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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»
14 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
14 years 8 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
14 years 1 months 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»
13 years 7 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»
13 years 7 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