{"id":"W3010947672","doi":"10.54550/eca2022v2s3r17","title":"The regularity and h-polynomial of Cameron-Walker graphs","year":2022,"lang":"en","type":"article","venue":"Enumerative Combinatorics and Applications","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Division of Mathematical Sciences; Japan Society for the Promotion of Science; Research Institute for Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Integer (computer science); Polynomial; Discrete mathematics; Degree (music); Physics; Computer science","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":["sts"],"consensus_categories":[],"category_scores_codex":[0.0003128311,0.0001061662,0.0001538197,0.00004092823,0.001624151,0.00003484541,0.0001804104,0.00002269369,0.00002810966],"category_scores_gemma":[0.00004774351,0.00008768333,0.00003719023,0.0003508366,0.0002651033,0.00004059448,0.0002703546,0.0002136109,8.388502e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002707026,"about_ca_system_score_gemma":0.00003514921,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001804854,"about_ca_topic_score_gemma":0.000008009736,"domain_scores_codex":[0.9991679,0.0001004649,0.0002412965,0.0001965965,0.0001689799,0.0001247944],"domain_scores_gemma":[0.9985703,0.0007699163,0.0001625753,0.0003319587,0.0001093159,0.00005592348],"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":[0.000004541736,0.0001108891,0.0004406748,0.000008598095,0.00002846234,9.183471e-8,0.0005326586,5.327664e-7,0.0003105438,0.9902225,0.00389533,0.00444515],"study_design_scores_gemma":[0.0002744776,0.0000638404,0.002331834,0.000001723592,0.00003111524,0.000005050551,0.0008650401,0.0001115401,0.0005012199,0.8481402,0.1475663,0.000107696],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9319427,0.009040382,0.02596889,0.007831476,0.0002324541,0.004096796,0.0004494832,0.0001487315,0.02028909],"genre_scores_gemma":[0.9973087,0.0002227132,0.0005184769,0.00003932763,0.00001585172,0.001141603,0.00001068981,0.00001342846,0.0007292471],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1436709,"threshold_uncertainty_score":0.9996756,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01970884932361543,"score_gpt":0.2868594395764853,"score_spread":0.2671505902528699,"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."}}