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» On Touching Triangle Graphs
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CCCG
2007
13 years 8 months ago
Homothetic Triangle Contact Representations of Planar Graphs
In this paper we study the problem of computing homothetic triangle contact representations of planar graphs. Since not all planar graphs admit such a representation, we concentra...
Melanie Badent, Carla Binucci, Emilio Di Giacomo, ...
DAM
2007
82views more  DAM 2007»
13 years 7 months ago
Every toroidal graph without adjacent triangles is (4, 1)*-choosable
In this paper, a structural theorem about toroidal graphs is given that strengthens a result of Borodin on plane graphs. As a consequence, it is proved that every toroidal graph w...
Baogang Xu, Haihui Zhang
KDD
2009
ACM
204views Data Mining» more  KDD 2009»
14 years 7 months ago
DOULION: counting triangles in massive graphs with a coin
Counting the number of triangles in a graph is a beautiful algorithmic problem which has gained importance over the last years due to its significant role in complex network analy...
Charalampos E. Tsourakakis, U. Kang, Gary L. Mille...
CGF
2004
92views more  CGF 2004»
13 years 6 months ago
Para-Graph: Graph-Based Parameterization of Triangle Meshes with Arbitrary Genus
This paper describes a novel approach to the parameterization of triangle meshes representing 2-manifolds with an arbitrary genus. A topology-based decomposition of the shape is c...
Giuseppe Patanè, Michela Spagnuolo, Bianca ...
COMBINATORICA
2008
87views more  COMBINATORICA 2008»
13 years 7 months ago
Quasi-randomness and the distribution of copies of a fixed graph
We show that if a graph G has the property that all subsets of vertices of size n/4 contain the "correct" number of triangles one would expect to find in a random graph ...
Asaf Shapira