{"id":"W2310089532","doi":"","title":"Open Problems on Graph Eigenvalues Studied with AutoGraphiX","year":2012,"lang":"en","type":"article","venue":"Les Cahiers du GERAD","topic":"Graph theory and applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Group for Research in Decision Analysis; HEC Montréal","funders":"","keywords":"Adjacency matrix; Graph energy; Mathematics; Combinatorics; Spectral graph theory; Eigenvalues and eigenvectors; Mathematical proof; Graph theory; Discrete mathematics; Line graph; Strength of a graph; Graph; Voltage graph","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":true,"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":[0.002632634,0.0009261046,0.001323289,0.002965879,0.001641091,0.002281864,0.00156952,0.001790892,0.006610745],"category_scores_gemma":[0.01648147,0.0006950725,0.001216251,0.002074228,0.004958484,0.006029323,0.002675574,0.003611486,0.0007399268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001460378,"about_ca_system_score_gemma":0.0007368434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00112272,"about_ca_topic_score_gemma":0.0004994257,"domain_scores_codex":[0.9983333,0.0007005823,0.00004639143,0.0003382397,0.0004230977,0.0001584214],"domain_scores_gemma":[0.9848053,0.0125733,0.000836166,0.0007757606,0.000624063,0.0003853958],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005920144,0.0000641885,0.0008720595,0.0001476089,0.00002719102,0.0001075441,0.0004268072,0.02231537,0.0009394314,0.9598014,0.002348367,0.01289076],"study_design_scores_gemma":[0.00001978914,0.00002626159,0.0003389705,0.00003460459,0.000009054357,0.00008263406,0.000140237,0.08832089,0.0006584748,0.9079751,0.002377009,0.00001689015],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.358432,0.005937365,0.5671486,0.006721253,0.0003547771,0.00009525235,0.0003013374,0.0005663642,0.06044314],"genre_scores_gemma":[0.8966864,0.003617313,0.08544143,0.0006652022,0.001012543,0.0002165351,0.0003332972,0.0003674375,0.01165984],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006610745,"threshold_uncertainty_score":0.02211517,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05481196267456429,"score_gpt":0.3016105306605067,"score_spread":0.2467985679859425,"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."}}