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» On the Maximum Number of Cliques in a Graph
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STOC
2005
ACM
135views Algorithms» more  STOC 2005»
16 years 7 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
ICML
2007
IEEE
16 years 7 months ago
Efficient inference with cardinality-based clique potentials
Many collective labeling tasks require inference on graphical models where the clique potentials depend only on the number of nodes that get a particular label. We design efficien...
Rahul Gupta, Ajit A. Diwan, Sunita Sarawagi
COMPGEOM
2006
ACM
16 years 19 days ago
On the maximum number of edges in topological graphs with no four pairwise crossing edges
A topological graph is called k-quasi-planar, if it does not contain k pairwise crossing edges. It is conjectured that for every fixed k, the maximum number of edges in a kquasi-...
Eyal Ackerman
ENDM
2008
81views more  ENDM 2008»
15 years 6 months ago
The maximum number of halving lines and the rectilinear crossing number of Kn for n
For n 27 we present exact values for the maximum number h(n) of halving lines and h(n) of halving pseudolines, determined by n points in the plane. For this range of values of n ...
Bernardo M. Ábrego, Silvia Fernández...
CORR
2010
Springer
66views Education» more  CORR 2010»
15 years 6 months ago
The overlap number of a graph
An overlap representation is an assignment of sets to the vertices of a graph in such a way that two vertices are adjacent if and only if the sets assigned to them overlap. The ov...
Bill Rosgen, Lorna Stewart