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» Mapping planar graphs into the Coxeter graph
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CORR
2007
Springer
132views Education» more  CORR 2007»
14 years 9 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
COMGEO
2007
ACM
14 years 9 months ago
On simultaneous planar graph embeddings
We consider the problem of simultaneous embedding of planar graphs. There are two variants of this problem, one in which the mapping between the vertices of the two graphs is given...
Peter Braß, Eowyn Cenek, Christian A. Duncan...
GC
2010
Springer
14 years 8 months ago
20 Years of Negami's Planar Cover Conjecture
In 1988, Seiya Negami published a conjecture stating that a graph G has a finite planar cover (i.e. a homomorphism from some planar graph onto G which maps the vertex neighbourhoo...
Petr Hlinený
CORR
2007
Springer
130views Education» more  CORR 2007»
14 years 9 months ago
On Computing the Distinguishing Numbers of Planar Graphs and Beyond: a Counting Approach
A vertex k-labeling of graph G is distinguishing if the only automorphism that preserves the labels of G is the identity map. The distinguishing number of G, D(G), is the smallest...
Vikraman Arvind, Christine T. Cheng, Nikhil R. Dev...
COMPGEOM
2006
ACM
15 years 3 months ago
Optimal succinct representations of planar maps
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...