{"id":"W3022937793","doi":"10.2140/involve.2023.16.249","title":"Pairs of disjoint matchings and related classes of graphs","year":2023,"lang":"en","type":"article","venue":"Involve a Journal of Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Combinatorics; Disjoint sets; Mathematics; Graph; Matching (statistics); Induced subgraph; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001585622,0.001093958,0.0009831701,0.003209742,0.001345294,0.003093457,0.00255271,0.001906514,0.007828812],"category_scores_gemma":[0.01055613,0.0006419527,0.001319363,0.00241781,0.002160721,0.006913457,0.00258453,0.00187808,0.0008503914],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002136095,"about_ca_system_score_gemma":0.0005133636,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000973182,"about_ca_topic_score_gemma":0.0005381359,"domain_scores_codex":[0.9974195,0.0007884933,0.0001132039,0.0007705758,0.000480862,0.0004274653],"domain_scores_gemma":[0.9939532,0.003538751,0.001181531,0.0005383802,0.0002214143,0.0005666123],"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":[0.0004553802,0.0001622413,0.003523172,0.0002648818,0.0000797957,0.0002505782,0.0004477664,0.02070152,0.003665292,0.9314387,0.005488645,0.03352199],"study_design_scores_gemma":[0.0001567629,0.0002114999,0.002872667,0.00008198627,0.00009801174,0.001076947,0.0004801369,0.1031099,0.00429172,0.8723401,0.0152236,0.00005673361],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7467366,0.002444023,0.1594708,0.003142134,0.0001766973,0.0002856426,0.001550522,0.0007576561,0.08543591],"genre_scores_gemma":[0.9554508,0.001221036,0.0342004,0.0004042696,0.0003264504,0.0002066385,0.001215573,0.0001675436,0.006807284],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007828812,"threshold_uncertainty_score":0.02618992,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03364547344454044,"score_gpt":0.2960918141248234,"score_spread":0.2624463406802829,"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."}}