{"id":"W2091876458","doi":"10.1016/j.dam.2008.03.011","title":"Variable neighborhood search for extremal graphs. 21. Conjectures and results about the independence number","year":2008,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"Group for Research in Decision Analysis; HEC Montréal","funders":"","keywords":"Mathematics; Combinatorics; Vertex (graph theory); Independence number; Upper and lower bounds; Chromatic scale; Independent set; Invariant (physics); Cardinality (data modeling); Independence (probability theory); Graph; Matching (statistics); Discrete mathematics; Statistics","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":[0.0009105871,0.0002275207,0.0002671062,0.00005845201,0.0005709942,0.0001722432,0.0007060916,0.0001229463,0.000008728036],"category_scores_gemma":[0.00007787329,0.0001471301,0.00006725055,0.0003754275,0.0002396687,0.0001333218,0.0002868407,0.0002400728,0.0000207781],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008774406,"about_ca_system_score_gemma":0.00008335499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001963919,"about_ca_topic_score_gemma":0.000001510918,"domain_scores_codex":[0.9981118,0.00002524167,0.000464261,0.0004774659,0.0004895973,0.0004315749],"domain_scores_gemma":[0.9981939,0.0005787977,0.0001640588,0.0008095782,0.0001324455,0.0001211831],"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":[0.00001923262,0.00004816739,0.00004561009,0.00006920369,0.00002859017,0.000004103097,0.003248609,0.0001245789,0.001081884,0.9938294,0.001074627,0.0004260192],"study_design_scores_gemma":[0.001425464,0.00006144156,0.0001765709,0.00006233986,0.0000308999,0.0002343028,0.0003204725,0.04293064,0.004231751,0.9496585,0.0004869655,0.0003806847],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04623018,0.0003426882,0.9068232,0.000804825,0.000203843,0.001441061,0.0000509981,0.000331464,0.04377178],"genre_scores_gemma":[0.7480824,0.00003877993,0.251254,0.0002662545,0.00001256753,0.00009007616,0.000007402854,0.00002003245,0.0002284577],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7018523,"threshold_uncertainty_score":0.5999793,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02673298283888122,"score_gpt":0.2558371971350205,"score_spread":0.2291042142961393,"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."}}