{"id":"W4388938474","doi":"10.1002/jgt.23060","title":"A graph polynomial from chromatic symmetric functions","year":2023,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Chromatic polynomial; Mathematics; Tutte polynomial; Combinatorics; Chromatic scale; Symmetric function; Discrete mathematics; Elementary symmetric polynomial; Graph; Symmetric polynomial; Polynomial; Matrix polynomial; Voltage graph; Line graph; Orthogonal polynomials; Mathematical analysis; Difference polynomials","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":[0.0003634936,0.0003407656,0.0002314515,0.001091738,0.0005107207,0.0009743798,0.0004332799,0.000340945,0.005124779],"category_scores_gemma":[0.001634965,0.0001047905,0.0004282566,0.001078572,0.001430794,0.001740241,0.0007180859,0.001457774,0.0005283935],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001206851,"about_ca_system_score_gemma":0.0007228498,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002089429,"about_ca_topic_score_gemma":0.001864689,"domain_scores_codex":[0.9997162,0.00005067435,0.000007384611,0.00004893974,0.0001093181,0.00006748591],"domain_scores_gemma":[0.9992487,0.0003327815,0.00009469775,0.00007605224,0.0001609661,0.00008677102],"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":[0.00003193905,0.0000201552,0.0003149077,0.00003189875,0.000003853711,0.00006040055,0.0001348677,0.005655343,0.004099695,0.9748924,0.001698854,0.01305563],"study_design_scores_gemma":[0.00001848468,0.00005344686,0.001328108,0.00002262612,0.00001036338,0.0002737287,0.00016069,0.05499347,0.005374428,0.919214,0.01852212,0.0000285042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5904523,0.0006298868,0.2975665,0.001456475,0.000345606,0.00007676046,0.0005516954,0.0002692251,0.1086516],"genre_scores_gemma":[0.9616253,0.0004064757,0.02240735,0.0001461838,0.0002082013,0.00002583809,0.0002376754,0.0001002778,0.01484267],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005124779,"threshold_uncertainty_score":0.01714408,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03316427340480621,"score_gpt":0.2986389176558069,"score_spread":0.2654746442510006,"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."}}