{"id":"W2036495097","doi":"10.1016/j.laa.2008.04.031","title":"On acyclic and unicyclic graphs whose minimum rank equals the diameter","year":2008,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Graph theory and applications","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Combinatorics; Rank (graph theory); Graph; Discrete mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002212413,0.0001861752,0.0001995655,0.00008490485,0.0007612076,0.00002994592,0.0002279708,0.00009048019,0.00004462736],"category_scores_gemma":[0.00009972062,0.0001307526,0.00007551026,0.0003655117,0.000252513,0.00007717793,0.00005477372,0.000201425,0.0000822711],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000489115,"about_ca_system_score_gemma":0.00001358283,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000266966,"about_ca_topic_score_gemma":0.000003642529,"domain_scores_codex":[0.998951,0.00007585293,0.000287914,0.0003325834,0.0001364505,0.0002162532],"domain_scores_gemma":[0.9978119,0.00134861,0.0001079714,0.0005672988,0.0000424318,0.0001218614],"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":[0.000006543491,0.0001379414,0.00006224587,0.00001605581,0.00003147436,4.166477e-7,0.0004834574,4.599572e-7,0.001512119,0.9943163,0.001208001,0.002225004],"study_design_scores_gemma":[0.0004692691,0.00005400097,0.001087989,0.00001660713,0.00008025855,0.00003308107,0.0001464326,0.0003786495,0.002302019,0.973887,0.02130617,0.0002385052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9880353,0.0007127175,0.004820928,0.002382818,0.0000221365,0.001211495,0.00005646426,0.0001340351,0.002624104],"genre_scores_gemma":[0.994724,0.0008300068,0.001612085,0.0008290239,0.00008312039,0.0007940132,0.00001692996,0.00003184354,0.001078945],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02042926,"threshold_uncertainty_score":0.585467,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04379135326752401,"score_gpt":0.2986209952555503,"score_spread":0.2548296419880263,"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."}}