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» Convex Drawings of 3-Connected Plane Graphs
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DCG
2011
13 years 22 days ago
Small Grid Embeddings of 3-Polytopes
We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
Ares Ribó Mor, Günter Rote, Andr&eacut...
DCG
2007
102views more  DCG 2007»
13 years 5 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
SOFSEM
2007
Springer
13 years 12 months ago
Straightening Drawings of Clustered Hierarchical Graphs
In this paper we deal with making drawings of clustered hierarchical graphs nicer. Given a planar graph G = (V, E) with an assignment of the vertices to horizontal layers, a plane ...
Sergey Bereg, Markus Völker, Alexander Wolff,...
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...
SODA
2008
ACM
96views Algorithms» more  SODA 2008»
13 years 7 months ago
Greedy drawings of triangulations
Greedy Routing is a class of routing algorithms in which the packets are forwarded in a manner that reduces the distance to the destination at every step. In an attempt to provide...
Raghavan Dhandapani