{"id":"W4413297002","doi":"10.1007/s00236-025-00503-0","title":"On the 3-tree core of plane graphs","year":2025,"lang":"en","type":"article","venue":"Acta Informatica","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Bangladesh University of Engineering and Technology","keywords":"Theory of computation; Core (optical fiber); Tree (set theory); Combinatorics; Mathematics; Computer science; Plane (geometry); Discrete mathematics; Algorithm; Geometry; Telecommunications","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":[0.0003551844,0.00007799948,0.000108177,0.0001795568,0.00009977388,0.00004204346,0.001390553,0.0000307534,0.00003124029],"category_scores_gemma":[0.0003068841,0.000047374,0.00004752221,0.000671325,0.0001334071,0.0003507418,0.0002966498,0.0001731314,0.00005720795],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000110199,"about_ca_system_score_gemma":0.00004842043,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002109356,"about_ca_topic_score_gemma":0.000001738966,"domain_scores_codex":[0.9991937,0.00002734473,0.0002274775,0.00007853941,0.0002746776,0.0001982308],"domain_scores_gemma":[0.9980624,0.0009644598,0.00007164578,0.0008074231,0.00006072866,0.00003335864],"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":[0.00001190839,0.00001466261,0.00005640055,0.00002283617,0.00001471272,6.24264e-7,0.0003830826,0.00001066908,0.0001296473,0.9855483,0.0049721,0.008835013],"study_design_scores_gemma":[0.0002914296,0.0001521762,0.001627105,0.00009812783,0.000003813525,0.000003723651,0.0001816589,0.01323976,0.005570477,0.9713287,0.007392888,0.0001101358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2325833,0.00005335834,0.1231024,0.008271416,0.0004019325,0.0009184903,0.00001548843,0.0002442017,0.6344094],"genre_scores_gemma":[0.9957093,0.000009429232,0.002897733,0.001047515,0.000002300979,0.000015265,0.000001465344,0.000002134263,0.0003148625],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.763126,"threshold_uncertainty_score":0.2584016,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02111892525438423,"score_gpt":0.2857842315970918,"score_spread":0.2646653063427076,"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."}}