U.S.-Brazil Cooperative Research: Problems on Random Graphs (Structures) and Set Systems

[0072064]这项美国-巴西奖为埃默里大学的Vojtech Rodl博士、Dwight A. Duffus和Jozef Skokan博士、佐治亚理工学院的Brendan Nagle博士、卡内基梅隆大学的Lubos Thoma博士和圣保罗大学的Yoshiharu Kohayakawa教授之间的合作研究提供支持。美国研究人员将获得旅费支持，前往巴西圣保罗与Kohayakawa博士一起工作。Kohayakawa经常访问埃默里大学，但此次获奖将允许美国研究人员前往巴西继续合作。他们将研究两组问题：第一组集中在最近发展的方法论上，涉及Szemeredi的正则引理，一个稀疏的正则引理，以及膨胀引理的版本。第二组处理有限集系统的外部性质。

0072064RodlThis US-Brazil award provides support for cooperative research among Dr. Vojtech Rodl, Dwight A. Duffus, and Jozef Skokan of Emory University, Dr. Brendan Nagle of Georgia Tech, Dr. Lubos Thoma of Carnegie Mellon and Professor Associado Yoshiharu Kohayakawa of the Universidade de Sao Paulo. The U.S. researchers will be provided with travel support to work with Dr. Kohayakawa in Sao Paulo, Brazil.Dr. Kohayakawa has visited Emory University frequently, but this award will permit the U.S. researchers to continue the collaboration by going to Brazil. They will work on two sets of problems: the first group center on the recently developed methodology involving Szemeredi's Regularity Lemma, a sparse regularity lemma, and versions of the Blow-up Lemma. The second group deals with external properties for finite set systems.