{"id":"W3208171027","doi":"10.1016/j.laa.2024.03.013","title":"Deletion-contraction for a unified Laplacian and applications","year":2024,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Laplace operator; Conjecture; Laplacian matrix; Vertex (graph theory); Eigenvalues and eigenvectors; Interlacing; Laplacian smoothing; Contraction (grammar); Graph; Spanning tree; Discrete mathematics; Computer science; Artificial intelligence; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001442262,0.001044992,0.001251466,0.002533433,0.002260103,0.001794786,0.002105783,0.001822966,0.01134477],"category_scores_gemma":[0.002973242,0.000470257,0.001787529,0.002464039,0.003345016,0.004428258,0.003378931,0.003790102,0.001580346],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009717427,"about_ca_system_score_gemma":0.0007786159,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009393001,"about_ca_topic_score_gemma":0.0009814131,"domain_scores_codex":[0.9992279,0.0002470222,0.00004317388,0.0002069767,0.0001802123,0.00009479083],"domain_scores_gemma":[0.9985294,0.0006047172,0.0001277302,0.0001716627,0.0003345683,0.0002318658],"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":[0.000007679396,0.00001774127,0.0000335082,0.00002546883,0.00000312317,0.00005082618,0.000148146,0.0004791745,0.0006416486,0.9928127,0.00151076,0.004269266],"study_design_scores_gemma":[0.000005169162,0.000009696172,0.00004501965,0.000006333039,0.000004558403,0.0000974558,0.00006731152,0.006031056,0.0002046438,0.9904558,0.003064092,0.000008948682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1196677,0.003105769,0.7147062,0.005463436,0.001994413,0.0001074916,0.0003190204,0.0003832632,0.1542528],"genre_scores_gemma":[0.6857,0.003568713,0.1690844,0.002439982,0.002854358,0.0002933166,0.0004960651,0.0007512292,0.1348119],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01134477,"threshold_uncertainty_score":0.03795201,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0262838352694974,"score_gpt":0.3130012834160383,"score_spread":0.2867174481465409,"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."}}