Michael R. Fellows, Frances A. Rosamond, Udi Rotics, Stefan Szeider

Clique-width is a graph parameter, defined by a composition mechanism

for vertex-labeled graphs, which measures in a certain sense the

complexity of a graph. Hard graph problems (e.g., problems

expressible in Monadic Second Order Logic, that includes NP-hard

problems) can be solved efficiently for graphs of certified small

clique-width. It ...
more >>>

Michael R. Fellows, Frances A. Rosamond, Udi Rotics, Stefan Szeider

Clique-width is a graph parameter that measures in a certain sense the

complexity of a graph. Hard graph problems (e.g., problems

expressible in Monadic Second Order Logic with second-order

quantification on vertex sets, that includes NP-hard problems) can be

solved efficiently for graphs of certified small clique-width. It is

widely ...
more >>>

Wenceslas Fernandez de la Vega, Marek Karpinski

We give a simple proof for the sample complexity bound $O~(1/\epsilon^4)$ of absolute approximation of MAX-CUT. The proof depends on a new analysis method for linear programs (LPs) underlying MAX-CUT which could be also of independent interest.

more >>>