{"id":"W2760792438","doi":"","title":"On the minimum spectral radius of trees with given matching number.","year":2017,"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; Matching (statistics); Spectral radius; RADIUS; Combinatorics; Statistics; Computer science; Physics; Computer security; Eigenvalues and eigenvectors; Quantum mechanics","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":[0.0002470621,0.0001026771,0.0001537072,0.00001489512,0.0004021202,0.00004586384,0.0004760036,0.00003536587,0.00007557392],"category_scores_gemma":[0.0001035574,0.00006467169,0.00005967465,0.00004492368,0.0001662788,0.00006327636,0.00004109522,0.0001291237,0.00003398725],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001022144,"about_ca_system_score_gemma":0.00001459204,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001882277,"about_ca_topic_score_gemma":0.00001815761,"domain_scores_codex":[0.9994162,0.00004564477,0.0001340024,0.0001255792,0.0001422114,0.0001363055],"domain_scores_gemma":[0.998373,0.0005347839,0.0002072312,0.0008213981,0.00002986446,0.00003366343],"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":[0.00002858863,0.0001433009,0.001026851,0.00001059458,0.00003860159,0.000002182868,0.0005220805,7.072551e-7,0.0004074789,0.9961163,0.001654544,0.00004874659],"study_design_scores_gemma":[0.0004111702,0.00006220784,0.005305889,0.00005258549,0.00002845469,0.000004319671,0.0001686569,0.000008701841,0.003875525,0.9898651,0.0001337209,0.00008364049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9700519,0.000003356439,0.00001511411,0.0009472635,0.0001369737,0.0001913865,0.000005559256,0.00002819292,0.0286202],"genre_scores_gemma":[0.999106,0.000001909725,0.0003815425,0.0000242546,0.000006981717,0.00002517566,8.55505e-7,0.00001623896,0.0004369669],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02905412,"threshold_uncertainty_score":0.3092824,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02387055413670029,"score_gpt":0.2862473691199902,"score_spread":0.2623768149832899,"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."}}