{"id":"W2118264190","doi":"10.1016/j.laa.2006.12.018","title":"Spectrally arbitrary patterns: Reducibility and the 2n conjecture for n=5","year":2007,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"Redeemer University","funders":"","keywords":"Sign (mathematics); Mathematics; Counterexample; Conjecture; Converse; Combinatorics; Matrix (chemical analysis); Spectrum (functional analysis); Pure mathematics; Geometry; Mathematical analysis; Physics; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0003741901,0.00009310149,0.000114364,0.00002382577,0.0001302793,0.00002304871,0.00007707809,0.00005970105,0.000009127073],"category_scores_gemma":[0.00001102473,0.00006557492,0.00003847806,0.0000793528,0.00005913403,0.00004289073,0.00001076661,0.000103637,0.000003925835],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004442836,"about_ca_system_score_gemma":0.000004172039,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002690651,"about_ca_topic_score_gemma":0.00001153674,"domain_scores_codex":[0.9994797,0.00001262336,0.0001654995,0.0001609661,0.00004198798,0.0001392505],"domain_scores_gemma":[0.9995261,0.0001892488,0.00002052796,0.0001981972,0.00001821158,0.00004772139],"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":[0.00008799199,0.00003620883,0.0005296825,0.0003529939,0.00009844855,6.004856e-7,0.001157608,0.00004740756,0.003295276,0.9846864,0.0003409465,0.009366434],"study_design_scores_gemma":[0.008711221,0.0003058525,0.04986708,0.0001710027,0.0004371275,0.0002384638,0.002629963,0.04093527,0.06993156,0.5821037,0.2428264,0.001842435],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9256051,0.003396698,0.06679458,0.0004657913,0.00008588614,0.001418168,0.00007531126,0.0001740679,0.001984465],"genre_scores_gemma":[0.9989199,0.0001334798,0.0003011543,0.0001423966,0.000219633,0.000173095,0.00001647452,0.00001424453,0.00007963032],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4025827,"threshold_uncertainty_score":0.2674068,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006290351665928973,"score_gpt":0.218329590273513,"score_spread":0.212039238607584,"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."}}