On the Maximum Diameter of Graphs

Document Type : Original Article

Author
Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Kufa 54003, Iraq.
10.24271/psr.2025.499398.1897
Abstract
Graph theory approaches can be used to investigate a network’s dependability and effectiveness, and the network’s connectivity can be used to assess its dependability. The efficiency of a network is measured by its diameter. In this work, we studied the concept of maximum diameter for a few graph kinds (complete graph, hypercube graph, and generalized Petersen graph). We calculate the maximum diameter values denoted by f(tt,D) of an altered graph G with n (n≥4) vertices, which is obtained by eliminating tt edges from a complete graph Kn that has n vertices and contains the greatest quantity of edges in all simple graphs.
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