Wiener index of C6C4 mesh topology
T. M. Rajalaxmi, P. B. Sailusha, Maahirah Samiullah, R. Arputhaselvi, C. Jenisha Christy
Source abstract
In graph theory, there are many quantitative values that are usually graph invariant and one such invariant that characterizes the structure or topology of a graph is called as topological index. Wiener index is one of the significant indices that quantifies the total of all shortest-path distances in the topology of a graph. After gaining recognition in the mid 20th century, its applications continue range across various fields including network theory, chemical graph theory, social network analysis and combinatorics. Here, we analyse and determine the Wiener index for the C6 C4 mesh topology-a combination of graphs constructed by interconnecting cycles of order 6 (C6) and order 4 (C4) in a mesh-like arrangement. We present unique formulas for the Wiener index of C6 C4 meshes, obtained from the wirelength of their respective embeddings.
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