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All Journal International Journal of Evaluation and Research in Education (IJERE) Electronic Journal of Graph Theory and Applications (EJGTA) Jurnal Matematika & Sains AKSIOMA: Jurnal Program Studi Pendidikan Matematika Jurnal Elemen Indonesian Journal of Applied Statistics Journal of Mathematics and Mathematics Education (JMME) BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) JCES (Journal of Character Education Society) Indonesian Journal of Combinatorics Jurnal Matematika UNAND Budapest International Research and Critics in Linguistics and Education Journal (Birle Journal) Mosharafa: Jurnal Pendidikan Matematika International Journal of Science and Society (IJSOC) International Journal on Education Insight Himpunan: Jurnal Ilmiah Mahasiswa Pendidikan Matematika Mathema: Jurnal Pendidikan Matematika International Journal of Computing Science and Applied Mathematics-IJCSAM
Diari Indriati
Universitas Sebelas Maret, Surakarta, Indonesia
Agriculture, Biological Sciences & Forestry Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Journal : Indonesian Journal of Combinatorics

 1 
Computing total edge irregularity strength of some n-uniform cactus chain graphs and related chain graphs Isnaini Rosyida; Diari Indriati
Indonesian Journal of Combinatorics Vol 4, No 1 (2020)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2020.4.1.6

Abstract

Given graph G(V,E). We use the notion of total k-labeling which is edge irregular. The notion of total edge irregularity strength (tes) of graph G means the minimum integer k used in the edge irregular total k-labeling of G. A cactus graph G is a connected graph where no edge lies in more than one cycle. A cactus graph consisting of some blocks where each block is cycle Cn with same size n is named an n-uniform cactus graph. If each cycle of the cactus graph has no more than two cut-vertices and each cut-vertex is shared by exactly two cycles, then G is called n-uniform cactus chain graph. In this paper, we determine tes of n-uniform cactus chain graphs C(Cnr) of length r for some n ≡ 0 mod 3. We also investigate tes of related chain graphs, i.e. tadpole chain graphs Tr(4,n) and Tr(5,n) of length r. Our results are as follows: tes(C(Cnr)) = ⌈(nr + 2)/3⌉ ; tes(Tr(4,n)) = ⌈((5+n)r+2)/3⌉ ; tes(Tr(5,n)) = ⌈((5+n)r+2)/3⌉.
Edge irregular reflexive labeling on sun graph and corona of cycle and null graph with two vertices Irfan Setiawan; Diari Indriati
Indonesian Journal of Combinatorics Vol 5, No 1 (2021)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2021.5.1.5

Abstract

Let G(V,E) be a simple and connected graph which set of vertices is V and set of edges is E. Irregular reflexive k-labeling f on G(V,E) is assignment that carries the numbers of integer to elements of graph, such that the positive integer {1,2, 3,...,ke} assignment to edges of graph and the even positive integer {0,2,4,...,2kv} assignment to vertices of graph. Then, we called as edge irregular reflexive k-labelling if every edges has different weight with k = max{ke,2kv}. Besides that, there is definition of reflexive edge strength of G(V,E) denoted as res(G), that is a minimum k that using for labeling f on G(V,E). This paper will discuss about edge irregular reflexive k-labeling for sun graph and corona of cycle and null graph, denoted by Cn ⨀ N2 and make sure about their reflexive edge strengths.
Reflexive Edge Strength on Slanting Ladder Graph and Corona of Centipede and Null Graph Ispriyanto, Mochamad Raffli; Indriati, Diari; Utomo, Putranto Hadi
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.2024.8.2.3

Abstract

Assume G is a graph that is simple, undirected, and connected. If every edge label is a positive integer in the range 1 to ke, and every vertex label is a non-negative even number from 0 to 2kv, then a graph G is considered to have an edge irregular reflexive k-labeling, where k is defined as the maximum of ke and 2kv. The edge weight wt(ab) in the graph G, for the labeling λ, is defined as the function wt applied to the edge ab. The symbol res(G) denotes the reflexive edge strength, which is the largest label of the smallest k. The results of this research are as follows: res(SLm) for m≥2 is ⌈(3m−3)/3⌉ for 3m−3 ≢ 2, 3 (mod 6), and ⌈(3m−3)/3⌉+1 for 3m−3 ≡ 2, 3 (mod 6). res(Cpn ⊙ Nm) for n≥2, m≥1 is ⌈(2nm+2n−1)/3⌉ for 2nm+2n−1 ≢ 2, 3 (mod 6), and ⌈(2nm+2n−1)/3⌉+1 for 2nm+2n−1 ≡ 2, 3 (mod 6).
Co-Authors Abdul Rouf Alghofari Adinata, Yuda candri Ainun Rahma Firdausy Akrom, Akrom Azzahra, Tsabita Bowo Winarno Budiyono Budiyono Budiyono Budiyono Dian Eka Wijayanti Eka Aprilia Enyta Ramadisae Putri Farida Nurhasanah Handajani, Sri Sulistijowati Hendrayanto, Dhani Nur Hidayat, Noor Husin, Mohamad Nazri Imam Sujadi Imam Sujadi Imam Sujadi Indah E. Wijayanti Irfan Setiawan Isnaini Rosyida Isnaini Rosyida, Isnaini Ispriyanto, Mochamad Raffli Kiki A. Sugeng Krida Singgih Kuncoro Kusmayadi, Tri Atmojo Martini, Titin Sri Monika Agnes Henny Kinanti Muhammad Bilal Noviyanti, Ika Nurma Nugroho Arif Sudibyo Purjiyo Purjiyo Putranto Hadi Utomo Riyadi Riyadi Rofiah, Faizatur S Slamin Salsabila, Khairina Altaf Slamin Sujadi, Imam Tata Rahmasari Tri Atmojo Kusmayadi Trionika Dian Wahyuningsih Triyanto, Triyanto Utami, Risma Listya Vika Yugi Kurniawan W. Widodo Wijayanti, Dian Eka Winarno, Bowo Zalsa, Thetania Miftakul Zalzabila, Lutfiah Alifia