{"id":"W4286901735","doi":"10.48550/arxiv.2110.08943","title":"Proving exact values for the $2$-limited broadcast domination number on grid graphs","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Square (algebra); Square tiling; Mathematics; Combinatorics; Grid; Discrete mathematics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003005006,0.001835769,0.001745947,0.0023994,0.001400178,0.003158327,0.003702765,0.001682597,0.01474802],"category_scores_gemma":[0.030057,0.001243155,0.001345062,0.002681897,0.002800496,0.007248987,0.003463935,0.004288281,0.002243893],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003754565,"about_ca_system_score_gemma":0.002074125,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002879818,"about_ca_topic_score_gemma":0.006577671,"domain_scores_codex":[0.9968736,0.0008290461,0.00009839515,0.0006238099,0.0008858545,0.0006893241],"domain_scores_gemma":[0.9740442,0.02033011,0.001413001,0.002494979,0.0009845427,0.0007331849],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000938012,0.0004077294,0.009209462,0.001328497,0.0002780823,0.000606332,0.0007578493,0.479294,0.01879896,0.3707403,0.03257235,0.08506832],"study_design_scores_gemma":[0.00007258864,0.00006744437,0.001386735,0.0001041346,0.00007107083,0.0003027251,0.0001914506,0.5328893,0.00586526,0.4546381,0.00435218,0.00005906421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1544647,0.002062993,0.7634753,0.003859588,0.0002730243,0.0002656797,0.002452507,0.00186483,0.07128129],"genre_scores_gemma":[0.843059,0.0013218,0.1444238,0.0008045057,0.000321707,0.0005885446,0.001312709,0.0007694406,0.007398633],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01474802,"threshold_uncertainty_score":0.04933697,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07982233156300793,"score_gpt":0.2417703291488874,"score_spread":0.1619479975858795,"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."}}