{"id":"W68623258","doi":"","title":"Special Face Numbering of Plane Quartic Graphs.","year":2000,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Numbering; Quartic function; Mathematics; Face (sociological concept); Plane (geometry); Combinatorics; Geometry; Pure mathematics; Algorithm; Linguistics; Philosophy","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":[0.0001940387,0.0001163325,0.0001789892,0.00007396307,0.00008302002,0.00004462718,0.000495871,0.00005408044,0.0001535788],"category_scores_gemma":[0.00001314375,0.0001138388,0.00006800816,0.0004647517,0.00005565836,0.000195365,0.00005971376,0.0001069845,0.0001970751],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009615542,"about_ca_system_score_gemma":0.00002633589,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005527808,"about_ca_topic_score_gemma":0.000002765236,"domain_scores_codex":[0.9989011,0.00004350955,0.0002668372,0.0002665201,0.0002692609,0.0002527435],"domain_scores_gemma":[0.999263,0.00005295173,0.00006524682,0.0004776866,0.00004576676,0.00009528023],"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":[0.000007100487,0.0001040952,0.0008495618,0.0000108885,0.00001344281,0.00000966,0.0007029168,0.0001672587,0.0005418073,0.9882271,0.002936857,0.006429299],"study_design_scores_gemma":[0.0007467962,0.0001336658,0.00133213,0.00004171129,0.000006680065,0.00001273977,0.00002136476,0.001948667,0.004054519,0.9895879,0.001920196,0.0001936005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9869067,0.000105551,0.00006210034,0.0001472132,0.001885031,0.00008227921,0.000001159172,0.0001341437,0.01067579],"genre_scores_gemma":[0.9984744,0.00001943539,0.001150999,0.00006276153,0.000005753905,0.000003534902,0.000001363829,0.000007449315,0.0002742656],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0115677,"threshold_uncertainty_score":0.4642213,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008941546285403027,"score_gpt":0.2127337850931771,"score_spread":0.2037922388077741,"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."}}