedded in a surface of genus g, orientable or not. We describe improved algorithms to compute a shortest non-contractible and a shor...
Sergio Cabello, Éric Colin de Verdiè...
ESA
2008
Springer
102views Algorithms» more  ESA 2008»
13 years 9 months ago
Succinct Representations of Arbitrary Graphs
Abstract. We consider the problem of encoding a graph with n vertices and m edges compactly supporting adjacency, neighborhood and degree queries in constant time in the log n-bit ...
Arash Farzan, J. Ian Munro
DAM
2007
77views more  DAM 2007»
13 years 7 months ago
Decompositions of graphs of functions and fast iterations of lookup tables
We show that every function f implemented as a lookup table can be implemented such that the computational complexity of evaluating f m(x) is small, independently of m and x. The ...
Boaz Tsaban