{"id":"W1991134730","doi":"10.1016/s0024-3795(99)00253-0","title":"A tree whose complement is not eigensharp","year":2000,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Graph theory and applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Combinatorics; Complement (music); Bipartite graph; Adjacency matrix; Partition (number theory); Upper and lower bounds; Graph; Eigenvalues and eigenvectors; Tree (set theory); 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001335222,0.0001532937,0.0001697726,0.00004854987,0.0003746282,0.00003347946,0.000198312,0.00006154213,0.003416383],"category_scores_gemma":[0.00001151657,0.0001429326,0.0000706966,0.0002604966,0.00005699122,0.00006751769,0.00003618861,0.0001159719,0.0007669433],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007096634,"about_ca_system_score_gemma":0.00001483154,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003871598,"about_ca_topic_score_gemma":0.000007268315,"domain_scores_codex":[0.9990205,0.00002479005,0.0002979313,0.0003116835,0.0001329381,0.0002121396],"domain_scores_gemma":[0.999145,0.0001648089,0.00006333295,0.0004414886,0.00005623734,0.0001291643],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000007980586,0.0001833715,0.00002145622,0.00002631033,0.00002837751,2.17824e-7,0.0004103913,4.330512e-7,0.001087331,0.9643357,0.0056122,0.02828617],"study_design_scores_gemma":[0.0004204977,0.00003278446,0.0004478161,0.0000134269,0.00007968751,0.000009373147,0.0001386147,0.001128007,0.006355708,0.4948537,0.4962625,0.0002578179],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.918571,0.0005825593,0.008363616,0.009911719,0.00003048174,0.00326772,0.0008009655,0.0005581357,0.05791382],"genre_scores_gemma":[0.9753123,0.000335513,0.01054251,0.001927195,0.0002342166,0.001367682,0.00009099938,0.00004503207,0.01014455],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4906503,"threshold_uncertainty_score":0.9974946,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04929656059834209,"score_gpt":0.3190757051264937,"score_spread":0.2697791445281517,"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."}}