{"id":"W3046024813","doi":"10.1016/j.jctb.2023.10.010","title":"Edge-colouring graphs with local list sizes","year":2023,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Combinatorics; Mathematics; Generalization; Hypergraph; Edge coloring; Chromatic scale; Degree (music); Graph; Discrete mathematics; Line graph; Graph power","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":[0.00259111,0.0002145925,0.0004077152,0.0004978125,0.0002958541,0.0002187207,0.001630193,0.00008568762,0.00003811195],"category_scores_gemma":[0.0003578445,0.000161119,0.0001701984,0.001751708,0.0005221704,0.001678148,0.0003728751,0.0005585054,0.00002579191],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007436161,"about_ca_system_score_gemma":0.0002282932,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001325761,"about_ca_topic_score_gemma":0.000001656417,"domain_scores_codex":[0.9974789,0.0004578732,0.0004631914,0.0002424186,0.0008479913,0.0005096106],"domain_scores_gemma":[0.997538,0.0008418091,0.0003537579,0.0005082675,0.000512075,0.0002460384],"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":[0.001150552,0.00006494701,0.0002103445,0.00001866462,0.00008588839,0.000421731,0.0005491307,0.0004132414,0.0005871095,0.9909521,0.0005260024,0.005020235],"study_design_scores_gemma":[0.001356588,0.001427987,0.0003087343,0.00007588071,0.0000121597,0.0002816862,0.0004976795,0.00009918112,0.007743647,0.9818254,0.006161707,0.0002094135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6970888,0.0006930892,0.2741758,0.002570425,0.01629501,0.0005523341,0.000005982866,0.0006929722,0.007925622],"genre_scores_gemma":[0.9963099,0.00008957725,0.002496735,0.00005281981,0.0003408952,0.000006831181,5.469891e-7,0.00002987432,0.0006728652],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2992211,"threshold_uncertainty_score":0.6570241,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01226140847918639,"score_gpt":0.2633750736726819,"score_spread":0.2511136651934955,"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."}}