{"id":"W2951648555","doi":"10.48550/arxiv.1311.6561","title":"Entropy of Symmetric Graphs","year":2013,"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":"University of Waterloo","funders":"","keywords":"Combinatorics; Mathematics; Perfect graph theorem; Perfect graph; Discrete mathematics; Circulant graph; Factor-critical graph; Disjoint sets; Line graph; Windmill graph; Voltage graph; Graph; Graph power","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[{"model":"gemma","categories":[],"domain":null,"study_design":"theoretical_or_conceptual","genre":"empirical","about_ca_system":false,"about_ca_topic":false,"confidence":"low","status":"direct model label, unvalidated"},{"model":"gpt","categories":[],"domain":null,"study_design":"theoretical_or_conceptual","genre":"empirical","about_ca_system":false,"about_ca_topic":false,"confidence":"low","status":"direct model label, unvalidated"}],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001829304,0.0002269428,0.0003678485,0.0004607156,0.00007800168,0.00001597645,0.000670283,0.000252323,0.0002800507],"category_scores_gemma":[0.00008978709,0.0002465602,0.0003247024,0.0008309414,0.0001674054,0.00006914854,0.0004426369,0.0003742245,0.0001041485],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004222663,"about_ca_system_score_gemma":0.0000457015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000587547,"about_ca_topic_score_gemma":0.000004702638,"domain_scores_codex":[0.9989141,0.0001023379,0.0002372236,0.0004706758,0.00006481001,0.000210813],"domain_scores_gemma":[0.9980412,0.0003389593,0.0003835462,0.0009649408,0.000166961,0.0001043909],"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":[0.00001067899,0.0001774096,0.0008704788,0.0001742021,0.0001209873,0.00000703807,0.0000536083,0.0005047253,0.0001157453,0.997166,0.0007325972,0.00006647142],"study_design_scores_gemma":[0.0002315202,0.00002011352,0.0003771242,0.00005838761,0.0002152746,9.900956e-7,0.00007586042,0.002243184,0.0004309097,0.9958829,0.0002416337,0.0002220619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9891749,0.00004282511,0.002982885,0.00002494256,0.0001265482,0.0004448665,0.00004625671,0.0001125372,0.007044249],"genre_scores_gemma":[0.9969777,0.0001470312,0.001004884,0.00001497687,0.00002194092,0.000003256894,0.00001567835,0.00002319153,0.001791379],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007802771,"threshold_uncertainty_score":0.9999987,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09999484324013189,"score_gpt":0.2118254133075535,"score_spread":0.1118305700674216,"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."}}