{"id":"W4319792731","doi":"10.48550/arxiv.2302.03854","title":"Cospectral graphs obtained by edge deletion","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council; University of Waterloo","keywords":"Mathematics; Laplacian matrix; Combinatorics; Adjacency matrix; Laplace operator; Adjacency list; Graph; Discrete mathematics; Matrix (chemical analysis); Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.0001722641,0.000538494,0.0002727651,0.0008125722,0.0008802501,0.0005478601,0.000664942,0.0004876746,0.005814998],"category_scores_gemma":[0.001238746,0.000255102,0.0004524021,0.0006886127,0.0005968465,0.001218143,0.000914377,0.0006617309,0.0008197371],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003645941,"about_ca_system_score_gemma":0.0003201386,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009469832,"about_ca_topic_score_gemma":0.001615507,"domain_scores_codex":[0.9996465,0.00005243142,0.00001561492,0.0001271039,0.00009186192,0.00006638878],"domain_scores_gemma":[0.9992551,0.0001821451,0.0001350314,0.0002138816,0.0001145965,0.00009914587],"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":[0.0004654678,0.0004223204,0.004732843,0.0003023192,0.00009257838,0.002034928,0.001078972,0.036261,0.140521,0.6776294,0.01648389,0.1199753],"study_design_scores_gemma":[0.00009591215,0.0001616834,0.00752494,0.00004378825,0.0001131558,0.00243026,0.001012617,0.1756745,0.06087183,0.7033392,0.04866093,0.00007123739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7410169,0.0001591163,0.2066749,0.0004598961,0.000196276,0.0001128722,0.0008388828,0.000878824,0.0496622],"genre_scores_gemma":[0.9047076,0.0002423127,0.07464626,0.0003827482,0.00009319405,0.0001609076,0.00247262,0.0003027278,0.01699157],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005814998,"threshold_uncertainty_score":0.01945311,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1226165432128536,"score_gpt":0.2255400170068856,"score_spread":0.102923473794032,"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."}}