{"id":"W2118970668","doi":"10.37236/1538","title":"Colouring Planar Mixed Hypergraphs","year":2000,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":31,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hypergraph; Combinatorics; Mathematics; Bipartite graph; Chromatic polynomial; Vertex (graph theory); Planar graph; Graph; Planar; Chromatic scale; Computer science","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":[0.001719692,0.0001364297,0.0002236122,0.0001675614,0.0002456501,0.00008133773,0.002355456,0.00004833907,0.00002715844],"category_scores_gemma":[0.00005737491,0.00009321357,0.0001455344,0.0009728243,0.00009078869,0.0004205274,0.00006305979,0.0009380167,0.00003140944],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001934547,"about_ca_system_score_gemma":0.0003356242,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002014481,"about_ca_topic_score_gemma":0.00000189884,"domain_scores_codex":[0.997869,0.0002748645,0.000343129,0.0001417591,0.0006264531,0.0007447832],"domain_scores_gemma":[0.9986951,0.0003277231,0.0001880007,0.0004985203,0.0001766986,0.00011396],"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":[0.00005488531,0.00007533326,0.00007949593,0.000002755905,0.00005576959,0.00002853738,0.0001562218,0.0002092449,0.0002948935,0.9893275,0.0003700105,0.00934532],"study_design_scores_gemma":[0.0006574003,0.0005988073,0.0002686422,0.00001309489,0.00001115791,0.0004928537,0.00003048847,0.0005052448,0.001982563,0.9807109,0.01461224,0.0001166071],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8279873,0.008496966,0.153583,0.003678428,0.0007433054,0.0002337137,6.03211e-7,0.0000916607,0.005185045],"genre_scores_gemma":[0.9976075,0.001306523,0.0001747938,0.00009183225,0.00005480626,0.00000214246,1.192059e-7,0.0000130641,0.000749193],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1696203,"threshold_uncertainty_score":0.4377062,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008014680410700175,"score_gpt":0.2406045820898491,"score_spread":0.2325899016791489,"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."}}