{"id":"W2558084593","doi":"10.46298/dmtcs.2540","title":"Diameters and geodesic properties of generalizations of the associahedron","year":2015,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Agence Nationale de la Recherche; York University; Ministerio de Ciencia e Innovación; Government of Canada","keywords":"Combinatorics; Polytope; Mathematics; Convex polytope; Geodesic; Graph; Uniform k 21 polytope; Regular polygon; Geometry; Convex set","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001527144,0.0002077752,0.000466146,0.0000954428,0.0001334519,0.00006070281,0.0009475263,0.00006317578,0.000005289553],"category_scores_gemma":[0.00234543,0.0001268565,0.00009691106,0.0006625538,0.003887932,0.0001991051,0.0007686886,0.000130434,0.000001419827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005242659,"about_ca_system_score_gemma":0.0001422701,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002042914,"about_ca_topic_score_gemma":6.91214e-7,"domain_scores_codex":[0.997672,0.000117074,0.0006516296,0.0002757479,0.0009656344,0.0003179382],"domain_scores_gemma":[0.9976981,0.0004510389,0.0004418125,0.0007945956,0.0004544845,0.0001599349],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004104267,0.0001125901,0.0000547084,0.0002221175,0.00001473603,2.576058e-7,0.004850951,0.0000517038,0.003023406,0.9915322,0.00002090191,0.0001123165],"study_design_scores_gemma":[0.0002497015,0.00008782394,0.00001619399,0.0002644607,0.00005404791,0.000008535515,0.0003210969,0.07418343,0.02688666,0.8977762,0.00000367208,0.0001481506],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5696995,0.00004568732,0.4283145,0.0001998604,0.0003035914,0.0004450166,0.00000592007,0.00004418004,0.0009417436],"genre_scores_gemma":[0.7884279,0.000002700782,0.2114794,0.00002107761,0.00002584461,0.000009660293,1.91747e-7,0.0000202146,0.00001303783],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2187284,"threshold_uncertainty_score":0.9988229,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04544480959108728,"score_gpt":0.287961220983196,"score_spread":0.2425164113921087,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}