{"id":"W3109334948","doi":"10.5070/c61055380","title":"A combinatorial Schur expansion of triangle-free horizontal-strip LLT polynomials","year":2021,"lang":"en","type":"article","venue":"Combinatorial Theory","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Natural Sciences and Engineering Research Council","funders":"","keywords":"Combinatorics; Mathematics; Symmetric function; Schur polynomial; Schur's lemma; Chromatic polynomial; Graph; Symmetric polynomial; Lambda; Schur's theorem; Polynomial; Matrix polynomial; Orthogonal polynomials; Macdonald polynomials; Physics; Difference polynomials; Mathematical analysis","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":[0.000369602,0.0004169111,0.0002907457,0.001604577,0.0006415017,0.0009683914,0.0006263995,0.0003732759,0.008154945],"category_scores_gemma":[0.001708206,0.0002030576,0.0005128534,0.001199296,0.001623169,0.001563424,0.0007979615,0.001215553,0.0008580107],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00094102,"about_ca_system_score_gemma":0.0003142126,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000878941,"about_ca_topic_score_gemma":0.001115544,"domain_scores_codex":[0.9997314,0.00005263367,0.000007370117,0.00004912946,0.00008849528,0.00007090676],"domain_scores_gemma":[0.9993754,0.0002537883,0.00008470076,0.00005839007,0.0001393247,0.00008851356],"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":[0.00007809207,0.00003385389,0.0007483134,0.00006771892,0.000007759894,0.0002611426,0.000287633,0.004849943,0.01073582,0.9659027,0.001501371,0.01552569],"study_design_scores_gemma":[0.00004446275,0.0001137642,0.001898607,0.00002746823,0.00002080361,0.0006696976,0.0002515367,0.0736904,0.008433853,0.9070058,0.007793852,0.0000497037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6970819,0.0004073603,0.2270314,0.0006941572,0.0001452356,0.00006946251,0.0001914698,0.000302174,0.07407683],"genre_scores_gemma":[0.9773673,0.0001728852,0.01155171,0.0001102837,0.000102187,0.0000331521,0.00009291231,0.00006492242,0.01050469],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008154945,"threshold_uncertainty_score":0.02728105,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0362319952775802,"score_gpt":0.3034238420470795,"score_spread":0.2671918467694993,"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."}}