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Constituency Optimisation Through Hamiltonian Representation Of Mandates (COTHROM): Algorithmic Redistricting of Irish Election Boundaries

Electoral redistricting in Ireland's Proportional Representation Single Transferable Vote (PR-STV) system faces the challenge of selecting an optimally representative set of electoral boundaries from an enormous set of possible configurations, and where ``representative'' is a delicate balance of constitutional objectives that are often in tension with one another. We present the first computational framework for Irish electoral redistricting that systematically optimises across multiple constitutional requirements while making trade-offs explicit and quantifiable. The electoral redistricting problem is parsed using statistical physics, where constitutional objectives are considered as te...

AuthorsRuaidhrí Campion, Matthew Fenlon, Joshua Cooney Mercedal et al.
Primary categorycs.AI
Published2 June 2026
Last updated at source2 June 2026
cs.AIcond-mat.stat-mechcs.CYphysics.soc-ph
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