{"id":"W1990941137","doi":"10.1002/jgt.20565","title":"Vizing's conjecture: a survey and recent results","year":2011,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":136,"is_retracted":false,"has_abstract":true,"ca_institutions":"Saint Mary's University","funders":"Furman University","keywords":"Conjecture; Counterexample; Cartesian product; Mathematics; Combinatorics; Domination analysis; Product (mathematics); Graph; Upper and lower bounds; Discrete mathematics; Graph theory","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":[0.007399147,0.0001433705,0.0002626558,0.0004483958,0.0001152806,0.00006363274,0.0009976504,0.00006742127,0.00002377541],"category_scores_gemma":[0.0009736096,0.0001064327,0.00009856641,0.0006942261,0.0002712455,0.0005350364,0.000208825,0.0004395926,0.000005549225],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002083029,"about_ca_system_score_gemma":0.00008691379,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006220008,"about_ca_topic_score_gemma":0.000009592071,"domain_scores_codex":[0.997497,0.001099385,0.0004839502,0.0002313238,0.0003837231,0.0003046533],"domain_scores_gemma":[0.9976615,0.0008541974,0.0004058132,0.000456069,0.0003937112,0.0002287178],"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":[0.003087395,0.0002312887,0.004338917,0.00001696067,0.0002126569,0.0003487841,0.004669136,0.000008753976,0.001257224,0.8628891,0.001121807,0.121818],"study_design_scores_gemma":[0.001152199,0.0006607418,0.03817677,0.0000359783,0.000008084482,0.0004390677,0.00008568075,0.00002503276,0.002929938,0.9547783,0.001536804,0.0001714497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3307824,0.007551708,0.6483178,0.0008577589,0.001679631,0.0003741046,0.00002771713,0.0001125559,0.01029628],"genre_scores_gemma":[0.9788031,0.001134912,0.01968615,0.0002116032,0.00005134655,0.000001328219,5.364737e-7,0.00001477287,0.00009623586],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6480207,"threshold_uncertainty_score":0.4340201,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06090426272339177,"score_gpt":0.294004860554233,"score_spread":0.2331005978308412,"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."}}