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JCT
2006
92views more  JCT 2006»
13 years 8 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
COMBINATORICA
2007
81views more  COMBINATORICA 2007»
13 years 8 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»
13 years 8 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...
NETWORKS
2002
13 years 8 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...