{"id":"W1984987350","doi":"10.1016/j.jctb.2006.04.002","title":"Symmetric squares of graphs","year":2006,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":69,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Leverhulme Trust","keywords":"Quantum graph; Mathematics; Combinatorics; Spectral line; Graph; Connection (principal bundle); Square (algebra); Discrete mathematics; Physics; Quantum mechanics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001754097,0.0001618005,0.0005337223,0.0004587815,0.00008295391,0.00003488493,0.0004444328,0.000100687,0.000154607],"category_scores_gemma":[0.001896503,0.0001281275,0.0002345196,0.0007674838,0.0002272349,0.0004802329,0.00007578985,0.0003500277,0.000003168656],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006806146,"about_ca_system_score_gemma":0.0001334513,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004045835,"about_ca_topic_score_gemma":0.000001162615,"domain_scores_codex":[0.9976743,0.0003458838,0.0008571398,0.0001021799,0.000764396,0.0002561435],"domain_scores_gemma":[0.9968917,0.001269596,0.0006576914,0.000279978,0.0008133497,0.00008772435],"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":[0.0007913823,0.0002875488,0.0003723204,0.00007107584,0.00006674566,0.00003476862,0.00009419146,0.00001109999,0.002502385,0.9940296,0.001145628,0.0005932005],"study_design_scores_gemma":[0.001266607,0.0007939558,0.0002094294,0.00005684201,0.000039186,0.00006576176,0.0002749327,0.000001280345,0.03816614,0.9570993,0.001905668,0.0001209158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9873425,0.001110573,0.00115796,0.000110014,0.002852901,0.0001995425,0.000007912616,0.00002795701,0.007190647],"genre_scores_gemma":[0.9959708,0.00005998901,0.003155519,0.000006694775,0.000441161,0.000002291832,5.752517e-7,0.00003304255,0.0003299096],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03693037,"threshold_uncertainty_score":0.522489,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01746905239012765,"score_gpt":0.3037454073800924,"score_spread":0.2862763549899647,"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."}}