{"id":"W76655128","doi":"","title":"A Necessary and Sufficient Condition for a 3-Regular Graph to be Cordial.","year":2007,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Graph; Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001866086,0.0001493624,0.0002309692,0.0002358603,0.0001673309,0.00005169229,0.0001884205,0.00009861013,0.00003273732],"category_scores_gemma":[0.0007743014,0.000148976,0.00006865505,0.0003713423,0.00009975577,0.00008409542,0.0001082203,0.0001300361,0.00001462574],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006032127,"about_ca_system_score_gemma":0.00003080441,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001048604,"about_ca_topic_score_gemma":0.00001561881,"domain_scores_codex":[0.9986117,0.00006552156,0.0002668389,0.0002872848,0.0003264249,0.0004422252],"domain_scores_gemma":[0.9978552,0.001352091,0.00006595483,0.0003389491,0.0001773186,0.0002104577],"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":[0.000194132,0.0002254428,0.0003386436,0.00009514907,0.00002918761,0.0000118492,0.0008430657,6.719628e-7,0.002067799,0.9835635,0.01221452,0.0004159792],"study_design_scores_gemma":[0.00139533,0.0005172884,0.001066657,0.00003254745,0.00002586628,0.000008673917,0.0005601547,0.00006615689,0.004050555,0.9885411,0.003543578,0.0001921234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9944073,0.00005025326,0.002095685,0.0004778749,0.0006586981,0.0009867238,0.00002989333,0.00008717723,0.001206416],"genre_scores_gemma":[0.9973691,0.000003282361,0.001932954,0.0002452865,0.00001624499,0.00008436892,0.00001980474,0.00003931419,0.0002896971],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008670941,"threshold_uncertainty_score":0.6075067,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04543835954980703,"score_gpt":0.3430079223713551,"score_spread":0.2975695628215481,"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."}}