Transit Index of Subdivision Graphs

Authors

  • K. M. Reshmi Department of Mathematics, Government Engineering College, Kozhikode
  • Raji Pilakkat Department of Mathematics, University of Calicut, Malappuram

DOI:

https://doi.org/10.26713/cma.v12i3.1565

Keywords:

Transit index, Majorized shortest path, Transit decomposition, Subdivision graph

Abstract

The concept of transit of a vertex and transit index of a graph was defined by the authors in their previous work. The transit of a vertex v is "the sum of the lengths of all shortest path with v as an internal vertex” and the transit index of a graph \(G\) is the sum of the transit of all the vertices of it. In this paper, we investigate transit index of sub-division graphs.

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References

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Published

30-09-2021
CITATION

How to Cite

Reshmi, K. M., & Pilakkat, R. (2021). Transit Index of Subdivision Graphs. Communications in Mathematics and Applications, 12(3), 581–588. https://doi.org/10.26713/cma.v12i3.1565

Issue

Vol. 12 No. 3 (2021)

Section

Research Article

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