# abstract

COMPUTER SCIENCE/DISCRETE MATH SEMINAR, II | |

Topic: | Quadratic Forms on Graphs |

Speaker: | Konstantin Makarychev |

Affiliation: | Princeton University |

Date: | Tuesday, February 22 |

Time/Room: | 10:30am - 12:30pm/S-101 |

We introduce a new graph parameter, called the rothendieck constant of a graph. This parameter is a generalization of the classical Grothendieck constant; and it is equal to an integrality gap of a certain SDP problem, which has various algorithmic applications. Our results improve a recent result of Kashin and Szarek on Gram matrices of uniformly bounded functions, and settle a problem of Megretski and of Charikar and Wirth. Noga Alon described the motivation of the problem and our results at the members seminar on Monday, Jan 31. In my talk, I will give proofs of these results.