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APVIS
2007
15 years 7 months ago
Straight-line grid drawings of planar graphs with linear area
A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segm...
Md. Rezaul Karim, Md. Saidur Rahman
ESA
2010
Springer
136views Algorithms» more  ESA 2010»
15 years 7 months ago
Fast Minor Testing in Planar Graphs
Minor containment is a fundamental problem in Algorithmic Graph Theory, as numerous graph algorithms use it as a subroutine. A model of a graph H in a graph G is a set of disjoint ...
Isolde Adler, Frederic Dorn, Fedor V. Fomin, Ignas...
JCT
2008
65views more  JCT 2008»
15 years 6 months ago
Random graphs on surfaces
Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these invest...
Colin McDiarmid
CORR
2010
Springer
198views Education» more  CORR 2010»
15 years 3 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
COMGEO
2011
ACM
15 years 1 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...