{"id":"W4414581280","doi":"10.61091/jcmcc127-17","title":"\\(\\left(s,s+1,s+1,\\dots\\right)\\)-packing colorings and \\(\\left(1,s,s,\\dots\\right)\\)-packing colorings and d-distance colorings of distance graphs \\(D(1,t)\\)","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Upper and lower bounds; Graph; Vertex (graph theory); Bound graph; Chromatic scale; Wheel graph; Windmill graph; Graph power","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.000213486,0.0006445887,0.0003188559,0.0004569832,0.0009908283,0.001386123,0.0007720539,0.0006030141,0.03848986],"category_scores_gemma":[0.0008157332,0.0004424904,0.0006124732,0.0009900017,0.001201657,0.001567965,0.001514052,0.001409582,0.008959564],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008668622,"about_ca_system_score_gemma":0.0005393351,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003594412,"about_ca_topic_score_gemma":0.005134357,"domain_scores_codex":[0.999616,0.00004123171,0.00001938165,0.000125491,0.00007979816,0.0001179455],"domain_scores_gemma":[0.9993575,0.00009809742,0.00006781855,0.0002283402,0.0001256216,0.0001227402],"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":[0.000951975,0.0002600479,0.001754672,0.0003561081,0.00003324694,0.0006206798,0.0006380889,0.01514791,0.06004026,0.5601919,0.1058815,0.2541237],"study_design_scores_gemma":[0.000169336,0.0003774904,0.005574293,0.0001269767,0.00004652939,0.001437709,0.001007104,0.1078799,0.09656101,0.4759531,0.3107354,0.0001312846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1558605,0.0003607697,0.5490597,0.001419046,0.001477987,0.0003292442,0.003354536,0.006833839,0.2813043],"genre_scores_gemma":[0.4155901,0.0004375807,0.4046703,0.0009488583,0.0001225781,0.0003545989,0.004784037,0.002980712,0.1701112],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03848986,"threshold_uncertainty_score":0.1287614,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01121806104491321,"score_gpt":0.2712087827179902,"score_spread":0.259990721673077,"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."}}