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Any simplicial embedding of Xn into any pants graph P(S0,m) of a punctured sphere is induced by an embedding S0,n → S0,m.","abstract_has_math":false,"creators":["Maungchang, Rasimate"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Leininger, Christopher J.","Dunfield, Nathan M.","Kapovitch, Ilia","Athreya, Jayadev S."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-05-24T22:08:32Z","date_published":"2013-05-24T22:08:32Z","updated_at":"2026-07-22T22:25:34Z","subjects":["Sunada construction","Length spectral","finite rigidity","pants graphs"],"languages":["en"],"rights":["Copyright 2013 by Rasimate Maungchang. 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