{"id":"W2617869480","doi":"","title":"Harmonic Mean Labeling for Some Special Graphs","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Graph; Harmonic mean; Enhanced Data Rates for GSM Evolution; Harmonic; Geometry; Physics; Artificial intelligence; Quantum mechanics; Computer science","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":[0.0006332295,0.0002674015,0.0004467317,0.0007199885,0.001134351,0.001006082,0.000598087,0.0007760093,0.002519837],"category_scores_gemma":[0.004193338,0.0003030583,0.000546384,0.0005885179,0.001339941,0.001725841,0.001038048,0.001142788,0.0002805668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001040144,"about_ca_system_score_gemma":0.0004159997,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00082458,"about_ca_topic_score_gemma":0.0009314562,"domain_scores_codex":[0.9994609,0.0001334773,0.00002054316,0.0001581302,0.0001265512,0.0001004432],"domain_scores_gemma":[0.9959675,0.002101039,0.0005045683,0.0006989588,0.0003968413,0.0003311438],"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":[0.000136735,0.0000674157,0.00322604,0.0001198411,0.00002866744,0.0003386432,0.0008465034,0.01730245,0.01610229,0.9349593,0.00404802,0.02282417],"study_design_scores_gemma":[0.00001929695,0.00005536406,0.001663603,0.00001548408,0.00002082425,0.0005099183,0.0002345739,0.1569407,0.005112349,0.8296608,0.005739051,0.00002796685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.759602,0.0003965957,0.2131746,0.001023708,0.00006340074,0.00003972436,0.0002503126,0.0005198839,0.02492984],"genre_scores_gemma":[0.9536884,0.0002311925,0.04290673,0.000185334,0.00006187402,0.00004291969,0.0002894071,0.00009574465,0.002498388],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002519837,"threshold_uncertainty_score":0.008429706,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1129482584690864,"score_gpt":0.3589946092691818,"score_spread":0.2460463508000953,"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."}}