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» Subgraph Isomorphism in Planar Graphs and Related Problems
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WADS
2009
Springer
281views Algorithms» more  WADS 2009»
15 years 10 months ago
The Simultaneous Representation Problem for Chordal, Comparability and Permutation Graphs
Abstract. We introduce the simultaneous representation problem, defined for any graph class C characterized in terms of representations, e.g. any class of intersection graphs. Two...
Krishnam Raju Jampani, Anna Lubiw
GD
2003
Springer
15 years 9 months ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov
JDA
2007
97views more  JDA 2007»
15 years 3 months ago
Local solutions for global problems in wireless networks
In this paper, we review a recently developed class of algorithms that solve global problems in unit distance wireless networks by means of local algorithms. A local algorithm is ...
Jorge Urrutia
ALT
2007
Springer
15 years 8 months ago
Cluster Identification in Nearest-Neighbor Graphs
Abstract. Assume we are given a sample of points from some underlying distribution which contains several distinct clusters. Our goal is to construct a neighborhood graph on the sa...
Markus Maier, Matthias Hein, Ulrike von Luxburg
CORR
2010
Springer
90views Education» more  CORR 2010»
15 years 4 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky