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Description: |
A network/graph provides an abstract representation, establishing the relationships among a set of elements. It helps organizing the information and provides an overall view of the underlying system. These structures are being used in a large number of areas and scientific domains, namely in Sociology, Financial Markets, Marketing, Engineering, Chemistry, Biology, among others, contributing for knowledge progress and deeper understanding of hidden underlying information. A clique is a complete subgraph, revealing a strongly related group of nodes (elements). More recent concepts of cliques involve distance relaxations (k-cliques, k-clubes), degree relaxations (k-plexes) and clique's neighborhood (cut-cliques). In this seminar, we discuss formulations for maximum clique and maximum cut-clique problems, exploring new discretized models. We also discuss their applicability on some real-world environments, namely on biological networks, press networks and in market basket analysis. Among the biological networks discussed, we consider protein-protein interaction networks, networks of interacting pathways and gene co-expression networks.
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Date: |
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Speaker: |
Pedro Coimbra (ISCAC, Polytechnic Institute of Coimbra)
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Institution: |
ISCAC, Polytechnic Institute of Coimbra
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Research Groups: |
-Numerical Analysis and Optimization
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See more:
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