{"id":"W2602236496","doi":"10.46298/dmtcs.3055","title":"Cayley and Tutte polytopes","year":2012,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Javna Agencija za Raziskovalno Dejavnost RS; National Science Foundation","keywords":"Combinatorics; Mathematics; Polytope; Cayley graph; Bijection; Humanities; Graph; Art","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":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.002368288,0.00041965,0.0005817105,0.0001835389,0.0004926656,0.0002744954,0.0009714273,0.0001079547,0.0001085581],"category_scores_gemma":[0.001281179,0.0003234305,0.0001055439,0.0006372555,0.002995432,0.0007700085,0.001069238,0.0003103033,0.00007592204],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006958302,"about_ca_system_score_gemma":0.00005243355,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.115551e-7,"about_ca_topic_score_gemma":2.357823e-7,"domain_scores_codex":[0.9965981,0.00008469311,0.0006521067,0.0005115049,0.001021843,0.001131791],"domain_scores_gemma":[0.9965272,0.001399656,0.0002351711,0.001027262,0.0001780811,0.0006326062],"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":[0.000004644232,0.000187768,0.00006506615,0.0001469784,0.00001380531,0.000002817717,0.002963712,9.818382e-7,0.0005897733,0.9949802,0.00006810671,0.0009761013],"study_design_scores_gemma":[0.000281812,0.00009065335,0.00005325058,0.000132506,0.00005567674,0.0001069124,0.0002225281,0.02091927,0.003241685,0.9743499,0.0001043763,0.0004414121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2041337,0.000104715,0.7820768,0.0003443621,0.0008344112,0.0005453415,0.000006594243,0.0003211886,0.01163289],"genre_scores_gemma":[0.6025862,0.000005750162,0.3970201,0.00009052091,0.0002146463,0.00001601663,5.481127e-7,0.00003789264,0.00002840489],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3984524,"threshold_uncertainty_score":0.9999218,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02121192707380036,"score_gpt":0.3019900796177031,"score_spread":0.2807781525439027,"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."}}