{"id":"W2189028915","doi":"10.1080/09728600.2007.12088828","title":"Energy of a set of vertices in a Graph","year":2007,"lang":"en","type":"article","venue":"AKCE International Journal of Graphs and Combinatorics","topic":"Graph theory and applications","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"Women's College Hospital","funders":"","keywords":"Mathematics; Combinatorics; Vertex (graph theory); Incidence matrix; Eigenvalues and eigenvectors; Diagonal; Graph energy; Graph; Diagonal matrix; Discrete mathematics; Graph power; Physics; Geometry; Line graph; Quantum mechanics","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":[0.0005071104,0.0004090238,0.0006376295,0.001647,0.0006088736,0.001636198,0.000891365,0.0007970534,0.003486488],"category_scores_gemma":[0.002152248,0.0002603651,0.0004097063,0.001410908,0.001427231,0.002227728,0.001102185,0.0004907426,0.0002973653],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006368992,"about_ca_system_score_gemma":0.0002436286,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003648943,"about_ca_topic_score_gemma":0.0004179978,"domain_scores_codex":[0.9995298,0.0000854881,0.00003383776,0.0001256511,0.0001456651,0.00007945648],"domain_scores_gemma":[0.999079,0.0004718162,0.0001199057,0.0001218256,0.00008871494,0.0001186725],"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":[0.0002018599,0.00005919543,0.008194965,0.0003046372,0.0001537957,0.0004484133,0.0007215593,0.09435811,0.02511755,0.8401526,0.001579765,0.02870759],"study_design_scores_gemma":[0.00001726002,0.00009142887,0.006459043,0.00006589432,0.00005629305,0.0007512859,0.0006018248,0.1823173,0.005918839,0.7962782,0.007403257,0.00003927985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7196782,0.0006751597,0.256508,0.0009504875,0.00008162521,0.00005050218,0.0009198069,0.0001285853,0.02100767],"genre_scores_gemma":[0.965551,0.0004327329,0.02648888,0.0001029034,0.00007722792,0.00009054504,0.0003904407,0.00006210435,0.006804132],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003486488,"threshold_uncertainty_score":0.01166344,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02262815510995592,"score_gpt":0.3114747062233684,"score_spread":0.2888465511134125,"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."}}