{"id":"W3045612354","doi":"10.1090/proc/15126","title":"Regularity and ℎ-polynomials of toric ideals of graphs","year":2020,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Combinatorics; Algebra over a field; Pure mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007137447,0.00054302,0.0007055397,0.001747987,0.001698709,0.002446714,0.0008328811,0.00046501,0.008117096],"category_scores_gemma":[0.002974249,0.00047963,0.001100729,0.001088454,0.003865318,0.003163563,0.001903014,0.002005676,0.001499957],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001859188,"about_ca_system_score_gemma":0.0007324413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00294903,"about_ca_topic_score_gemma":0.003028349,"domain_scores_codex":[0.9990855,0.0001590341,0.00003967044,0.0002326149,0.0002311613,0.0002519533],"domain_scores_gemma":[0.9980549,0.0007593401,0.0003018331,0.0001954689,0.0003422194,0.0003463512],"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":[0.0001155831,0.00002378396,0.0007208343,0.0000588304,0.00001421522,0.0001067898,0.0004532807,0.001735227,0.0009840077,0.9885085,0.001816775,0.005462129],"study_design_scores_gemma":[0.00002979856,0.00004523649,0.001241246,0.00001780422,0.00001821549,0.0001540693,0.000275012,0.006612771,0.001541449,0.9851263,0.004911158,0.00002699706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.74339,0.0007304983,0.09561656,0.002498491,0.0002998899,0.00008409134,0.001009507,0.0006288176,0.1557422],"genre_scores_gemma":[0.9693573,0.0003418541,0.007809923,0.0001899084,0.0002340953,0.00003824907,0.0004895542,0.0001249141,0.02141412],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008117096,"threshold_uncertainty_score":0.02715445,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0313365141750896,"score_gpt":0.2863835986839019,"score_spread":0.2550470845088123,"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."}}