报告题目:TheIsoperimetric Problem in Block Designs
报告人:Dr.Muhammad AdibSurani(墨尔本大学)
报告时间:2016年7月18日(星期一)上午09:30-10:15
报告地点:4号楼4318室
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数学学院
2016年07月15日
报告摘要:
An independent set of a bipartite graph is called balanced if itcontains exactly half its elements in each partite set. The problemof finding large balanced independent sets has applications ininterconnection networks and coding theory, and we will use them inthis talk to construct upper and lower bounds for thevertex-isoperimetric number of a graph, which is a measure of how"well-connected" the graph is. In particular, we willclosely investigate these results for the point-hyperplane incidencegraph of PG(n, q) as well as incidence graphs of classical unitals.