{"id":"W2102915841","doi":"10.1016/j.laa.2008.06.001","title":"On the energy of (0,1)-matrices","year":2008,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":26,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Mathematics; Bipartite graph; Combinatorics; Incidence matrix; Energy (signal processing); Upper and lower bounds; Matrix (chemical analysis); Order (exchange); Block (permutation group theory); Discrete mathematics; Graph; Statistics; Mathematical 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0000365418,0.00005189051,0.00006299539,0.00002827033,0.00009006014,0.000002978531,0.00007827883,0.00002731665,0.00002684575],"category_scores_gemma":[0.000004192951,0.00003569137,0.00002283083,0.0001472492,0.0000277472,0.00002159362,0.000006942315,0.00003923691,0.00002365425],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000001709409,"about_ca_system_score_gemma":0.000002707212,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002598937,"about_ca_topic_score_gemma":6.821773e-7,"domain_scores_codex":[0.9997252,0.000009870483,0.00009722074,0.00005931574,0.00004881524,0.00005962736],"domain_scores_gemma":[0.9997083,0.0001025317,0.00001721197,0.0001334663,0.00001534603,0.0000231633],"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":[0.000001610012,0.0000130974,0.0000179752,0.00001565589,0.00001479603,1.514631e-7,0.0001222715,0.0001987703,0.002295303,0.996058,0.0007471597,0.000515208],"study_design_scores_gemma":[0.0008606644,0.0002630964,0.002639678,0.0001114412,0.0001024008,0.0001048104,0.0006173689,0.07083719,0.2396677,0.1624479,0.5213806,0.0009671481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9698368,0.003173902,0.009528789,0.0001478842,0.00005627565,0.0002271065,0.00002488193,0.0001503896,0.01685402],"genre_scores_gemma":[0.9991557,0.0004400382,0.0000254751,0.0000473009,0.00005148913,0.00008179649,0.000003265509,0.000007743642,0.0001871832],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8336101,"threshold_uncertainty_score":0.1455452,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009411546547281841,"score_gpt":0.1907039965116182,"score_spread":0.1812924499643363,"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."}}