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» Bounds of Graph Characteristics
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COMPGEOM
2003
ACM
14 years 1 months ago
Loops in reeb graphs of 2-manifolds
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
DM
2008
114views more  DM 2008»
13 years 8 months ago
Subdivisions of graphs: A generalization of paths and cycles
One of the basic results in graph theory is Dirac's theorem, that every graph of order n 3 and minimum degree n/2 is Hamiltonian. This may be restated as: if a graph of ord...
Ch. Sobhan Babu, Ajit A. Diwan
CORR
2004
Springer
108views Education» more  CORR 2004»
13 years 8 months ago
The lattice dimension of a graph
The Fibonacci dimension fdim(G) of a graph G is introduced as the smallest integer f such that G admits an isometric embedding into f , the f-dimensional Fibonacci cube. We give b...
David Eppstein
GC
2010
Springer
13 years 6 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
TVCG
2010
141views more  TVCG 2010»
13 years 6 months ago
Fast Construction of k-Nearest Neighbor Graphs for Point Clouds
—We present a parallel algorithm for k-nearest neighbor graph construction that uses Morton ordering. Experiments show that our approach has the following advantages over existin...
Michael Connor, Piyush Kumar