{"id":"W4406372334","doi":"10.46298/dmtcs.13438","title":"Eulerian $k$-dominating reconfiguration graphs","year":2025,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Mount Allison University","funders":"Natural Sciences and Engineering Research Council of Canada; Mount Allison University; Universities Space Research Association","keywords":"Eulerian path; Combinatorics; Mathematics; Vertex (graph theory); Dominating set; Graph; Discrete mathematics; Lagrangian; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":["metaepi_narrow","sts","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.003144682,0.0002964929,0.0003544782,0.0006772369,0.0008755376,0.001084113,0.004004476,0.00007881319,0.00005461881],"category_scores_gemma":[0.0006071344,0.000246653,0.0001416542,0.003314623,0.002931766,0.00119593,0.001483073,0.000350073,0.00006835037],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007827879,"about_ca_system_score_gemma":0.0002011396,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001071166,"about_ca_topic_score_gemma":6.757714e-7,"domain_scores_codex":[0.9964529,0.0001782957,0.0005866449,0.000971249,0.0009492594,0.0008616601],"domain_scores_gemma":[0.9968066,0.000808229,0.0001495395,0.001574266,0.0004031448,0.0002582265],"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":[0.000004800035,0.00005592177,0.000016557,0.00004084113,0.000009078637,0.000006627201,0.0006750716,0.00004960544,0.00243699,0.9725382,0.00003293554,0.02413332],"study_design_scores_gemma":[0.0001511303,0.00004708836,0.00006014372,0.0000892501,0.000004175781,0.00001053533,0.00004388771,0.407241,0.005482288,0.5866621,0.00003932569,0.0001691405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.006997004,0.00003020801,0.9550558,0.001393094,0.0005132637,0.0003993737,0.000001972369,0.0002863723,0.0353229],"genre_scores_gemma":[0.5968457,0.000004090035,0.4027775,0.0002562664,0.00002408357,0.00002470927,0.000001029953,0.000009368792,0.00005724622],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5898488,"threshold_uncertainty_score":0.9999986,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01472033709827064,"score_gpt":0.3009374581463309,"score_spread":0.2862171210480603,"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."}}