(STRONG) RAINBOW CONNECTION NUMBERS ON CORONA PRODUCT OF PATH AND COMPLETE GRAPHS

Authors

  • Andry Sulistyanto Graph and Algebra Research Group Jurusan Matematika, FMIPA Universitas Jember
  • Ikhsanul Halikin Graph and Algebra Research Group Jurusan Matematika, FMIPA Universitas Jember
  • Kusbudono Kusbudiono Graph and Algebra Research Group Jurusan Matematika, FMIPA Universitas Jember
  • Kristiana Wijaya Graph and Algebra Research Group Jurusan Matematika, FMIPA Universitas Jember

DOI:

https://doi.org/10.25077/jmua.14.4.376-389.2025

Keywords:

Rainbow path, rainbow connection, strong rainbow connection

Abstract

Let G be an edge-colored, where adjacent edges may have the same color. A u-v path in G is a rainbow u-v path if no two edges of u-v path are colored the same. The graph G is called rainbow-connected if G contains a rainbow u-v path for every two vertices u and v of G. A rainbow connection number of rainbow-connected G is the minimum color in G. A rainbow u-v path is called a rainbow u-v geodesic if a rainbow u-v path of length distance from a vertex u to v. A graph G is strongly rainbow-connected if G contains a rainbow u-v geodesic for every two vertices u and v of G. The minimum color of the edges of G such that G is strongly rainbow-connected is the strong rainbow connection number. In this paper, we disccus (strong) rainbow connection number of corona product of path and complete graph. 

References

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Maulani, A., Soya, F.Y.O. P., Dian, S., & Kiki, A.S. (2019). Rainbow Connection Number of C_m⊙P_n and C_m⊙C_n. Indonesian Journal of Combinatorics, 3(2): 95-108.

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Published

31-10-2025

Issue

Vol. 14 No. 4 (2025)

Section

Articles

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