{"id":"W4318620924","doi":"10.48550/arxiv.2301.11577","title":"Defective acyclic colorings of planar graphs","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Combinatorics; Mathematics; Planar graph; Vertex (graph theory); Graph; Integer (computer science); Planar; Edge coloring; Discrete mathematics; Graph power; Computer science; Line graph","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.0005129199,0.0006086885,0.0003284834,0.001085115,0.0008106615,0.001048016,0.0009029408,0.0004817578,0.004074913],"category_scores_gemma":[0.003168695,0.0005563659,0.0007311685,0.001119834,0.001100444,0.001644154,0.001141182,0.001302718,0.0003162285],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001888867,"about_ca_system_score_gemma":0.0007108905,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006784159,"about_ca_topic_score_gemma":0.008406206,"domain_scores_codex":[0.9992121,0.0001518567,0.00004114758,0.0001567299,0.0002120753,0.0002261329],"domain_scores_gemma":[0.9967803,0.001427525,0.0005652526,0.000535381,0.0003146222,0.0003768394],"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":[0.0002622247,0.0001000757,0.006157371,0.0003670104,0.000056784,0.0006515753,0.000602108,0.143029,0.01708343,0.7646213,0.009200712,0.05786848],"study_design_scores_gemma":[0.0001144227,0.0001755742,0.00399639,0.00009786828,0.00008653219,0.00164972,0.0005940885,0.2988836,0.01455902,0.6111239,0.06862511,0.00009380359],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5109691,0.00180556,0.4209137,0.001402064,0.0002991304,0.0001595922,0.001524176,0.001354974,0.06157167],"genre_scores_gemma":[0.8963313,0.001364267,0.08758479,0.0004562867,0.0001389979,0.0001048021,0.001524042,0.0002239184,0.01227161],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006784159,"threshold_uncertainty_score":0.01370478,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1154374703001009,"score_gpt":0.2303895697095777,"score_spread":0.1149520994094769,"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."}}