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» On the hyperbolicity constant in graphs
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SIAMDM
2010
194views more  SIAMDM 2010»
14 years 6 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»
14 years 11 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
13 years 7 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»
15 years 1 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»
14 years 11 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