{"id":"W1593036127","doi":"10.37236/701","title":"Minimum Light Numbers in the $\\sigma$-Game and Lit-Only $\\sigma$-Game on Unicyclic and Grid Graphs","year":2011,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Algorithms and Data Compression","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Science and Technology Commission of Shanghai Municipality; National Natural Science Foundation of China; Fundamental Research Funds for the Central Universities; West Virginia University","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Graph; Connectivity; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.001737635,0.0002339177,0.000309529,0.0001982775,0.0001731632,0.0001574224,0.001759385,0.00009192093,0.000003816496],"category_scores_gemma":[0.00006015388,0.000130778,0.00008588302,0.0006269797,0.0001130054,0.0005593018,0.0002829329,0.001051994,0.000002378272],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009546801,"about_ca_system_score_gemma":0.0002382296,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003787679,"about_ca_topic_score_gemma":0.00001634247,"domain_scores_codex":[0.9977885,0.0003634223,0.0004490143,0.000263667,0.0005403183,0.0005950268],"domain_scores_gemma":[0.9984024,0.0003555286,0.000381048,0.000649875,0.00009278587,0.0001184201],"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":[0.00009070106,0.0002778452,0.0008995913,0.000009870848,0.00004992499,0.00005990467,0.004537195,0.000006971272,0.0000712046,0.9866158,0.001052786,0.006328234],"study_design_scores_gemma":[0.001897261,0.002035928,0.008326557,0.0001160226,0.00005058287,0.001176596,0.0003784553,0.001778082,0.0004203663,0.9667789,0.01671401,0.0003272315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.95423,0.01305051,0.02380381,0.004835043,0.001228254,0.0003866831,0.000002593407,0.00004241847,0.002420705],"genre_scores_gemma":[0.9962503,0.003114271,0.00009115271,0.0003869438,0.00008303892,0.000002668913,5.479212e-7,0.00001333959,0.0000577283],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04202032,"threshold_uncertainty_score":0.5332972,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0113143985163594,"score_gpt":0.2159538119016936,"score_spread":0.2046394133853342,"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."}}