{"id":"W2406417745","doi":"","title":"On the Wiener index of rooted product of graphs.","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Wiener index; Index (typography); Combinatorics; Product (mathematics); Statistics; Discrete mathematics; Graph; Computer science; Geometry; World Wide Web","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":[0.0002560273,0.0000799627,0.0001435393,0.00005031785,0.00005205564,0.000005515899,0.0002408867,0.00003444961,0.0001364715],"category_scores_gemma":[0.0002384182,0.00005182368,0.00006519753,0.0003179226,0.0001232286,0.00004265675,0.00003164449,0.0000961669,0.00002083319],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004297644,"about_ca_system_score_gemma":0.00001228925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002398223,"about_ca_topic_score_gemma":0.000001103982,"domain_scores_codex":[0.9993587,0.00006669242,0.0002149463,0.0001119516,0.0001471772,0.0001005576],"domain_scores_gemma":[0.9987022,0.0004233153,0.0001581729,0.0005626278,0.0001301404,0.00002357213],"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":[0.000004844919,0.0002434702,0.0009181736,0.00002036782,0.00002568204,5.320875e-8,0.0001624663,0.000001053255,0.003362497,0.9907145,0.004398654,0.0001482693],"study_design_scores_gemma":[0.0001794873,0.00004004683,0.00515769,0.00002303529,0.00001295956,3.515138e-7,0.00004240415,0.0000178281,0.03107438,0.9633228,0.00007577132,0.00005328406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9957249,0.00001603429,0.00000748771,0.0004079385,0.0001241963,0.0004006746,0.000002760857,0.00002258253,0.003293484],"genre_scores_gemma":[0.9996387,0.000002161805,0.00008280431,0.00003145765,0.000001735333,0.00007899212,0.000001114499,0.00001097173,0.0001521096],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02771188,"threshold_uncertainty_score":0.2113308,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01995722807738588,"score_gpt":0.2559265809331849,"score_spread":0.235969352855799,"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."}}