{"id":"W4410586790","doi":"10.1007/s11587-025-00971-z","title":"On vertex peripherians and Wiener index of graphs with fixed number of cut vertices","year":2025,"lang":"en","type":"article","venue":"Ricerche di Matematica","topic":"Graph theory and applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Wiener index; Mathematics; Vertex (graph theory); Combinatorics; Topological index; Index (typography); Discrete mathematics; Graph; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002262988,0.0001386697,0.0003516177,0.0000751702,0.00006189659,0.0000147893,0.0001617321,0.00007481349,0.0001750299],"category_scores_gemma":[0.0001955624,0.00009864736,0.00005412486,0.0003732989,0.0001935146,0.00006008497,0.00003946806,0.00009150194,0.000006974442],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001039098,"about_ca_system_score_gemma":0.00002844284,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001191271,"about_ca_topic_score_gemma":0.00001193549,"domain_scores_codex":[0.9991018,0.00009130093,0.0003515483,0.0001634975,0.0001567573,0.0001350549],"domain_scores_gemma":[0.9984434,0.0008587064,0.0001629558,0.0004053373,0.00009014177,0.0000394598],"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":[0.00009080252,0.0002764347,0.00283556,0.001773094,0.0001330462,5.263494e-7,0.0009109955,0.000005524525,0.00218796,0.991498,0.0001662118,0.0001218517],"study_design_scores_gemma":[0.0005475589,0.0000647737,0.007803008,0.0006784881,0.0002117956,0.00000380203,0.0008036469,0.0004643994,0.009100597,0.9801403,0.00004485568,0.0001367946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9701898,0.00001778442,0.001562087,0.0001438511,0.00001807735,0.0003223472,0.0000121964,0.0000330316,0.02770086],"genre_scores_gemma":[0.9966064,0.00001039334,0.002674435,0.00005160732,0.000001947645,0.00006695097,0.000001899242,0.00001420879,0.0005721694],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02712869,"threshold_uncertainty_score":0.4022723,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01836141869515161,"score_gpt":0.3118140349250577,"score_spread":0.293452616229906,"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."}}