{"id":"W4413472865","doi":"10.61091/jcmcc126-25","title":"Incident vertex pi coloring of middle, total, line and splitting graph for star and double star graph families","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Combinatorics; Star (game theory); Vertex (graph theory); Graph; Physics; Line graph; Mathematics; Astrophysics","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":[0.000219337,0.0003713963,0.0002053955,0.000744788,0.0007723398,0.0006029299,0.0005737588,0.0003009103,0.005752736],"category_scores_gemma":[0.001021488,0.0001826087,0.0005946924,0.000749108,0.0006064779,0.001102734,0.0006239666,0.00115839,0.0007100137],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008783249,"about_ca_system_score_gemma":0.0006478513,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00369702,"about_ca_topic_score_gemma":0.003949394,"domain_scores_codex":[0.9997926,0.00003612199,0.000006802862,0.00007194823,0.000053186,0.00003939649],"domain_scores_gemma":[0.9996405,0.00008957145,0.00003199299,0.00005750993,0.0001182,0.0000622418],"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":[0.00005266353,0.00006665522,0.002255059,0.0001581683,0.00002172978,0.0004645345,0.000534843,0.03043477,0.007924616,0.8834847,0.01249019,0.06211199],"study_design_scores_gemma":[0.00002147355,0.00006828302,0.00182687,0.00005120311,0.00004357707,0.0009075977,0.0004192137,0.1914631,0.005714896,0.7561372,0.0433066,0.00003992413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1419581,0.0006141633,0.7673105,0.0005766161,0.0002436466,0.00009996263,0.0004490464,0.0004458745,0.08830202],"genre_scores_gemma":[0.7811505,0.001300555,0.1874231,0.0004266858,0.0001899464,0.0001279067,0.0009697354,0.0002630649,0.0281485],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005752736,"threshold_uncertainty_score":0.01924485,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01920914963813342,"score_gpt":0.2528456847550669,"score_spread":0.2336365351169334,"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."}}