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Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Open Access Research Article

On the rainbow vertex connection number of general unicyclic graphs

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pp. 1823–1832Vol. 29Issue 4April 2026DOI: 10.47974/JDMSC-2599 Crossmark XML
Received:
01 Apr 2025
Published Online:
23 Mar 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2599
Pages:
1823–1832

Abstract

In a graph G, the distance between any two vertices is defined as the length of the shortest path connecting them. A path in G is termed rainbow vertex-connected if all internal vertices along the path have distinct colors. For every pair of vertices u and v in G, if there exists such a colored u-v path, the graph is considered rainbow vertex-connected. The minimum number of colors required to ensure that a connected graph G satisfies this condition is called the rainbow vertex-connection number, denoted by rvc(G). This study focuses on analyzing the rainbow vertex-connection number specifically for unicyclic graphs.

Keywords

Subject Classifications

05C12

References

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