{"id":"W4391055591","doi":"10.1016/j.ejc.2024.103926","title":"Exact values and improved bounds on <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e2259\" altimg=\"si125.svg\"><mml:mi>k</mml:mi></mml:math>-neighborly families of boxes","year":2024,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Institute for Basic Science","keywords":"Mathematics; Combinatorics","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":[0.00470926,0.001911976,0.001982166,0.00468985,0.002495685,0.007039102,0.006820495,0.002784176,0.03653931],"category_scores_gemma":[0.03044656,0.001466146,0.002083707,0.004083148,0.003724682,0.01495083,0.006137225,0.007500501,0.008418616],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004777423,"about_ca_system_score_gemma":0.002323438,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002678751,"about_ca_topic_score_gemma":0.005613434,"domain_scores_codex":[0.9956322,0.0009801425,0.0001871509,0.0008968503,0.001232781,0.001070778],"domain_scores_gemma":[0.9685789,0.02309899,0.001043012,0.003732776,0.002010406,0.001535854],"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":[0.0006705095,0.0002409851,0.00299656,0.0006420307,0.000117872,0.0001598033,0.0005636986,0.03737636,0.002644898,0.8634796,0.04034654,0.05076127],"study_design_scores_gemma":[0.00005566751,0.00005604721,0.001183924,0.0001934069,0.00008411324,0.0001808007,0.0001434911,0.06423543,0.002137145,0.9219306,0.009731209,0.00006814927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.1848054,0.007685204,0.5511178,0.009635159,0.001202142,0.0002559258,0.007150354,0.002990014,0.235158],"genre_scores_gemma":[0.7221006,0.003934672,0.218342,0.00204771,0.001432905,0.0007990893,0.006040532,0.00254007,0.04276245],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.03653931,"threshold_uncertainty_score":0.1222362,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01324828004086623,"score_gpt":0.2291654039856636,"score_spread":0.2159171239447973,"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."}}