Edge and mixed metric dimension of Johnson graphs

2024/07/10 by Jozef Kratica, Kratica, Jozef, Mirjana Čangalović +5
Computer Science · #05C12 #Combinatorics (math.CO) #FOS: Mathematics #G.2.1 #G.2.2 #Graph Labeling and Dimension Problems

paper · pdf · doi:10.48550/arxiv.2407.07851

openalex publication_date 2024/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, both edge and mixed metric dimensions of Johnson graphs J_n,k are considered. A new tight lower bound for β_E(J_n,k) based on hitting sets has been obtained. Using this bound, exact values for β_E(J_n,2) and β_M(J_n,2) have been derived, and it is proved that β_E(J_n,2) = β_M(J_n,2).

Related

• The mixed metric dimension of flower snarks and wheels
• Equidistant dimension of Johnson and Kneser graphs
• A note on the metric and edge metric dimensions of 2-connected graphs
• Mixed metric dimension of graphs with edge disjoint cycles
• Metric dimension of some distance-regular graphs