English

Generalized Vertex Transitivity in Graphs

Discrete Mathematics 2018-09-03 v5 Group Theory

Abstract

In this paper, we introduce a generalized concept of vertex transitivity in graphs called generalized vertex transitivity. We put forward a new invariant called transitivity number of a graph. The value of this invariant in different classes of graphs is explored. Also, different results showing the importance of this concept is established.

Keywords

Cite

@article{arxiv.1807.00131,
  title  = {Generalized Vertex Transitivity in Graphs},
  author = {Kannan Balakrishnan and Divya Sindhu Lekha and Manoj Changat and Bijo S. Anand and Prasanth G. Narasimha-Shenoi},
  journal= {arXiv preprint arXiv:1807.00131},
  year   = {2018}
}
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