{"id":"W2579755476","doi":"","title":"On the Hosoya index and the Merrifield-Simmons index of bicyclic graphs with given matching number.","year":2016,"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; Combinatorics; Index (typography); Matching (statistics); Discrete mathematics; Statistics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000512844,0.0001406973,0.0002045213,0.00003740234,0.0002415078,0.00002213755,0.0003140888,0.0000673631,0.00006578409],"category_scores_gemma":[0.0001376275,0.00005791939,0.00006794574,0.0002328124,0.0004343331,0.00005814459,0.00006537831,0.0001800842,0.00001456079],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007335387,"about_ca_system_score_gemma":0.00001623671,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004668793,"about_ca_topic_score_gemma":0.00001495036,"domain_scores_codex":[0.9990965,0.0001696564,0.0002046146,0.000169354,0.000196559,0.0001633815],"domain_scores_gemma":[0.9962533,0.002910142,0.0001753602,0.0005729508,0.00004667946,0.00004160238],"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":[0.00010051,0.00008117629,0.003654692,0.00001086054,0.00007278391,5.959643e-7,0.0006958013,2.685865e-7,0.0001386731,0.9941643,0.0008543059,0.0002260506],"study_design_scores_gemma":[0.001397675,0.00003898985,0.002487005,0.00009339747,0.00003827995,0.000005085156,0.0002587269,0.000006822061,0.0006591165,0.9947454,0.0001722858,0.00009721438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.98868,0.00001633995,0.0001639448,0.003502905,0.00008867223,0.0003899492,0.000006188498,0.00003714941,0.007114852],"genre_scores_gemma":[0.9994631,0.00001893589,0.00003886978,0.0001271214,0.000003500934,0.00009355588,3.699283e-7,0.00001948493,0.0002350347],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01078313,"threshold_uncertainty_score":0.2361884,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01296227621581729,"score_gpt":0.2520460377340407,"score_spread":0.2390837615182234,"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."}}