{"id":"W2383996974","doi":"10.1016/j.laa.2016.04.028","title":"The nowhere-zero eigenbasis problem for a graph","year":2016,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Combinatorics; Graph; Zero (linguistics); Connectivity; 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":[0.0002220237,0.00008282837,0.00007133181,0.00002686886,0.000501338,0.00007687411,0.00045825,0.00003508398,0.000006568091],"category_scores_gemma":[0.00001883433,0.00004359705,0.00004849019,0.0001993288,0.00004804035,0.0001508974,0.00008827802,0.00003571529,0.00005976429],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004910768,"about_ca_system_score_gemma":0.0000227393,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.181608e-7,"about_ca_topic_score_gemma":0.000001953336,"domain_scores_codex":[0.9993312,0.00002000863,0.0001442766,0.0002451784,0.00007412912,0.0001851541],"domain_scores_gemma":[0.9990872,0.0003557912,0.00005412649,0.0003532186,0.00007742029,0.00007224851],"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":[0.000001968971,0.00001525212,0.000005406603,0.000006583233,0.000008467818,4.769254e-8,0.00003949908,3.895473e-7,0.0006582632,0.8400409,0.0005024833,0.1587208],"study_design_scores_gemma":[0.000254869,0.00004157665,0.00004446668,0.000008925998,0.000008518411,0.000004777965,0.000007608046,0.002521139,0.004037153,0.5495651,0.4433832,0.0001227231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0007785555,0.0005493399,0.9907254,0.006318823,0.00004144607,0.0006469797,0.00002121639,0.0001013433,0.0008168833],"genre_scores_gemma":[0.6850667,0.00313619,0.2737631,0.001781626,0.001199456,0.00798092,0.00001612307,0.00007802507,0.02697791],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7169623,"threshold_uncertainty_score":0.3855937,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01123115118946282,"score_gpt":0.2438642406519054,"score_spread":0.2326330894624425,"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."}}