{"id":"W2180784125","doi":"","title":"The total chromatic number of some bipartite graphs","year":2008,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Bipartite graph; Chromatic scale; Combinatorics; Foster graph; Graph; Line graph; Voltage graph","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002819534,0.0001097908,0.0001554338,0.00004553099,0.0003337809,0.00003890082,0.0005560266,0.00004431244,0.00000577401],"category_scores_gemma":[0.00004711084,0.00007725624,0.00009387729,0.0004766168,0.0001851277,0.000259106,0.0001642505,0.0001018348,0.0001228677],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009144042,"about_ca_system_score_gemma":0.00005199223,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002986336,"about_ca_topic_score_gemma":3.698055e-7,"domain_scores_codex":[0.9988545,0.0000663097,0.0002871945,0.0002059615,0.0003280195,0.0002580383],"domain_scores_gemma":[0.9988787,0.0001621378,0.0001212853,0.0006584549,0.00009839403,0.0000810277],"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":[0.000001739068,0.00006514798,0.00196511,0.000005936819,0.00001716256,0.000006657363,0.0002649528,0.00001252897,0.0007888019,0.9945027,0.002157142,0.0002121148],"study_design_scores_gemma":[0.0004039273,0.00005234331,0.004885974,0.00001842134,0.00000437729,0.00006169844,0.000006941731,0.002002117,0.002888322,0.9894236,0.0001430226,0.0001092654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9965777,0.0004235213,0.00003250542,0.0003518892,0.001661967,0.00008904985,4.911693e-7,0.0001122105,0.0007506194],"genre_scores_gemma":[0.9986218,0.00007127406,0.000954101,0.00006958089,9.412121e-7,0.00001051642,5.243838e-7,0.000007388529,0.0002638814],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005079116,"threshold_uncertainty_score":0.3150418,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01187753221243701,"score_gpt":0.2281356856109253,"score_spread":0.2162581533984883,"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."}}