{"id":"W4414785425","doi":"10.37236/13199","title":"Degree-Similar Graphs","year":2025,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Natural Science Foundation of Shandong Province; University of Waterloo; China Postdoctoral Science Foundation","keywords":"Degree matrix; Invertible matrix; Adjacency matrix; Laplacian matrix; Diagonal matrix; Degree (music); Converse; Diagonal; Matrix (chemical analysis)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005243117,0.0005540684,0.0005186415,0.001681483,0.001482558,0.001591288,0.00116093,0.0009269376,0.008005981],"category_scores_gemma":[0.004551307,0.0004255946,0.000726057,0.001575355,0.001574527,0.002796054,0.00150667,0.001082589,0.001290275],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009173139,"about_ca_system_score_gemma":0.0004674597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001008357,"about_ca_topic_score_gemma":0.00132423,"domain_scores_codex":[0.9986706,0.0003015709,0.00004929136,0.0004924355,0.0002713412,0.0002148505],"domain_scores_gemma":[0.9969671,0.0009828063,0.0005576601,0.0006251353,0.000511413,0.0003559075],"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":[0.00007527216,0.00004752755,0.001075599,0.00007773935,0.00003829614,0.000347205,0.0005635923,0.005411489,0.00483688,0.9664216,0.004507468,0.01659724],"study_design_scores_gemma":[0.00002597118,0.0000344652,0.001063135,0.00002252674,0.0000325289,0.0007575984,0.0002584395,0.01812288,0.001878616,0.9580748,0.01969869,0.00003025614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4030089,0.0008194453,0.5084274,0.001731149,0.0002823532,0.000363397,0.001912961,0.0006077495,0.08284669],"genre_scores_gemma":[0.9021983,0.0007726051,0.069505,0.0008436895,0.0002059535,0.0002695725,0.001725774,0.0001635341,0.02431564],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008005981,"threshold_uncertainty_score":0.02678263,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01392191746935994,"score_gpt":0.2820883461614702,"score_spread":0.2681664286921103,"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."}}