{"id":"W1537722183","doi":"","title":"On Theorems Equivalent with Kotzig's Result on Graphs with Unique 1-Factors","year":2004,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph theory and applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.002110968,0.002067363,0.002247967,0.005260024,0.00456557,0.004425688,0.002959909,0.002974533,0.0195398],"category_scores_gemma":[0.00752996,0.001262567,0.003564858,0.006509041,0.006467466,0.02048543,0.007611752,0.008028827,0.002814703],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003313854,"about_ca_system_score_gemma":0.000895768,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003036787,"about_ca_topic_score_gemma":0.002521975,"domain_scores_codex":[0.9980764,0.0005486724,0.0001062276,0.0005113361,0.0003997097,0.0003576386],"domain_scores_gemma":[0.9946045,0.003650942,0.0003828226,0.0006199044,0.0003805349,0.0003612434],"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":[0.00005895937,0.00002711739,0.000127793,0.0001280109,0.0000163807,0.0000993601,0.000447909,0.0006193198,0.0004644334,0.9887087,0.004738599,0.004563455],"study_design_scores_gemma":[0.00001096003,0.000008168125,0.0001141668,0.00001833142,0.00001747249,0.00008120416,0.0000852899,0.0006303426,0.0001407116,0.9958647,0.003018311,0.00001035615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1754388,0.007419547,0.289024,0.01990493,0.003836715,0.0002409668,0.001724802,0.001662711,0.5007476],"genre_scores_gemma":[0.8404579,0.008038671,0.05942972,0.009150077,0.003335674,0.0005619906,0.001974155,0.001430592,0.07562134],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0195398,"threshold_uncertainty_score":0.06536716,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0237670924044764,"score_gpt":0.2714564342471568,"score_spread":0.2476893418426804,"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."}}