{"id":"W1981970597","doi":"10.1016/j.disc.2006.03.054","title":"Sums of powers of the degrees of a graph","year":2006,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Combinatorics; Sums of powers; Graph; 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":[],"consensus_categories":[],"category_scores_codex":[0.0003168111,0.0001204982,0.0003317036,0.00006645325,0.00004239488,0.000003767279,0.0003725466,0.00005772653,0.0000401758],"category_scores_gemma":[0.0001419119,0.00007771752,0.0002645919,0.0003640258,0.000338617,0.00003122501,0.0000670002,0.00006806033,0.000001485727],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004582121,"about_ca_system_score_gemma":0.00001817091,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002428445,"about_ca_topic_score_gemma":0.00002113605,"domain_scores_codex":[0.9988661,0.00003992128,0.0006175489,0.00009404934,0.0002581321,0.0001242705],"domain_scores_gemma":[0.9982068,0.000404601,0.0006074558,0.0006599879,0.0001021912,0.0000189533],"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":[0.000004105859,0.0001734321,0.0006221337,0.0004992514,0.00003576697,8.79998e-8,0.0008283194,0.00002659104,0.0117271,0.9857363,0.00032799,0.0000189434],"study_design_scores_gemma":[0.0001675521,0.00002222404,0.000802642,0.0001704951,0.0001051327,0.000002347549,0.00086235,0.0001903296,0.0680093,0.9295462,0.00004079106,0.00008068358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9803874,0.0000562499,0.005762168,0.00006352748,0.00002969128,0.0003450834,0.00008495102,0.00002054466,0.01325036],"genre_scores_gemma":[0.9760631,0.000003893094,0.02361689,0.000002997792,0.000008212999,0.0000138143,0.000002909841,0.00001825575,0.0002698863],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05628219,"threshold_uncertainty_score":0.3169229,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02136883443742171,"score_gpt":0.2740425652291751,"score_spread":0.2526737307917534,"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."}}