{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.003281849,0.0006047973,0.001326362,0.0006514973,0.0004928738,0.0001178874,0.002688702,0.0002936694,0.0002195031],"category_scores_gemma":[0.003103087,0.000454059,0.000779274,0.001472361,0.0001186511,0.0001565925,0.001435506,0.006417101,0.0000191197],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002871303,"about_ca_system_score_gemma":0.002089261,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004436781,"about_ca_topic_score_gemma":0.00000187155,"domain_scores_codex":[0.9942459,0.0006906914,0.001844036,0.0003200516,0.001872287,0.001026977],"domain_scores_gemma":[0.9907658,0.00316608,0.003661342,0.001555,0.0006922091,0.0001595302],"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":[0.00004234126,0.000617685,0.00001362856,0.0003315517,0.0005871187,0.00003226781,0.0004435508,0.0003700654,0.00001188468,0.9927852,0.004574155,0.0001905953],"study_design_scores_gemma":[0.0009434645,0.0007356783,0.000008551146,0.0001502702,0.0009047071,0.0005131923,0.000570407,0.0002615569,0.00006258274,0.9883696,0.007063832,0.0004161924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5171894,0.04075569,0.3545525,0.005629247,0.05015898,0.004867397,0.00006366357,0.0007431376,0.02603995],"genre_scores_gemma":[0.9954622,0.001040737,0.0004442606,0.00003891404,0.0005143861,0.00007077222,0.000005280714,0.0001757611,0.002247664],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4782728,"threshold_uncertainty_score":0.9997911,"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."}}