{"id":"W4391821761","doi":"10.1002/jgt.23085","title":"Degree criteria and stability for independent transversals","year":2024,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Bounded function; Vertex (graph theory); Partition (number theory); Transversal (combinatorics); Independent set; Discrete mathematics; Existential quantification; Degree (music); Social connectedness; Graph","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001471845,0.0003585573,0.0004811465,0.002938023,0.001255804,0.001561813,0.0006455385,0.0008513705,0.004986309],"category_scores_gemma":[0.008990114,0.000419373,0.0004905407,0.001077794,0.002217146,0.002657156,0.001886097,0.00109749,0.0003753375],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008029156,"about_ca_system_score_gemma":0.0001817809,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004866709,"about_ca_topic_score_gemma":0.0004239124,"domain_scores_codex":[0.9991454,0.0002065908,0.00005925811,0.000189695,0.0002753133,0.0001237749],"domain_scores_gemma":[0.991839,0.004280982,0.001158362,0.0004435769,0.001188358,0.001089674],"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":[0.0002780774,0.00004955533,0.008001097,0.0001074542,0.00003549414,0.0003145595,0.0007808452,0.01371273,0.01428341,0.9512906,0.001099918,0.01004618],"study_design_scores_gemma":[0.00005762684,0.0002070383,0.006371715,0.00007405299,0.00003994341,0.001148212,0.0008393108,0.1106382,0.0120509,0.8630124,0.00550873,0.00005183031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8694395,0.0005642734,0.1016934,0.0004475738,0.00004082308,0.0000480478,0.000260683,0.0000867301,0.02741897],"genre_scores_gemma":[0.9912934,0.0001114361,0.006789293,0.00003699342,0.00003968405,0.00002663479,0.0001138093,0.00002210347,0.001566696],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004986309,"threshold_uncertainty_score":0.0166809,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07414025603468731,"score_gpt":0.3427614761729238,"score_spread":0.2686212201382365,"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."}}