{"id":"W2027879769","doi":"10.1016/j.disc.2007.08.059","title":"Equitable coloring planar graphs with large girth","year":2007,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Combinatorics; Girth (graph theory); Edge coloring; Discrete mathematics; Planar graph; Graph coloring; Graph; Line graph; Graph power","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001508828,0.0001883007,0.000230166,0.0002030819,0.000264078,0.0001401346,0.001018869,0.00005214855,0.00001928209],"category_scores_gemma":[0.0000699292,0.000141227,0.000060264,0.0008175123,0.00009279222,0.0004944905,0.0002948534,0.0002165948,0.00006960798],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003808089,"about_ca_system_score_gemma":0.00003619043,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002398298,"about_ca_topic_score_gemma":0.0000270099,"domain_scores_codex":[0.9978395,0.00002793161,0.0002787833,0.0003287174,0.0005814664,0.0009436083],"domain_scores_gemma":[0.9984819,0.0003138515,0.0001146112,0.0008165416,0.00008875398,0.0001843303],"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":[0.00001611118,0.00006852475,0.0005422734,0.00007186088,0.00002658262,0.00007667871,0.00132465,0.00002525906,0.0005434938,0.9967419,0.00007738814,0.0004852919],"study_design_scores_gemma":[0.001500033,0.0005668336,0.0006263558,0.0002393236,0.00002400636,0.0001443058,0.002505057,0.02104744,0.01500949,0.9530156,0.004458581,0.0008630175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03808516,0.00007486,0.9425755,0.00008165348,0.00006040091,0.0002576209,0.000006976957,0.0002188324,0.01863904],"genre_scores_gemma":[0.6258329,0.00001004692,0.3730182,0.00009424736,0.00002824654,0.00001946993,0.000004524494,0.0000346225,0.000957786],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5877477,"threshold_uncertainty_score":0.5759072,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02317248454725758,"score_gpt":0.2980767138213042,"score_spread":0.2749042292740466,"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."}}