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» On Embedding a Graph on Two Sets of Points
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COMGEO
2011
ACM
14 years 4 months ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
FOCS
1995
IEEE
15 years 1 months ago
Disjoint Paths in Densely Embedded Graphs
We consider the following maximum disjoint paths problem (mdpp). We are given a large network, and pairs of nodes that wish to communicate over paths through the network — the g...
Jon M. Kleinberg, Éva Tardos
CCCG
2007
14 years 11 months ago
On Bus Graph Realizability
In this paper, we consider the following graph embedding problem: Given a bipartite graph G = (V1, V2; E), where the maximum degree of vertices in V2 is 4, can G be embedded on a t...
Anil Ada, Melanie Coggan, Paul Di Marco, Alain Doy...
ICDM
2005
IEEE
165views Data Mining» more  ICDM 2005»
15 years 3 months ago
A Bernoulli Relational Model for Nonlinear Embedding
The notion of relations is extremely important in mathematics. In this paper, we use relations to describe the embedding problem and propose a novel stochastic relational model fo...
Gang Wang, Hui Zhang, Zhihua Zhang, Frederick H. L...
IPL
2008
104views more  IPL 2008»
14 years 9 months ago
A note on harmonic subgraphs in labelled geometric graphs
Let S be a set of n points in general position in the plane, labelled bijectively with the integers {0, 1, . . ., n - 1}. Each edge (the straight segment that joins two points) is...
Gabriela Araujo, József Balogh, Ruy Fabila ...