{"id":"W2808973873","doi":"10.6000/1927-5129.2018.14.37","title":"Edge Version of Harmonic Index and Harmonic Polynomial of Rooted Product Graphs","year":2018,"lang":"en","type":"article","venue":"Journal of Basic & Applied Sciences","topic":"Graph theory and applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Harmonic; Product (mathematics); Vertex (graph theory); Enhanced Data Rates for GSM Evolution; Polynomial; Combinatorics; Index (typography); Discrete mathematics; Mathematical analysis; Graph; Geometry; Computer science; Physics; Quantum mechanics; Telecommunications","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003410376,0.0003107367,0.0004206474,0.001430565,0.0006185009,0.001322757,0.001211858,0.0005694051,0.007450689],"category_scores_gemma":[0.00263216,0.0002220434,0.0005268636,0.001018929,0.001073372,0.004173428,0.0008711232,0.001457257,0.0006067149],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007370141,"about_ca_system_score_gemma":0.0003049222,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007166366,"about_ca_topic_score_gemma":0.0009025258,"domain_scores_codex":[0.9996642,0.00003640659,0.00001243302,0.0001033788,0.0001105812,0.00007306755],"domain_scores_gemma":[0.9991398,0.0003370315,0.00009399842,0.0001235107,0.0001876561,0.0001180186],"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":[0.00008190721,0.00005112822,0.003546276,0.0001433098,0.00002125047,0.00028278,0.0003561694,0.01372938,0.009213298,0.9381687,0.001523452,0.03288251],"study_design_scores_gemma":[0.00001331322,0.00006611236,0.002993993,0.00002026584,0.00002780244,0.0006310414,0.0002549292,0.1337817,0.005947968,0.8511435,0.005072396,0.00004680987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5911829,0.0005911972,0.3599084,0.0002599445,0.0001607095,0.00004949297,0.0004760359,0.0002789201,0.04709241],"genre_scores_gemma":[0.967682,0.0002465081,0.02545325,0.00004552125,0.00007866439,0.00001859149,0.0002892672,0.0001303172,0.006055893],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007450689,"threshold_uncertainty_score":0.02492505,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03402237576156962,"score_gpt":0.2922507085396655,"score_spread":0.2582283327780959,"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."}}