{"id":"W2401164932","doi":"","title":"The Commuting Graph of the Quaternion Algebra over Residue Classes of Integers.","year":2010,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Quaternion; Residue (chemistry); Quaternion algebra; Graph; Algebra over a field; Discrete mathematics; Combinatorics; Pure mathematics; Division algebra; Filtered algebra; Geometry; Chemistry; Organic chemistry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.0004863101,0.0004216493,0.0005285411,0.001647131,0.001351029,0.002088238,0.0006326516,0.0006871818,0.01401453],"category_scores_gemma":[0.001757449,0.0002459679,0.0003385628,0.001055097,0.001745831,0.003890452,0.0009453875,0.001222567,0.002330352],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007514152,"about_ca_system_score_gemma":0.0006152513,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001440409,"about_ca_topic_score_gemma":0.001497358,"domain_scores_codex":[0.9995622,0.000116947,0.00002039619,0.00009213791,0.0001100507,0.00009821816],"domain_scores_gemma":[0.999195,0.0002365693,0.000164759,0.0001055314,0.000146764,0.0001514276],"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":[0.00002875249,0.0000140739,0.0001490487,0.00001802907,0.00000351714,0.00006411128,0.0001096082,0.0002962178,0.0006417527,0.9905822,0.00199842,0.006094174],"study_design_scores_gemma":[0.00001115604,0.00001242369,0.0002148683,0.000009345636,0.000003653753,0.00009458339,0.00007050329,0.001964843,0.0004768802,0.9915498,0.005583071,0.000008832917],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5067754,0.002146815,0.149282,0.003756898,0.001389616,0.0001205685,0.001243906,0.0007458132,0.3345389],"genre_scores_gemma":[0.9505054,0.0008158362,0.01215189,0.0005545795,0.0004536348,0.00005569797,0.0004866826,0.0001975921,0.03477854],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01401453,"threshold_uncertainty_score":0.04688329,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00715967029032019,"score_gpt":0.2261953475328709,"score_spread":0.2190356772425507,"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."}}