{"id":"W2075056990","doi":"10.1007/s00373-012-1132-8","title":"On Graphs Having Maximal Independent Sets of Exactly t Distinct Cardinalities","year":2012,"lang":"en","type":"article","venue":"Graphs and Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Saint Mary's University","funders":"","keywords":"Combinatorics; Mathematics; Maximal independent set; Integer (computer science); Degree (music); Independent set; Discrete mathematics; Indifference graph; Chordal graph; Graph; 1-planar graph; Computer science","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":[0.0005354372,0.0002435733,0.0003812197,0.0001896409,0.0002744088,0.00002787602,0.0001908172,0.0001378313,0.00002883972],"category_scores_gemma":[0.0001273896,0.000195163,0.0001803525,0.0002365943,0.0001709366,0.0001256272,0.0001481942,0.0002479386,7.719116e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002090831,"about_ca_system_score_gemma":0.00001120639,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002292903,"about_ca_topic_score_gemma":0.000001699499,"domain_scores_codex":[0.9985656,0.00009587255,0.0003298012,0.0002031447,0.0004132706,0.0003922808],"domain_scores_gemma":[0.9988093,0.0003998744,0.0001807753,0.0003764897,0.00007774567,0.000155819],"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":[0.00003081618,0.0001423056,0.08482332,0.0001334389,0.00006946857,0.000003455517,0.001254431,1.527962e-7,0.00001548491,0.9124277,0.0003615198,0.0007378819],"study_design_scores_gemma":[0.000428894,0.0001488912,0.05840258,0.00004697329,0.00007862804,0.0000198157,0.000454432,0.000004189295,0.0003352143,0.9396325,0.0002236299,0.0002242832],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9907526,0.0008273598,0.00005480198,0.00001194187,0.0008553942,0.0001490938,0.00002805866,0.00006470762,0.007256084],"genre_scores_gemma":[0.9995476,0.00007444904,0.0001649688,0.00003273728,0.00001769747,0.00001188005,0.000003852951,0.00002810109,0.0001186923],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02720474,"threshold_uncertainty_score":0.7958516,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03048515398271141,"score_gpt":0.2755864075653491,"score_spread":0.2451012535826377,"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."}}