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Financial/Actuarial Mathematics Seminar

k-core in percolated dense graph sequences
Wednesday, January 27, 2021
4:00-5:00 PM
Passcode: 790109 https://umich.zoom.us/j/95407665241 Off Campus Location
Let G_n be a sequence of undirected, n-vertex dense graphs, and G_n(1/n) be the associated percolated random graphs. In this talk, we determine the size of k-core of G_n(1/n) using branching process and theory of dense graph limits. We use two different techniques to show the upper and lower bounds of the size of k-core. Our result can also be used to obtain the threshold of appearance of a k-core of order n. In addition, we obtain a probabilistic result concerning cut-norm and branching process which might be of independent interest. Based on the joint work with Erhan Bayraktar and Suman Chakraborty. Speaker(s): Xin Zhang (UM)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics