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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 : 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.
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