{"id":"W2963210532","doi":"10.1016/j.disc.2014.08.023","title":"Almost all <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"> <mml:mi>k</mml:mi> </mml:math> -cop-win graphs contain a dominating set of cardinality <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" display=\"inline\" overflow=\"scroll\"> <mml:mi>k</mml:mi> </mml:math>","year":2014,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Cardinality (data modeling); Vertex (graph theory); Graph; Discrete mathematics; Database; Computer science","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006540365,0.0007364524,0.0007693307,0.001110455,0.001120612,0.00330773,0.001437514,0.0007674448,0.05442055],"category_scores_gemma":[0.004979561,0.0006079212,0.0007083464,0.002137039,0.0007739397,0.004532683,0.001192755,0.001066391,0.02641367],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001294374,"about_ca_system_score_gemma":0.0008352017,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002195883,"about_ca_topic_score_gemma":0.003556132,"domain_scores_codex":[0.9992468,0.00010586,0.00004640104,0.0002352707,0.0002341524,0.0001313705],"domain_scores_gemma":[0.9963559,0.001317227,0.0003282696,0.0009834634,0.0007414388,0.0002737253],"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":[0.000514688,0.0001747224,0.002464834,0.001129652,0.0001080154,0.0005520773,0.001007647,0.004952955,0.01985488,0.4928173,0.291368,0.1850554],"study_design_scores_gemma":[0.00006222123,0.00004928173,0.002594702,0.0001234483,0.00004547152,0.0009693623,0.0004569126,0.006291308,0.01349262,0.4452892,0.5305777,0.00004778831],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0838286,0.002112373,0.3486463,0.006459185,0.0009153056,0.0003371125,0.0302294,0.01083877,0.5166329],"genre_scores_gemma":[0.463854,0.004468152,0.153223,0.002548699,0.0006013516,0.0005644246,0.05232424,0.007197038,0.315219],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.05442055,"threshold_uncertainty_score":0.1820549,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02217636183151206,"score_gpt":0.2696133685318904,"score_spread":0.2474370067003783,"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."}}