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» Convex Drawings of 3-Connected Plane Graphs
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DCG
2011
13 years 2 months 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 7 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
14 years 1 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 7 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 8 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