{"id":"W3206275166","doi":"","title":"A method for proving lower bounds 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":"Cartesian product; Grid; Upper and lower bounds; Path (computing); Product (mathematics); Mathematics; Computer science; Yield (engineering); Cartesian coordinate system; Combinatorics; Discrete mathematics; Computer network; Geometry; Physics","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":[0.004086261,0.002702108,0.002048089,0.004920551,0.001657476,0.00358261,0.003990826,0.001421033,0.01158998],"category_scores_gemma":[0.02423337,0.001123023,0.002653018,0.004547646,0.00341304,0.006797397,0.005108169,0.007794003,0.002629476],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002927198,"about_ca_system_score_gemma":0.001475509,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002468746,"about_ca_topic_score_gemma":0.003188605,"domain_scores_codex":[0.9963182,0.0009055981,0.0001754912,0.0006589403,0.001487622,0.0004540894],"domain_scores_gemma":[0.9703204,0.02263888,0.00117882,0.003555053,0.001626175,0.0006806548],"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":[0.0005900961,0.0003994539,0.005043847,0.001553623,0.0003659932,0.0006122813,0.0009753566,0.1970853,0.02829546,0.5890957,0.02590061,0.1500823],"study_design_scores_gemma":[0.00008299138,0.000135226,0.00127381,0.0001566343,0.0001507728,0.0003930296,0.0001232143,0.3364187,0.009448935,0.6368921,0.01484581,0.00007870044],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01711851,0.0009794326,0.9605955,0.0008818122,0.0001785742,0.0001589058,0.0005450022,0.0008803523,0.01866196],"genre_scores_gemma":[0.4996131,0.003190393,0.4786623,0.00126679,0.00100965,0.002077696,0.002196611,0.001130865,0.01085256],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01158998,"threshold_uncertainty_score":0.03877234,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08241547423905698,"score_gpt":0.2687666741549569,"score_spread":0.1863511999158999,"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."}}