{"id":"W2051752542","doi":"10.1016/j.aml.2007.12.020","title":"The <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>L</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-labeling of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si3.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>-free graphs and its applications","year":2008,"lang":"lv","type":"article","venue":"Applied Mathematics Letters","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Graph","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":["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":[0.00778312,0.003926369,0.001658416,0.002350796,0.007818292,0.00564887,0.01015717,0.007348054,0.08288378],"category_scores_gemma":[0.004688624,0.0070215,0.006234343,0.005399597,0.007126668,0.004488978,0.00895295,0.006576365,0.005641161],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009180664,"about_ca_system_score_gemma":0.004400528,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003131911,"about_ca_topic_score_gemma":0.002284302,"domain_scores_codex":[0.9662411,0.001369807,0.007700591,0.006941476,0.009258256,0.008488751],"domain_scores_gemma":[0.9702168,0.007219838,0.008818505,0.008591189,0.000961368,0.004192261],"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":[0.002487842,0.001359863,0.00001539962,0.003704186,0.004651703,0.00209846,0.004540442,0.005104518,0.01258163,0.6802094,0.2805393,0.002707233],"study_design_scores_gemma":[0.006335127,0.003227573,0.00005296165,0.003918293,0.005315185,0.00539,0.003834726,0.1721498,0.7816263,0.00380925,0.008366879,0.005973958],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7647965,0.005610471,0.007202669,0.003075555,0.006776693,0.0004073701,0.00222752,0.00161851,0.2082847],"genre_scores_gemma":[0.9505142,0.005898631,0.01866065,0.006738077,0.003742096,0.006914594,0.003707964,0.003318375,0.0005053952],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7690446,"threshold_uncertainty_score":0.9990625,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01771375619106385,"score_gpt":0.2301670961705764,"score_spread":0.2124533399795125,"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."}}