{"id":"W3104969395","doi":"10.37236/10011","title":"$H$-Chromatic Symmetric Functions","year":2022,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Chromatic scale; Bipartite graph; Combinatorics; Uniqueness; Mathematics; Graph; Symmetric function; Friendship graph; Discrete mathematics; Mathematical analysis; Line graph; Graph power","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008080897,0.0006441677,0.0003979421,0.001464788,0.001220034,0.001647466,0.001096332,0.0006537517,0.00666328],"category_scores_gemma":[0.001288422,0.0002415695,0.000640952,0.001244262,0.002310541,0.002973848,0.001134414,0.001688184,0.001103934],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001278262,"about_ca_system_score_gemma":0.0006986314,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001075605,"about_ca_topic_score_gemma":0.001225043,"domain_scores_codex":[0.9995112,0.0001036882,0.00002013648,0.0001038745,0.0001043746,0.0001566239],"domain_scores_gemma":[0.9992518,0.0002012594,0.00008988587,0.0001462681,0.0001810483,0.0001296091],"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":[0.00001264806,0.00001255605,0.0002622482,0.00001412449,0.000003030576,0.00002446858,0.00008176412,0.0007961128,0.0008862829,0.9903316,0.001086316,0.00648884],"study_design_scores_gemma":[0.000007902856,0.00002621346,0.0006226954,0.00001723294,0.000007443371,0.0001181919,0.0001730003,0.01238726,0.002664169,0.9709438,0.01300595,0.00002623958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4292117,0.000935868,0.3963556,0.001771853,0.0006660372,0.0001255345,0.001072694,0.0003941848,0.1694665],"genre_scores_gemma":[0.9013101,0.0007360814,0.06493809,0.0005699266,0.0003046282,0.0001423617,0.0005388282,0.0001450938,0.03131481],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00666328,"threshold_uncertainty_score":0.02229095,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0329039420937593,"score_gpt":0.314813351223474,"score_spread":0.2819094091297147,"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."}}