{"id":"W2402131418","doi":"","title":"(2, 1)-Total Labeling Of Planar Graphs With Large Girth And Low Maximum Degree.","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Girth (graph theory); Degree (music); Planar graph; Combinatorics; Planar; Discrete mathematics; Graph; Computer science; Physics","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":[0.0003185139,0.0001669828,0.0002261022,0.0001487491,0.0001241493,0.00003524453,0.0003626132,0.00007174514,0.000007574256],"category_scores_gemma":[0.00001649559,0.000136027,0.00004049825,0.0004387368,0.00009484053,0.0002553804,0.0001325462,0.0001416794,0.00000969883],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005913464,"about_ca_system_score_gemma":0.0000429561,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001067248,"about_ca_topic_score_gemma":0.0000100527,"domain_scores_codex":[0.9987627,0.00004610692,0.0002365393,0.000363325,0.0002623883,0.0003289934],"domain_scores_gemma":[0.9990579,0.00004659496,0.0001301474,0.0004912056,0.0001351002,0.0001390141],"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":[0.00001905086,0.0001828462,0.01487037,0.00002926364,0.00003485547,0.00002527924,0.0009090959,0.000001382909,0.0006824126,0.982347,0.000138536,0.0007599206],"study_design_scores_gemma":[0.00174275,0.0004545727,0.006958761,0.000101942,0.00001732156,0.00004316107,0.00006135821,0.0008983685,0.004080817,0.9853622,0.00002431031,0.000254408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9966679,0.0004600906,0.0009166588,0.00004815174,0.0005544445,0.0001240162,0.000004159721,0.0001332115,0.001091413],"genre_scores_gemma":[0.9807598,0.00002303826,0.01908817,0.0000760061,4.852348e-7,0.000005728839,0.000001919452,0.00001299804,0.0000318625],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01817151,"threshold_uncertainty_score":0.5547019,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01701971071493668,"score_gpt":0.2000809446882108,"score_spread":0.1830612339732741,"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."}}