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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 PENDIDIKAN MATEMATIKA Jurnal Elemen Indonesian Journal of Applied Statistics Journal of Mathematics and Mathematics Education (JMME) JTAM (Jurnal Teori dan Aplikasi Matematika) JCES (Journal of Character Education Society) Indonesian Journal of Combinatorics Budapest International Research and Critics in Linguistics and Education Journal (Birle Journal) International Journal of Science and Society (IJSOC)
Diari Indriati
Universitas Sebelas Maret, Surakarta, Indonesia
Aerospace Engineering Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Environmental Science Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Neuroscience Nursing Physics Public Health Social Sciences Transportation Other

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Journal : Electronic Journal of Graph Theory and Applications (EJGTA)

 1 
Totally irregular total labeling of some caterpillar graphs Diari Indriati; W. Widodo; Indah E. Wijayanti; Kiki A. Sugeng; Isnaini Rosyida
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 8, No 2 (2020): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2020.8.2.5

Abstract

Assume that G(V,E) is a graph with V and E as its vertex and edge sets, respectively. We have G is simple, connected, and undirected. Given a function λ from a union of V and E into a set of k-integers from 1 until k. We call the function λ as a totally irregular total k-labeling if the set of weights of vertices and edges consists of different numbers. For any u ∈ V, we have a weight wt(u)=λ(u)+ ∑{uy ∈ E} λ(uy). Also, it is defined a weight wt(e)= λ(u)+ λ(uv) + λ(v) for each e=uv ∈ E. A minimum k used in k-total labeling λ is named as a total irregularity strength of G, symbolized by ts(G). We discuss results on ts of some caterpillar graphs in this paper. The results are ts(S{p,2,2,q}) = ⌈ (p+q-1)/2 ⌉ for p, q greater than or equal to 3, while ts(S{p,2,2,2,p}) = ⌈(2p-1)/2 ⌉, p ≥ 4.
Total distance vertex irregularity strength of some corona product graphs Dian Eka Wijayanti; Noor Hidayat; Diari Indriati; Abdul Rouf Alghofari; Slamin Slamin
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 11, No 1 (2023): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2023.11.1.17

Abstract

A distance vertex irregular total k-labeling of a simple undirected graph G = G(V, E), is a function f : V(G)∪E(G)→{1, 2, …, k} such that for every pair vertices u, v ∈ V(G) and u ≠ v, the weights of u and v are distinct. The weight of vertex v ∈ V(G) is defined to be the sum of the label of vertices in neighborhood of v and the label of all incident edges to v. The total distance vertex irregularity strength of G (denoted by tdis(G)) is the minimum of k for which G has a distance vertex irregular total k-labeling. In this paper, we present several results of the total distance vertex irregularity strength of some corona product graphs.
Co-Authors Adinata, Yuda candri Ainun Rahma Firdausy Akrom, Akrom Alghofari, Abdul Rouf Bowo Winarno Budiyono Budiyono Budiyono Budiyono Dhani Nur Hendrayanto Eka Aprilia Enyta Ramadisae Putri Hidayat, Noor Imam Sujadi Indah E. Wijayanti Irfan Setiawan Isnaini Rosyida Isnaini Rosyida, Isnaini Kiki A. Sugeng Krida Singgih Kuncoro Martini, Titin Sri Monika Agnes Henny Kinanti Muhammad Bilal Nugroho Arif Sudibyo Purjiyo Purjiyo Putranto Hadi Utomo Riyadi Riyadi S Slamin Sri Sulistijowati Handajani Sujadi, Imam Tri Atmojo Kusmayadi Trionika Dian Wahyuningsih Triyanto Triyanto Vika Yugi Kurniawan W. Widodo Wijayanti, Dian Eka