Generalized Vertex Transitivity in Graphs

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...

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Hauptverfasser: Balakrishnan, Kannan, Lekha, Divya Sindhu, Changat, Manoj, Anand, Bijo S, Narasimha-Shenoi, Prasanth G
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.1807.00131