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David Schoch - Mathematical foundations of Network Centrality

Patterned pufferfish scales demonstrating a Turing pattern in the natural world
Dates:4 May 2020
Times:14:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
Speaker:David Schoch
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  • Mathematics in the life sciences
  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Mathematics in the life sciences "
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

(via Zoom) Join us for this webinar by David Schoch (Manchester) as part of the Mathematics in the Life Sciences Series.

Abstract: In the social sciences, networks are used to represent relationships between social actors, be they individuals or aggregates. The structural importance of these actors is assessed in terms of centrality indices which are commonly defined as graph invariants. Many such indices have been proposed, but there is no unifying theory of centrality. Previous attempts at axiomatic characterization have been focused on particular indices, and the conceptual frameworks that have been proposed alternatively do not lend themselves to mathematical treatment. In this talk, I illustrate that many standard centrality indices, although seemingly distinct, can in fact be expressed in a common framework based on path algebras. Since, as a consequence, all of these indices preserve the neighbourhood-inclusion pre-order, the latter provides a conceptually clear criterion for the definition of centrality indices. I highlight several empirical and theoretical implications of this result, including alternative assessments of structural importance.

Details of the zoom meeting ID and link will be sent via the Maths in the Life Sciences mailing list. If you have missed the e-mail please contact the seminar organiser directly.

To subscribe to the mailing list for this event series, please send an e-mail with the phrase “subscribe math-lifesci-seminar” in the message body to listserv@listserv.manchester.ac.uk

Speaker

David Schoch

Role: Presidential Fellow

Organisation: University of Manchester

  • https://www.research.manchester.ac.uk/portal/david.schoch.html

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