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» A study of 3-arc graphs
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COMGEO
2010
ACM
15 years 6 months ago
Mixed volume techniques for embeddings of Laman graphs
We use Bernstein's Theorem [1] to obtain combinatorial bounds for the number of embeddings of Laman graph frameworks modulo rigid motions. For this, we study the mixed volume...
Reinhard Steffens, Thorsten Theobald
COMBINATORICS
2006
135views more  COMBINATORICS 2006»
15 years 6 months ago
Drawing a Graph in a Hypercube
A d-dimensional hypercube drawing of a graph represents the vertices by distinct points in {0, 1}d, such that the line-segments representing the edges do not cross. We study lower...
David R. Wood
EJC
2006
15 years 6 months ago
Improving diameter bounds for distance-regular graphs
In this paper we study the sequence (ci)0id for a distance-regular graph. In particular we show that if d 2j and cj = c > 1 then c2j > c holds. Using this we give improveme...
Sejeong Bang, Akira Hiraki, Jacobus H. Koolen
IM
2006
15 years 6 months ago
Protean Graphs
We propose a new random model of web graphs in which the degree of a vertex depends on its age. We characterize the degree sequence of this model and study its behaviour near the c...
Tomasz Luczak, Pawel Pralat
RSA
2006
69views more  RSA 2006»
15 years 6 months ago
On smoothed analysis in dense graphs and formulas
: We study a model of random graphs, where a random instance is obtained by adding random edges to a large graph of a given density. The research on this model has been started by ...
Michael Krivelevich, Benny Sudakov, Prasad Tetali