{"id":"W4388906444","doi":"10.46298/dmtcs.11478","title":"Proving exact values for the $2$-limited broadcast domination number on grid graphs","year":2023,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Square (algebra); Mathematics; Square tiling; Combinatorics; Grid; Discrete mathematics; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["sts","scholarly_communication"],"consensus_categories":["sts"],"category_scores_codex":[0.005046352,0.0003408989,0.0003203587,0.0004067439,0.001421598,0.001156431,0.004243841,0.00007239682,0.0000261989],"category_scores_gemma":[0.0009172102,0.0002148431,0.0002227368,0.003491902,0.00318474,0.0008887517,0.001404317,0.0003354764,0.0002263401],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006743138,"about_ca_system_score_gemma":0.00009991986,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.831355e-7,"about_ca_topic_score_gemma":3.181447e-7,"domain_scores_codex":[0.995685,0.0001791968,0.000481145,0.0009940772,0.001576111,0.001084473],"domain_scores_gemma":[0.9929248,0.004582463,0.000170618,0.001668754,0.0003994201,0.0002539542],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001830695,0.00006751343,0.00001156409,0.00004634983,0.00001400368,0.000006028785,0.001440434,0.0004876395,0.0004042029,0.9772242,0.0002986883,0.01998104],"study_design_scores_gemma":[0.0001878878,0.0001322576,0.0001149144,0.00005649565,0.000006972281,0.00001225521,0.00006875375,0.5111797,0.001112219,0.4868674,0.00008578101,0.0001753382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01174292,0.0000112413,0.9813007,0.002333996,0.0007237916,0.001155174,0.00001286477,0.0005078739,0.002211475],"genre_scores_gemma":[0.7799994,0.00001527281,0.219119,0.0003362397,0.0001770432,0.0002107433,0.000006589079,0.00004036445,0.00009540196],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7682565,"threshold_uncertainty_score":0.9998805,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02630655754169781,"score_gpt":0.3233868965664962,"score_spread":0.2970803390247984,"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."}}