{"id":"W111494185","doi":"","title":"The total number of maximal k-independent sets in the generalized lexicographical product of graphs.","year":2005,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Data Management and Algorithms","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Lexicographical order; Mathematics; Product (mathematics); Combinatorics; Discrete mathematics; Geometry","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":[0.001006013,0.0001224397,0.00016779,0.00007553249,0.00008999486,0.00009409699,0.001568217,0.00003302013,0.000008312946],"category_scores_gemma":[0.00003063407,0.0000743644,0.0001007433,0.0007413595,0.0001322812,0.000381169,0.0003695804,0.0001624424,0.000009896219],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001099022,"about_ca_system_score_gemma":0.00002444795,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005962513,"about_ca_topic_score_gemma":0.00001402973,"domain_scores_codex":[0.9984092,0.0001643982,0.0003432512,0.0002750277,0.0005467533,0.0002614207],"domain_scores_gemma":[0.9988367,0.00009470268,0.0001364712,0.0008424098,0.00005911281,0.00003058746],"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":[0.00001084249,0.0002398739,0.005361155,0.000007558504,0.00002576375,0.000005487958,0.0002694169,0.00001156453,0.00007369598,0.9772626,0.001669258,0.01506279],"study_design_scores_gemma":[0.003037164,0.0001846059,0.1818887,0.00003523159,0.00003343391,0.0000436921,0.0001576693,0.009994889,0.003073179,0.7947522,0.006389065,0.0004101966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9939779,0.0001826248,0.0001686588,0.002820613,0.0008284571,0.0003153887,0.000004142933,0.00002844635,0.001673752],"genre_scores_gemma":[0.9976246,0.0000504343,0.002139486,0.00006490048,0.0000104339,0.00001990373,0.000004253333,0.000005693514,0.00008027555],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1825104,"threshold_uncertainty_score":0.3032492,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01236665333728714,"score_gpt":0.2557627499748185,"score_spread":0.2433960966375314,"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."}}