{"id":"W4404413602","doi":"10.37236/12984","title":"Simplicial Complexes with Many Facets are Vertex Decomposable","year":2024,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; Javna Agencija za Raziskovalno Dejavnost RS","keywords":"Vertex (graph theory); Combinatorics; Simplicial complex; Mathematics; Graph","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005023609,0.0006036116,0.0008250771,0.001371796,0.001754284,0.003788217,0.0008648204,0.0007203449,0.006352208],"category_scores_gemma":[0.003696755,0.000946492,0.0006806338,0.001327279,0.002720354,0.004398298,0.002641513,0.001339389,0.0004840952],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001336254,"about_ca_system_score_gemma":0.0004491732,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001393144,"about_ca_topic_score_gemma":0.001696525,"domain_scores_codex":[0.9990626,0.00008142857,0.00005876748,0.0002348873,0.0003338562,0.0002285728],"domain_scores_gemma":[0.9972948,0.0009686237,0.0004064064,0.0004204084,0.0002575976,0.0006521832],"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":[0.0004012168,0.00009233427,0.01059235,0.0001426497,0.00005259352,0.0009723319,0.0009874136,0.009620713,0.01629625,0.9288345,0.002190402,0.02981733],"study_design_scores_gemma":[0.00006131433,0.00007112987,0.005823609,0.00003834133,0.00004649648,0.001438666,0.0009207172,0.03581554,0.009961458,0.9347922,0.01098532,0.0000453146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9292912,0.0003827965,0.04340513,0.0003481717,0.00004426874,0.00005165112,0.0003705198,0.0001778833,0.02592836],"genre_scores_gemma":[0.9868779,0.0001835168,0.00859111,0.00006772415,0.00002892249,0.00003334935,0.000608873,0.00003112452,0.003577515],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006352208,"threshold_uncertainty_score":0.02125031,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007737977919089127,"score_gpt":0.2329950582611353,"score_spread":0.2252570803420462,"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."}}