{"id":"W2075048357","doi":"10.1016/j.disc.2013.04.013","title":"The inertia of distance matrices of some graphs","year":2013,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Government of Shandong Province; National Natural Science Foundation of China","keywords":"Mathematics; Combinatorics; Eigenvalues and eigenvectors; Inertia; Distance matrix; Graph; Discrete mathematics; Distance matrices in phylogeny; Matrix (chemical analysis)","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":[0.0009141986,0.0007408659,0.0007863767,0.003072827,0.001124777,0.002594246,0.001381823,0.001047717,0.006526177],"category_scores_gemma":[0.005270461,0.0004841526,0.0006726477,0.001408369,0.003291268,0.003614655,0.001673498,0.002046045,0.0006247801],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009304127,"about_ca_system_score_gemma":0.0004396218,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001001747,"about_ca_topic_score_gemma":0.0007656698,"domain_scores_codex":[0.9990411,0.0002144481,0.00005553251,0.0002442121,0.0002826954,0.0001619396],"domain_scores_gemma":[0.9949051,0.002300572,0.0009404913,0.0003883773,0.0004712924,0.0009941105],"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":[0.00004857432,0.00002222964,0.0003415962,0.00003268474,0.000008522689,0.0000781329,0.0004042782,0.001561396,0.001813505,0.9901125,0.0009879185,0.004588765],"study_design_scores_gemma":[0.00002463353,0.00004802485,0.0008234223,0.00001577213,0.0000115013,0.000190015,0.0001621177,0.01647216,0.0007637889,0.9783402,0.003116277,0.00003209015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6810011,0.001446498,0.2598033,0.002424926,0.0005210078,0.00007225516,0.0005179743,0.00024932,0.05396358],"genre_scores_gemma":[0.9691537,0.0007039008,0.0163499,0.000381316,0.0008564724,0.00006700076,0.0003320818,0.0001286673,0.01202684],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006526177,"threshold_uncertainty_score":0.02183223,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01840319989120429,"score_gpt":0.2777834953767149,"score_spread":0.2593802954855106,"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."}}