On Resolvability of Graphs Associated with Vector Spaces

Authors

  • Gopinath Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeshwaram, India. Author
  • Mageshwaran K Department of Mathematics, Rajalakshmi Engineering College, Chennai, Tamil Nadu, India. Author
  • Kalaimurugan G Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, India. Author

DOI:

https://doi.org/10.47363/JPMA/2024(2)111

Keywords:

Vector Space, Finite Dimensional, Resolving Set, Metric Dimension, Partition Dimension, Nonzero Component Union Graph, Linear Dependence

Abstract

Let V be a n-dimensional vector space over the field F with a basis B={α1,α2,…,αn }. In this paper, we obtain the resolving parameters like metric dimension and partition dimension of graphs associated with vector space. Also, found the values of metric-locating-domination number, locating-domination number, and bipartite decomposition of kind of graph associated with vector space. 

Author Biographies

  • Gopinath , Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeshwaram, India.

    Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeshwaram, India.

  • Mageshwaran K, Department of Mathematics, Rajalakshmi Engineering College, Chennai, Tamil Nadu, India.

    Department of Mathematics, Rajalakshmi Engineering College, Chennai, Tamil Nadu, India.

  • Kalaimurugan G, Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, India.

    Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, India.

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Published

2024-03-07

Issue

Vol. 2 No. 2 (2024): Volume 2 Issue 2

Section

Articles