{"id":"W3188938205","doi":"10.37236/9671","title":"The Unit Acquisition Number of Binomial Random Graphs","year":2021,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Random regular graph; Graph; Discrete mathematics; Random graph; Line graph; 1-planar graph","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001395782,0.0001163059,0.000312233,0.00002599571,0.0002007594,0.00003631115,0.0003898124,0.00006033222,0.00004336301],"category_scores_gemma":[0.001400064,0.00006430172,0.0001647802,0.0003998153,0.00007263097,0.00005399045,0.00005272525,0.0005205362,0.000003913376],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000783366,"about_ca_system_score_gemma":0.0005657891,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001310872,"about_ca_topic_score_gemma":0.000003046152,"domain_scores_codex":[0.9983543,0.0001788358,0.0005595962,0.00007242819,0.00047431,0.0003604932],"domain_scores_gemma":[0.9957126,0.002706205,0.0005257942,0.0002428425,0.0007587057,0.00005380777],"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":[0.0002170598,0.0001064195,0.00001239356,0.00002574596,0.0001288807,0.000008629362,0.0001026684,0.000003070943,0.0001741833,0.9982665,0.0003786556,0.000575775],"study_design_scores_gemma":[0.001743541,0.000216446,0.00001520669,0.00004010859,0.0001861548,0.0003689309,0.0002406189,0.000198471,0.002467617,0.9937311,0.0007201455,0.00007159429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2662007,0.005160716,0.7234957,0.001733097,0.001349261,0.0002149836,0.000007240191,0.00001751967,0.00182072],"genre_scores_gemma":[0.9985254,0.0009718598,0.0001512671,0.0000369714,0.00007034039,0.000002353198,6.087647e-7,0.00001626013,0.0002249057],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7323247,"threshold_uncertainty_score":0.2622148,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01716575730531612,"score_gpt":0.3038616315488638,"score_spread":0.2866958742435476,"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."}}