(a) Pendant node 4 is positively connected to its sole neighbor node 0.

<p>(b) After reduction, node 4 and its edge are replaced with a self-loop at node 0 that has the same weight as the edge (0,4).</p>

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Bibliographic Details
Main Author:	Samin Aref (22226678) (author)
Other Authors:	Boris Ng (22226681) (author)
Published:	2025
Subjects:	Sociology Biological Sciences not elsewhere classified Mathematical Sciences not elsewhere classified Information Systems not elsewhere classified weighted graph according valued edge weights integer programming solvers integer programming solver correlations among stocks comprehensive results based cluster edge weights 2008 financial crisis possible node partitions novel approximation algorithm troika returns partitions random networks point div >< p clique partitioning problem accurate clique partitioning troika offers advantages optimal node partition clique partitioning node triples troika algorithm hard problem accurate method optimal partition troika uses troika reveals troika </ unlike heuristics sized networks practical relevance portfolio analysis paper introduces higher proximity guaranteed proximity global optimality eight modularity dynamic changes cut scheme community detection approximate optimization alternative methods 5000 edges 19 pandemic
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