Sciweavers

9 search results - page 1 / 2
» Straight line embeddings of cubic planar graphs with integer...
Sort
View
JGT
2008
74views more  JGT 2008»
13 years 4 months ago
Straight line embeddings of cubic planar graphs with integer edge lengths
We prove that every simple cubic planar graph admits a planar embedding such that each edge is embedded as a straight line segment of integer length.
Jim Geelen, Anjie Guo, David McKinnon
CORR
2008
Springer
141views Education» more  CORR 2008»
13 years 5 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
DAM
2011
12 years 12 months ago
Untangling planar graphs from a specified vertex position - Hard cases
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an ...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
GD
2009
Springer
13 years 9 months ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...
JGT
2010
158views more  JGT 2010»
13 years 3 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran