{"id":"W1601805893","doi":"10.37236/426","title":"Symmetric Laman Theorems for the Groups $\\mathcal{C}_2$ and $\\mathcal{C}_s$","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Technische Universität Berlin; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Combinatorics; Automorphism; Reflection symmetry; Type (biology); Center (category theory); Symmetry (geometry); Symmetry group; Geometry; Crystallography","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001532349,0.0007494946,0.0005673224,0.001595965,0.002744965,0.001688738,0.002013476,0.001359461,0.01043821],"category_scores_gemma":[0.003082034,0.0005705743,0.001745863,0.0008364422,0.004147063,0.005315441,0.002933806,0.002800783,0.001818601],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002198526,"about_ca_system_score_gemma":0.0009371784,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001480188,"about_ca_topic_score_gemma":0.001768304,"domain_scores_codex":[0.9987903,0.0003330847,0.00004652799,0.0002584993,0.0003020391,0.0002694551],"domain_scores_gemma":[0.9977776,0.0009113273,0.0003647825,0.0003825368,0.0003514172,0.0002123211],"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":[0.00000828767,0.000008044015,0.0001539752,0.00001712945,0.000002888286,0.00002882025,0.0001740591,0.0004093483,0.0004388222,0.996454,0.0005407835,0.001763859],"study_design_scores_gemma":[0.00001325396,0.00002322062,0.0003085686,0.000008372123,0.00001252595,0.00009874962,0.0002191788,0.004583354,0.002782604,0.9864084,0.005526951,0.00001489722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3028872,0.0005349141,0.5021248,0.002164331,0.0002216321,0.0002767542,0.0004338018,0.0006317735,0.1907249],"genre_scores_gemma":[0.897473,0.0003936945,0.06504419,0.0009260249,0.0001653106,0.0004379938,0.0007987661,0.000243325,0.03451762],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01043821,"threshold_uncertainty_score":0.03491926,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02711714514405482,"score_gpt":0.3175550522156717,"score_spread":0.2904379070716169,"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."}}