{"id":"W2003367147","doi":"10.1016/j.disc.2007.03.034","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math>-Total labelling of graphs","year":2007,"lang":"lv","type":"article","venue":"Discrete Mathematics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":48,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of the Fraser Valley","funders":"Centre National de la Recherche Scientifique","keywords":"Conjecture; Combinatorics; Mathematics; Graph; Vertex (graph theory); Discrete mathematics; Algorithm","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","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity"],"category_scores_codex":[0.005533184,0.002158303,0.001391466,0.001194741,0.002508725,0.002410016,0.00439582,0.003072662,0.000853144],"category_scores_gemma":[0.001806844,0.003046439,0.003074587,0.002940771,0.002424108,0.002024145,0.003431346,0.002926781,0.002295562],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006967842,"about_ca_system_score_gemma":0.001326131,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00131506,"about_ca_topic_score_gemma":0.0004364034,"domain_scores_codex":[0.9820583,0.0005743497,0.004729338,0.003407198,0.004952708,0.004278116],"domain_scores_gemma":[0.9863195,0.002714445,0.00440863,0.003880925,0.0007368414,0.001939632],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0006034171,0.001094089,0.00003512239,0.002775506,0.001977776,0.0008466803,0.007583351,0.003705433,0.004990359,0.9651089,0.007892749,0.003386615],"study_design_scores_gemma":[0.003595067,0.002736455,0.00003248011,0.004600937,0.002416731,0.001613053,0.005116016,0.5822244,0.2529734,0.1396261,0.001429296,0.003636132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9765527,0.003074758,0.009106807,0.000565014,0.003117129,0.0003072186,0.0008091589,0.0008103389,0.005656907],"genre_scores_gemma":[0.9677074,0.001341034,0.02678723,0.001079056,0.000833076,0.0004515423,0.0006250496,0.0009439224,0.0002317245],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8254828,"threshold_uncertainty_score":0.9993735,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01925580421664802,"score_gpt":0.2429960172408542,"score_spread":0.2237402130242062,"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."}}