{"id":"W4409524224","doi":"10.1007/s10107-025-02215-2","title":"The two-stripe symmetric circulant TSP is in P","year":2025,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Dendrimers and Hyperbranched Polymers","field":"Materials Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Circulant matrix; Numerical analysis; Combinatorics; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.0008021113,0.000133344,0.0002290586,0.0001221033,0.0002058609,0.0002685887,0.0003566047,0.00005585882,0.0001933382],"category_scores_gemma":[0.0002497991,0.00008679945,0.00008142494,0.0007199993,0.0001518025,0.00006965267,0.000106883,0.0001510411,0.0003404073],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004840947,"about_ca_system_score_gemma":0.0000461325,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004831461,"about_ca_topic_score_gemma":0.00001605607,"domain_scores_codex":[0.9985808,0.00005748712,0.0003747244,0.0002507197,0.0002544234,0.0004819044],"domain_scores_gemma":[0.9991474,0.0003754024,0.00005689209,0.0003305027,0.0000249604,0.00006489911],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00004210327,0.0004926367,0.00141993,0.0004158982,0.00005007952,0.00005926001,0.001810472,0.000008395871,0.03092825,0.5107258,0.001501074,0.4525461],"study_design_scores_gemma":[0.005988522,0.0002783955,0.002199684,0.00162523,0.000367594,0.0001150026,0.005004648,0.01658253,0.3060483,0.3250026,0.3347626,0.002024875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8446264,0.006086212,0.01649564,0.005526022,0.001352593,0.001588736,0.000007418101,0.0003682559,0.1239487],"genre_scores_gemma":[0.9946054,0.000008563377,0.003629777,0.0002673196,0.00003556759,0.000079908,8.009741e-7,0.00001237104,0.001360351],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4505212,"threshold_uncertainty_score":0.4375361,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01450455266312354,"score_gpt":0.2887132270863128,"score_spread":0.2742086744231892,"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."}}