{"id":"W2136122855","doi":"10.1016/j.laa.2004.05.011","title":"On distance matrices and Laplacians","year":2004,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Graph theory and applications","field":"Mathematics","cited_by":114,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Distance matrix; Combinatorics; Distance matrices in phylogeny; Matrix (chemical analysis); Resistance distance; Laplacian matrix; Inverse; Grid; Tree (set theory); Graph; Geometry; Line graph; Graph power","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":[0.00007993645,0.0001040881,0.0001066314,0.00004464474,0.0002799759,0.00002749995,0.0000906985,0.00005064483,0.00002072099],"category_scores_gemma":[0.000032048,0.00009194142,0.00002406516,0.0002001213,0.00006217216,0.00006024895,0.00002480664,0.00009042629,0.00006150745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000754273,"about_ca_system_score_gemma":0.00001010745,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001686182,"about_ca_topic_score_gemma":0.000007783775,"domain_scores_codex":[0.9994262,0.00001023019,0.0001462864,0.0002213528,0.00007424034,0.000121648],"domain_scores_gemma":[0.9994127,0.000202977,0.00005687877,0.0002176859,0.00002935707,0.00008036644],"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":[0.000004102642,0.00008883845,0.00001407374,0.00002991294,0.000007868731,2.082638e-7,0.0001448634,0.000003400005,0.0003007004,0.9983715,0.0001116689,0.0009228612],"study_design_scores_gemma":[0.0002504392,0.00002637778,0.0001786097,0.00001831689,0.0000266021,0.00000642742,0.00008135945,0.00006031289,0.001079383,0.9787042,0.01944907,0.0001188802],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9131601,0.001106459,0.0699707,0.004331592,0.00002471909,0.001242118,0.0001504762,0.0002960339,0.00971776],"genre_scores_gemma":[0.9940565,0.0003268196,0.004534596,0.0002329348,0.00006380727,0.0003174489,0.00001208782,0.00001689411,0.0004389321],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08089633,"threshold_uncertainty_score":0.3749262,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01686434030436172,"score_gpt":0.283984919567014,"score_spread":0.2671205792626523,"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."}}