{"id":"W4391629159","doi":"10.1016/j.disc.2024.113915","title":"On a relationship between the characteristic and matching polynomials of a uniform hypertree","year":2024,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"Canadian Stroke Consortium; China Scholarship Council; Natural Science Foundation of Jiangxi Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Combinatorics; Hyperbolic tree; Counterexample; Tree (set theory); Exponent; Conjecture; Boundary (topology); Matching (statistics); Discrete mathematics; Pure mathematics; Hyperbolic geometry","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":[0.0003477093,0.0001350923,0.0002342696,0.00008233149,0.0001357245,0.00009133082,0.0001449189,0.00005668705,0.00003096635],"category_scores_gemma":[0.0002611788,0.0000857928,0.00007993789,0.000165057,0.00008319758,0.00006370846,0.00004630824,0.0001727244,0.00004868191],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001967642,"about_ca_system_score_gemma":0.00001713776,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003457999,"about_ca_topic_score_gemma":0.000001560276,"domain_scores_codex":[0.9991003,0.00003469512,0.0004147,0.0001455787,0.0001791949,0.0001255338],"domain_scores_gemma":[0.9958351,0.003619362,0.0001248792,0.0003492293,0.00002360007,0.0000478153],"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":[0.000002558039,0.00003003165,0.0002490716,0.0004079079,0.00003664339,0.000001172376,0.002379423,9.081648e-7,0.0002562868,0.9958651,0.0004249357,0.0003459591],"study_design_scores_gemma":[0.0001039285,0.00003044395,0.005133148,0.0003837509,0.0001429376,0.00001805979,0.0004711245,0.00107997,0.0002456445,0.99204,0.0002265389,0.0001244984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9656432,0.00005834872,0.02702644,0.001940616,0.00004087019,0.0003983132,0.0001457982,0.0001374141,0.004608998],"genre_scores_gemma":[0.990405,0.000005114854,0.008985544,0.00004488405,0.00005969746,0.00003700715,0.00001623617,0.00003135823,0.0004151845],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02476177,"threshold_uncertainty_score":0.3498529,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06615074844130979,"score_gpt":0.3378207297208488,"score_spread":0.271669981279539,"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."}}