{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003460024,0.000151986,0.0003263011,0.0002332055,0.0001282233,0.00007867737,0.0002004721,0.0001054191,0.0001934941],"category_scores_gemma":[0.000376521,0.0001021763,0.0003414756,0.0001105758,0.0001883558,0.0002046725,0.00003305497,0.0002720151,3.031474e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000022819,"about_ca_system_score_gemma":0.00004200603,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.465623e-7,"about_ca_topic_score_gemma":0.000002066388,"domain_scores_codex":[0.9987243,0.0002135986,0.0005000465,0.0001506039,0.0002284006,0.0001830847],"domain_scores_gemma":[0.9976968,0.001747279,0.0001378803,0.0001833764,0.0001314854,0.00010318],"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":[0.0004712963,0.00004421974,0.0001193217,0.0004932049,0.0002954917,0.00002829706,0.0039882,1.817847e-7,0.002589575,0.9792539,0.001079319,0.01163693],"study_design_scores_gemma":[0.0004608528,0.0002267121,0.000409768,0.0001323413,0.0002074246,0.0001940401,0.0007301383,0.00001640155,0.002521545,0.9934929,0.001488779,0.0001190944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9534292,0.004732058,0.0384997,0.0002471479,0.001508715,0.0002583794,0.00005313984,0.00003929106,0.00123233],"genre_scores_gemma":[0.9941516,0.0001448734,0.005338013,0.00006858361,0.0002143088,0.000004059378,3.990564e-7,0.00002680979,0.00005134338],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04072237,"threshold_uncertainty_score":0.4166629,"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."}}