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» On Embedding a Graph on Two Sets of Points
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GD
2009
Springer
15 years 2 months ago
Manhattan-Geodesic Embedding of Planar Graphs
In this paper, we explore a new convention for drawing graphs, the (Manhattan-) geodesic drawing convention. It requires that edges are drawn as interior-disjoint monotone chains o...
Bastian Katz, Marcus Krug, Ignaz Rutter, Alexander...
SIAMJO
2008
144views more  SIAMJO 2008»
14 years 9 months ago
Embedded in the Shadow of the Separator
Eigenvectors to the second smallest eigenvalue of the Laplace matrix of a graph, also known as Fiedler vectors, are the basic ingredient in spectral graph partitioning heuristics....
Frank Göring, Christoph Helmberg, Markus Wapp...
COMGEO
2012
ACM
13 years 5 months ago
Point-set embeddings of plane 3-trees
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...
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SIAMDM
2008
90views more  SIAMDM 2008»
14 years 9 months ago
The Nine Morse Generic Tetrahedra
From computational geometry comes the notion of a Gabriel graph of a point set in the plane. The Gabriel graph consists of those edges connecting two points of the point set such t...
D. Siersma, M. van Manen
PR
2007
141views more  PR 2007»
14 years 9 months ago
A Riemannian approach to graph embedding
In this paper, we make use of the relationship between the Laplace–Beltrami operator and the graph Laplacian, for the purposes of embedding a graph onto a Riemannian manifold. T...
Antonio Robles-Kelly, Edwin R. Hancock