{"id":"W2613198330","doi":"10.1016/j.laa.2017.05.016","title":"The distance spectrum of complements of trees","year":2017,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Graph theory and applications","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Fundamental Research Funds for the Central Universities; National Natural Science Foundation of China","keywords":"Mathematics; Spectral radius; Distance matrix; Combinatorics; Distance matrices in phylogeny; Eigenvalues and eigenvectors; Spectrum (functional analysis); Graph; Minimum distance; Order (exchange); 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001082067,0.0006138664,0.001178082,0.004616736,0.002121631,0.004752714,0.001511039,0.001458567,0.006413319],"category_scores_gemma":[0.005046408,0.0006102898,0.0007118796,0.003319342,0.00457183,0.00638348,0.002847431,0.002249922,0.0005797477],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001751802,"about_ca_system_score_gemma":0.0008051847,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001924791,"about_ca_topic_score_gemma":0.00129338,"domain_scores_codex":[0.9988691,0.0003219285,0.00004996714,0.0002392814,0.000362302,0.0001573328],"domain_scores_gemma":[0.9958749,0.002263779,0.0004802664,0.0002004105,0.0004953934,0.000685229],"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":[0.00001951437,0.000009751638,0.0001164333,0.00001716111,0.000003680045,0.00001934025,0.0001404816,0.000539099,0.0003190574,0.9960968,0.0003326245,0.00238607],"study_design_scores_gemma":[0.000006705337,0.000007054198,0.0001445898,0.00001120112,0.000003941634,0.00005207686,0.0001035849,0.004802091,0.0001595337,0.993634,0.001067391,0.000007714889],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7013544,0.00299428,0.1965825,0.002676197,0.0003212754,0.00003512499,0.0004928494,0.0001827308,0.09536061],"genre_scores_gemma":[0.9693942,0.001318452,0.01779089,0.0003609988,0.0005032396,0.00005583711,0.0003242161,0.00009454238,0.0101577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006413319,"threshold_uncertainty_score":0.02145463,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04095037157535835,"score_gpt":0.3363329604987585,"score_spread":0.2953825889234001,"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."}}