{"id":"W4321763399","doi":"10.1016/j.jctb.2023.02.003","title":"Proper orientations and proper chromatic number","year":2023,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Combinatorics; Mathematics; Windmill graph; Chromatic scale; Friendship graph; Graph; Vertex (graph theory); Critical graph; Orientation (vector space); Mathematical proof; Discrete mathematics; Graph power; Line graph; Geometry","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":[0.001205195,0.0001054951,0.0002009292,0.000123595,0.0001851935,0.0001751161,0.0003325654,0.00004681382,0.00003288272],"category_scores_gemma":[0.0002108945,0.00007258745,0.0000607726,0.0005680909,0.0001263831,0.0008682933,0.0001402693,0.0001554846,0.00006062718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001436819,"about_ca_system_score_gemma":0.0001056833,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001367618,"about_ca_topic_score_gemma":1.355859e-7,"domain_scores_codex":[0.9988197,0.0001765208,0.0003711177,0.0001276116,0.0003290959,0.0001759579],"domain_scores_gemma":[0.9990441,0.0001208361,0.0002098281,0.00021177,0.0003015444,0.0001119429],"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":[0.00004331774,0.00004647237,0.0001976746,0.00001896614,0.00003385482,0.00003032327,0.001545014,0.00001820617,0.001175056,0.9939168,0.002027382,0.000946928],"study_design_scores_gemma":[0.0008019111,0.0002838789,0.0003315162,0.00006470731,0.00001674324,0.0002183287,0.0002390826,0.0001283238,0.001596654,0.9911258,0.005077559,0.0001155259],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9824581,0.0001998566,0.00194837,0.00226167,0.008946415,0.0002226484,0.000001244864,0.0001868887,0.003774866],"genre_scores_gemma":[0.9955677,0.00005665387,0.003172509,0.00009528951,0.00007528935,0.00000523704,5.219374e-7,0.00001147648,0.001015356],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01310963,"threshold_uncertainty_score":0.296003,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01052320775289893,"score_gpt":0.2419314127537494,"score_spread":0.2314082050008505,"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."}}