{"id":"W2404135439","doi":"","title":"A Note on Wiener Indices of Unicyclic Graphs.","year":2009,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph theory and applications","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Wiener index; Combinatorics; Statistics; 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":[0.0002020156,0.0001028795,0.000168455,0.0001054997,0.00007501279,0.000008537998,0.0002261397,0.00006821457,0.00002354399],"category_scores_gemma":[0.0000706225,0.00009160401,0.00008166637,0.0003544113,0.00005807962,0.00005402301,0.00001551836,0.0001151792,0.00002319097],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009390807,"about_ca_system_score_gemma":0.00001233965,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003019644,"about_ca_topic_score_gemma":0.000001232886,"domain_scores_codex":[0.9993105,0.00004638905,0.0002046355,0.000145618,0.0001518099,0.0001410767],"domain_scores_gemma":[0.9991246,0.0002422786,0.0001345735,0.0004107571,0.00003774362,0.00005006674],"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":[0.000009419805,0.0003495893,0.0001384706,0.000007209114,0.00001099211,9.00836e-7,0.0002411869,5.630386e-7,0.001422894,0.9954621,0.0006333001,0.001723435],"study_design_scores_gemma":[0.0003878637,0.0001512591,0.002035632,0.00003063036,0.00002225864,0.000001013904,0.00002455218,0.00001053364,0.01086233,0.985755,0.000623993,0.00009489364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9863573,0.00002405929,0.00001354525,0.0002629918,0.0001376952,0.0001493109,0.000004193752,0.00006372864,0.01298717],"genre_scores_gemma":[0.9991583,0.000009896815,0.0005341297,0.0001552528,0.000002972553,0.00001140626,0.000002688686,0.000009445728,0.0001159348],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01287123,"threshold_uncertainty_score":0.3735503,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02113948187883758,"score_gpt":0.299635073351355,"score_spread":0.2784955914725174,"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."}}