{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002973045,0.000295597,0.0003157427,0.0002169171,0.0002230508,0.00003918305,0.0006203359,0.000332926,0.0001033034],"category_scores_gemma":[0.00006660089,0.0003537363,0.0003054941,0.0006036272,0.0001500219,0.00007584281,0.000368054,0.0005480487,0.000258626],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001089771,"about_ca_system_score_gemma":0.00005394251,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004835766,"about_ca_topic_score_gemma":0.00004372114,"domain_scores_codex":[0.9985397,0.0001215602,0.0002160286,0.0007241656,0.00007159333,0.0003268971],"domain_scores_gemma":[0.9984167,0.0002623371,0.0002285975,0.0008546615,0.0001004093,0.0001372689],"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":[0.00002540445,0.0001320244,0.0004354517,0.00009120521,0.000109893,0.00002833364,0.00008128675,0.0006842992,0.0002043604,0.9819014,0.01627762,0.00002870606],"study_design_scores_gemma":[0.0003108515,0.00002193337,0.0002174817,0.00005273882,0.0001891918,0.000001433465,0.0001370351,0.003270075,0.0003170289,0.9940995,0.00102409,0.0003586237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9480532,0.00002632018,0.04531302,0.0001926225,0.0003023282,0.0006277111,0.0002098643,0.0008618794,0.00441305],"genre_scores_gemma":[0.9903834,0.000141372,0.000348739,0.00003471689,0.00004797015,0.000007334193,0.0001816577,0.00005229242,0.008802451],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04496428,"threshold_uncertainty_score":0.9998915,"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."}}