Distance-Based Fractional Dimension of Certain Wheel Networks

Metric dimension is one of the distance-based parameters which are used to find the position of the robot in a network space by utilizing lesser number of notes and minimum consumption of time. It is also used to characterize the chemical compounds. The metric dimension has a wide range of applications in the field of computer science such as integer programming, radar tracking, pattern recognition, robot navigation, and image processing. A vertex in a network resolves the adjacent pair of vertices if attains an unequal distance from end points of . A local resolving neighbourhood set is a set of vertices of which resolve . A mapping is called local resolving function of if for any adjacent pair of vertices of of and the minimal value of for all local resolving functions of is called local fractional metric dimension of . In this paper, we have studied the local fractional metric dimension of wheel-related networks such as web-wheel network, subdivision of wheel network, line network of subdivision of wheel network, and double-wheel network and also examined their boundedness.