{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007487354,0.0001559495,0.0003161895,0.0002486475,0.0001797658,0.0003149376,0.001685902,0.00004688903,0.0000265825],"category_scores_gemma":[0.00005051696,0.00008075823,0.0001496225,0.002096019,0.00006927896,0.0004275248,0.0001799403,0.0006573856,0.00003712912],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001837411,"about_ca_system_score_gemma":0.0002709933,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001348551,"about_ca_topic_score_gemma":0.00001007802,"domain_scores_codex":[0.9983045,0.00009934285,0.0003239419,0.0001904891,0.0005417347,0.000539936],"domain_scores_gemma":[0.9988347,0.0003389392,0.0002085766,0.0003623741,0.0001606832,0.00009475397],"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":[0.00001588183,0.00008470086,0.0001837221,0.000007996558,0.000195073,0.00006038291,0.00006729774,0.000174206,0.00005658313,0.992248,0.003675781,0.003230386],"study_design_scores_gemma":[0.0004723138,0.001116374,0.001553015,0.00004722394,0.0001278198,0.0006722001,0.00007726498,0.008269916,0.0005136599,0.9247409,0.06219254,0.000216824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1420223,0.01539428,0.8303815,0.01005845,0.0008257161,0.0001214258,0.000004582567,0.0001178371,0.001073879],"genre_scores_gemma":[0.9988061,0.0004708926,0.0001107149,0.0001682763,0.00007179957,0.000001308725,8.698333e-7,0.000008183883,0.0003618845],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8567837,"threshold_uncertainty_score":0.3293225,"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."}}