The ASC Networks cluster visiting researcher Prof. Richard Wilson (Department of Computer Science, University of York) gives a public lecture on his work on networks at Keble College.
Characterisation of Networks
A characterisation of a network is a number which describes some structural property of the network; a good example is the number of edges. In this talk I will discuss a wide range of characterisations of networks which we have developed at York over the past decade. The inspiration for these comes from diverse areas of mathematics and physics, and I will explore ideas from graph spectra, random walks (classical and quantum), heat diffusion and the connection between prime numbers and networks. These all lead to characterisations which reveal different properties of the networks.
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One of the largest of the constituent colleges of the University of Oxford with 410 undergraduate and 235 graduate students. It was the wish of our founders in 1870 to extend access to the University more widely, and the College has a continuing commitment to inclusiveness. The College prides itself on the academic achievements of its students, and aims to offer a supportive environment in which learning can flourish. Keble is a vibrant community whose students excel not only academically,...