Judicious partitions of graphs and hypergraphs

Judicious partition;Azuma-Hoeffding inequality

Ma, Jie ; Mathematics

University:Georgia Institute of Technology

Department:Mathematics

关键词: Judicious partition;    Azuma-Hoeffding inequality;   

Others  :  https://smartech.gatech.edu/bitstream/1853/41064/1/ma_jie_201108_phd.pdf

美国|英语

来源: SMARTech Repository

【 摘 要 】

Classical partitioning problems, like the Max-Cut problem, ask for partitions that optimize one quantity, which are important to such fields as VLSI design, combinatorial optimization, and computer science. Judicious partitioning problems on graphs or hypergraphs ask for partitions that optimize several quantities simultaneously. In this dissertation, we work on judicious partitions of graphs and hypergraphs, and solve or asymptotically solve several open problems of Bollobas and Scott on judicious partitions, using the probabilistic method and extremal techniques.