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» Mapping planar graphs into the Coxeter graph
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CVPR
2010
IEEE
15 years 6 months ago
Beyond Trees: MRF Inference via Outer-Planar Decomposition
Maximum a posteriori (MAP) inference in Markov Random Fields (MRFs) is an NP-hard problem, and thus research has focussed on either finding efficiently solvable subclasses (e.g. t...
Dhruv Batra, Andrew Gallagher, Devi Parikh, Tsuhan...
COMBINATORICS
2000
124views more  COMBINATORICS 2000»
14 years 9 months ago
Colouring Planar Mixed Hypergraphs
A mixed hypergraph is a triple H = (V, C, D) where V is the vertex set and C and D are families of subsets of V , the C-edges and D-edges, respectively. A k-colouring of H is a ma...
André Kündgen, Eric Mendelsohn, Vitaly...
CCCG
2009
14 years 10 months ago
On Directed Graphs with an Upward Straight-line
In this paper we study the problem of computing an upward straight-line embedding of a directed graph G into a point set S, i.e. a planar drawing of G such that each vertex is map...
Carla Binucci, Emilio Di Giacomo, Walter Didimo, A...
DCG
2007
102views more  DCG 2007»
14 years 9 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...
COMGEO
2012
ACM
13 years 5 months ago
Point-set embeddings of plane 3-trees
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...