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All Journal Indonesian Journal of Combinatorics
Asmiati, A.
University of Lampung
Computer Science & IT Decision Sciences, Operations Research & Management

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Locating Chromatic Number for Corona Operation of Path and Cycle Hamzah, Nur; Asmiati, A.; Amansyah, Wahyu Dwi
Indonesian Journal of Combinatorics Vol 8, No 2 (2024)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2024.8.2.6

Abstract

The locating chromatic number (lcn) of a graph is a part of discrete mathematic research, there is no general theorem for determining the lcn of any graph. The corona operation of Pn and Cm, denoted by Pn⊙Cm is defined as the graph obtained by taking one copy of Pn and |V(Pn)| copies of Cm and then joining all the vertices of the kth-copy of Cm with the kth-vertex of Pn. In this paper, we discuss the lcn for the corona operation of path and cycle. The lcn of (Pn⊙C3) is 5 for 3 ≤n< 7 and 6 for n≥7. Moreover, the lcn of (Pn⊙C4) is 5 for 3≤n< 6 and 6 for n≥6
The partition dimension of origami graphs and its barbell Fakhira, Luthfia Ayu; Hadi, Nur Wafiqoh; Asmiati, A.; Nurvazly, Dina Eka
Indonesian Journal of Combinatorics Vol 9, No 2 (2025)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2025.9.2.4

Abstract

The origami graph, On, n≥3, is a graph formed by a central cycle with origami folds, where each fold consists of two C3 cycles. The barbell origami graph, BOn for n≥3 is obtained by copying a On and connecting two graphs with a bridge. In this research, we determined the partition dimension of the origami graphs and its barbell.
Co-Authors Amansyah, Wahyu Dwi Dina Eka Nurvazly, Dina Eka Fakhira, Luthfia Ayu Hadi, Nur Wafiqoh Hamzah, Nur