{"id":"W3200990721","doi":"10.1016/j.disc.2023.113341","title":"Strongly cospectral vertices in normal Cayley graphs","year":2023,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Cayley graph; Mathematics; Combinatorics; Pairwise comparison; Upper and lower bounds; Discrete mathematics; Eigenvalues and eigenvectors; Cayley transform; Vertex-transitive graph; Graph; Line graph; Voltage graph","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":[],"consensus_categories":[],"category_scores_codex":[0.0005752161,0.0002071151,0.0003020389,0.0002289104,0.0001276795,0.00005423102,0.0003540707,0.00008646605,0.0001388561],"category_scores_gemma":[0.0002019942,0.000184636,0.0001356484,0.000906968,0.00010395,0.0001469745,0.00008821955,0.0002046862,0.0003192138],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002472102,"about_ca_system_score_gemma":0.00002204886,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009633573,"about_ca_topic_score_gemma":0.00008115315,"domain_scores_codex":[0.9985019,0.00004828568,0.0004736346,0.0002414332,0.0002726918,0.0004620326],"domain_scores_gemma":[0.9987404,0.0004822634,0.0001292159,0.0005215519,0.00003229186,0.00009429434],"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":[0.000007037483,0.0001242916,0.0008433619,0.0001639916,0.00002650284,0.00001141424,0.002561908,0.00003536806,0.0004834162,0.9946737,0.0009813638,0.00008761264],"study_design_scores_gemma":[0.0003690128,0.00003182189,0.00151167,0.0000791618,0.00004169374,0.000006670516,0.002455578,0.004001734,0.001110924,0.9898877,0.0002584597,0.0002455329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9821421,0.0000187266,0.0008389402,0.0002659476,0.00007038318,0.0004096828,0.00003923221,0.0003660909,0.01584891],"genre_scores_gemma":[0.9911934,0.00001866252,0.007668128,0.00002212077,0.00003068196,0.0001358654,0.00002883532,0.0000462949,0.0008559986],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01499291,"threshold_uncertainty_score":0.7529238,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03765365769092541,"score_gpt":0.3176544382678461,"score_spread":0.2800007805769207,"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."}}