{"id":"W1974745657","doi":"10.4153/cmb-2008-053-9","title":"On the Simple ℤ<sub>2</sub>-homotopy Types of Graph Complexes and Their Simple ℤ<sub>2</sub>-universality","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Canada Research Chairs","keywords":"Mathematics; Homotopy; Homomorphism; Simple (philosophy); Universality (dynamical systems); Graph; Simple graph; Combinatorics; Pure mathematics; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004873867,0.0002709995,0.0005009086,0.0003142247,0.0004149299,0.00008129064,0.000981365,0.0001225158,0.0007925793],"category_scores_gemma":[0.0006890361,0.0001724414,0.0001876744,0.001006422,0.0005890722,0.00007539032,0.0002254653,0.0002463646,0.0007157323],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006921317,"about_ca_system_score_gemma":0.0001301571,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001287066,"about_ca_topic_score_gemma":0.001267665,"domain_scores_codex":[0.9980777,0.0001815603,0.0003963726,0.0004856786,0.0003072227,0.0005514967],"domain_scores_gemma":[0.9969431,0.001427107,0.0001337639,0.0008531869,0.0001057353,0.0005371171],"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":[0.0000210079,0.0002972989,0.0004484817,0.0001037681,0.0002457305,0.0001535873,0.0009969408,0.00005950118,0.005950321,0.9009943,0.0771498,0.01357927],"study_design_scores_gemma":[0.0006756184,0.0004500452,0.007695455,0.00006973954,0.00008462786,0.0001274564,0.0004733859,0.005105448,0.05271214,0.900657,0.03097468,0.0009744262],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.968455,0.0001043843,0.0224802,0.006520236,0.00003133937,0.0002571369,0.000178328,0.00006820319,0.001905197],"genre_scores_gemma":[0.99806,0.00006722362,0.0004013954,0.001369518,0.00002685955,0.00001109978,0.00001943985,0.00001206005,0.00003237768],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04676182,"threshold_uncertainty_score":0.919953,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01822650687824193,"score_gpt":0.2004492809128298,"score_spread":0.1822227740345879,"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."}}