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» On the Number of Cycles in Planar Graphs
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COCOON
2007
Springer
16 years 10 days ago
Colored Simultaneous Geometric Embeddings
We introduce the concept of colored simultaneous geometric embeddings as a generalization of simultaneous graph embeddings with and without mapping. We show that there exists a uni...
Ulrik Brandes, Cesim Erten, J. Joseph Fowler, Fabr...
WADS
1993
Springer
110views Algorithms» more  WADS 1993»
15 years 10 months ago
A Dynamic Separator Algorithm
Our work is based on the pioneering work in sphere separators done by Miller, Teng, Vavasis et al, [8, 12], who gave efficient static (fixed input) algorithms for finding sphere ...
Deganit Armon, John H. Reif
COMPGEOM
2004
ACM
15 years 11 months ago
Single-strip triangulation of manifolds with arbitrary topology
Triangle strips have been widely used for efficient rendering. It is NP-complete to test whether a given triangulated model can be represented as a single triangle strip, so many...
David Eppstein, M. Gopi
DM
2011
253views Education» more  DM 2011»
15 years 1 months ago
On the hyperbolicity constant in graphs
If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X. The space X is δ-hy...
José M. Rodríguez, Jose Maria Sigarr...
SI3D
2003
ACM
15 years 11 months ago
Large haptic topographic maps: marsview and the proxy graph algorithm
In this paper we develop an interactive 3D browser for large topographic maps using a visual display augmented by a haptic, or force feedback, display. The extreme size of our dat...
Sean P. Walker, John Kenneth Salisbury Jr.