{"id":"W4389067604","doi":"10.1016/j.dam.2023.11.042","title":"Vertex-critical <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e185\" altimg=\"si23.svg\"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mi>ℓ</mml:mi><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>-free and vertex-critical (gem, co-gem)-free graphs","year":2023,"lang":"lv","type":"article","venue":"Discrete Applied Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph; University of Prince Edward Island; Wilfrid Laurier University","funders":"","keywords":"Combinatorics; Vertex (graph theory); Mathematics; Graph; Clique number; Discrete mathematics","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":["metaresearch","metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.008165802,0.003729036,0.001456196,0.003070286,0.005917838,0.00718551,0.01213686,0.0085957,0.7451517],"category_scores_gemma":[0.01083483,0.0078085,0.006524046,0.006506391,0.01036277,0.005491507,0.01222595,0.007430942,0.007973899],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007592288,"about_ca_system_score_gemma":0.0053708,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002908201,"about_ca_topic_score_gemma":0.004094398,"domain_scores_codex":[0.9627606,0.001991517,0.007063694,0.007303268,0.01051492,0.01036606],"domain_scores_gemma":[0.9676624,0.01033958,0.005520301,0.009620259,0.0009586579,0.005898788],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.003867284,0.001040451,0.00001855325,0.004451017,0.003886167,0.004764961,0.003675141,0.00160881,0.00422793,0.4883786,0.4803123,0.003768681],"study_design_scores_gemma":[0.006736955,0.004945271,0.0001224778,0.004459967,0.005452338,0.006445158,0.006053768,0.036553,0.910742,0.005653653,0.005780431,0.00705491],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1715221,0.004021979,0.008789769,0.002843609,0.007193052,0.0002370115,0.002845807,0.0014773,0.8010694],"genre_scores_gemma":[0.9537618,0.004456209,0.01501177,0.004471664,0.004999681,0.007300087,0.005151418,0.004072869,0.0007744821],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9065142,"threshold_uncertainty_score":0.997543,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01951351404606487,"score_gpt":0.264985636913285,"score_spread":0.2454721228672201,"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."}}