{"id":"W2402605984","doi":"","title":"Fractional incidence coloring and star arboricity of graphs.","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Arboricity; Mathematics; Edge coloring; Star (game theory); Combinatorics; Graph; Planar graph; Mathematical analysis; Line 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002891449,0.0002620789,0.0003069107,0.0008926186,0.001126102,0.00142236,0.0004735987,0.0005318573,0.005688107],"category_scores_gemma":[0.002608341,0.0002402376,0.0003546388,0.001082281,0.001312528,0.00188548,0.000683648,0.001065362,0.0005296253],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009072078,"about_ca_system_score_gemma":0.00045545,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002279006,"about_ca_topic_score_gemma":0.003287533,"domain_scores_codex":[0.9997343,0.00006663908,0.00001247375,0.00005686554,0.0000563243,0.00007328699],"domain_scores_gemma":[0.9985594,0.0007595012,0.0001997157,0.0001856552,0.0001421726,0.0001536061],"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":[0.00008547348,0.0000500837,0.001365892,0.0000523851,0.00001028819,0.0001885264,0.0002442707,0.004855675,0.003261742,0.9649562,0.004551672,0.0203779],"study_design_scores_gemma":[0.00001341999,0.00001630376,0.0007675808,0.00001583434,0.00001188563,0.0002312121,0.0001372572,0.01739,0.001459507,0.9727912,0.007158482,0.000007216766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6324797,0.002015808,0.1798823,0.002670133,0.0005268286,0.00005076691,0.0005527475,0.0004381035,0.1813837],"genre_scores_gemma":[0.966743,0.0008158029,0.01574323,0.0002307683,0.0002310947,0.00002647903,0.0003394834,0.00005973882,0.01581038],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005688107,"threshold_uncertainty_score":0.0190286,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02015783994088729,"score_gpt":0.2870005513607761,"score_spread":0.2668427114198888,"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."}}