{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009218678,0.0009020426,0.001202919,0.001146691,0.001917452,0.002661327,0.002151658,0.00157244,0.01304867],"category_scores_gemma":[0.008973921,0.001062967,0.0005907636,0.002213841,0.001603713,0.005113502,0.003673144,0.002838722,0.001240712],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00125311,"about_ca_system_score_gemma":0.0007066483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004511186,"about_ca_topic_score_gemma":0.001166304,"domain_scores_codex":[0.9987181,0.0003749776,0.00005771961,0.0002543107,0.0003031071,0.0002917044],"domain_scores_gemma":[0.989543,0.005805874,0.0007392538,0.00235677,0.0008716027,0.0006834451],"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":[0.0005616543,0.0002355824,0.002412001,0.0003378576,0.00005912561,0.0004334416,0.0006507933,0.04016206,0.01363442,0.855968,0.009768718,0.07577628],"study_design_scores_gemma":[0.00009143192,0.00007231109,0.0008007219,0.00002813299,0.00005694386,0.0004524696,0.0003055253,0.04493131,0.006803946,0.9395488,0.006885557,0.00002285284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5988472,0.0006388637,0.3218309,0.002494481,0.0002196981,0.0001569321,0.000735632,0.001131025,0.07394537],"genre_scores_gemma":[0.9076029,0.0006029162,0.07143916,0.0005917207,0.0001820949,0.0002291159,0.0008732843,0.0006480103,0.01783081],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01304867,"threshold_uncertainty_score":0.04365218,"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."}}