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JCT
2006
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14 years 10 months ago
Classification of small (0, 2)-graphs
We find the graphs of valency at most 7 with the property that any two nonadjacent vertices have either 0 or 2 common neighbours. In particular, we find all semibiplanes of block ...
Andries E. Brouwer
84
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COMBINATORICA
2007
81views more  COMBINATORICA 2007»
14 years 10 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo
EM
2010
155views Management» more  EM 2010»
14 years 10 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
83
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NETWORKS
2002
14 years 9 months ago
Superconnected digraphs and graphs with small conditional diameters
The conditional diameter D of a digraph G measures how far apart a pair of vertex sets V1 and V2 can be in such a way that the minimum out-degree and the minimum in-degree of the ...
Camino Balbuena, Josep Fàbrega, Xavier Marc...