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Shankar, Narayani, S B, Chandrakala, B, Sooryanarayana. (1405). Local multiset dimension of Triangular snake graph with an application to Truss Structures. , (), -. doi: 10.22049/cco.2026.30438.2467
Narayani R Shankar; Chandrakala S B; Sooryanarayana B. "Local multiset dimension of Triangular snake graph with an application to Truss Structures". , , , 1405, -. doi: 10.22049/cco.2026.30438.2467
Shankar, Narayani, S B, Chandrakala, B, Sooryanarayana. (1405). 'Local multiset dimension of Triangular snake graph with an application to Truss Structures', , (), pp. -. doi: 10.22049/cco.2026.30438.2467
Shankar, Narayani, S B, Chandrakala, B, Sooryanarayana. Local multiset dimension of Triangular snake graph with an application to Truss Structures. , 1405; (): -. doi: 10.22049/cco.2026.30438.2467

Local multiset dimension of Triangular snake graph with an application to Truss Structures

Communications in Combinatorics and Optimization
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 مرداد 1405
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2026.30438.2467
نویسندگان
Narayani R Shankar* 1؛ Chandrakala S B2؛ Sooryanarayana B2
1Department of Mathematics, Research Scholar, Nitte Meenakshi Institute of Technology, Bangalore, Karnataka, India
2Department of Mathematics, Professor, Nitte Meenakshi Institute of Technology, NITTE Deemed to be University
چکیده
A truss is a framework made up of beams and joints, creating a rigid structure, usually arranged in a triangular formation, that supports a load and is the building block of many structures. Truss structures, are essential in engineering for spanning long distances efficiently and can be monitored with high accuracy, using the concept of local multiset dimension (LMD) in graph theory. LMD determines the minimum reference points needed to uniquely locate adjacent vertices in a graph. Applying this concept to truss structures, increases the efficiency of structural monitoring by deducing the optimal placement for sensors, and real-time monitoring, improving the safety, reliability, and performance of truss systems across diverse engineering applications. The local multiset basis of triangular snake graphs is discussed in this paper, and their local multiset dimension is determined. As an application, LMD is obtained for some common truss structures.
کلیدواژه‌ها
Local multiset basis؛ Metric dimension؛ Multiset dimension
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