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All Journal LOGIK@ CAUCHY: Jurnal Matematika Murni dan Aplikasi Electronic Journal of Graph Theory and Applications (EJGTA) InPrime: Indonesian Journal Of Pure And Applied Mathematics Jurnal Kajian Matematika dan Aplikasinya
Nur Inayah
Program Studi Matematika Fakultas Sains Dan Teknologi UIN Syarif Hidayatullah Jakarta
Computer Science & IT Electrical & Electronics Engineering Mathematics

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 1 
PELABELAN TOTAL (a,d)-C_3-ANTIAJAIB SUPER PADA GRAF ULAR S_n Lasmanian Rezekina; Nur Inayah; Yanne Irene
LOGIK@ Vol 6, No 1 (2016)
Publisher : Universitas Islam Negeri Syarif Hidayatullah Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (630.185 KB)

Abstract

Another Antimagic Decomposition of Generalized Peterzen Graph Nur Inayah; M. Irvan Septiar Musti; Soffi Nur Masyithoh
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 3, No 2 (2021)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v3i2.19954

Abstract

AbstractA decomposition of a graph P into a family Q consisting of isomorphic copies of a graph Q is (a,b)-Q-antimagic if there is a bijection φ:V(P)∪E(P)→{1,2,3,4…,v_P+e_P} such that for all subgraphs Q’ isomorphic to Q,   the Q-weightsφ(Q’ )=∑_(v∈V(Q^' ))▒φ(v) + ∑_(e∈E(Q^'))▒〖φ(e)〗constitute an arithmetic progression a,a + b,a + 2b,…,a + (r - 1)b where a and b are positive integers and r is the number of subgraphs of P isomorphic to Q. In this article, we prove the existence of a (a,b)-P_4-antimagic  decomposition of a generalized Peterzen graph GPz(n,3) for several values of b.Keywords: covering; decomposition; antimagic; generalized Peterzen. AbstrakSuatu dekomposisi dari suatu graf P ke dalam suatu famili Q yang terdiri dari salinan isomorfik dari graf Q dikatakan (a,b)-Q-antiajaib jika terdapat pemetaaan bijektif φ:V(P)∪E(P)→{1,2,3,4…,v_P+e_P} sedemikian sehingga semua subgraf Q’ yang isomorfik ke Q, dengan bobot-Q sebagai berikutφ(Q’ )=∑_(v∈V(Q^' ))▒φ(v) + ∑_(e∈E(Q^'))▒〖φ(e)〗yang membentuk suatu barisan aritmatika yaitu a,a + b,a + 2b,…,a + (r - 1)b dengan a dan b adalah bilangan bulat positif dan r adalah banyaknya subgraf dari P yang isomorfik ke Q. Pada artikel ini, kami membuktikan eksistensi (a,b)-P_4-antiajaib dekomposisi dari graf generalized Peterzen GPz(n,3) untuk beberapa nilai b.Kata kunci: selimut; dekomposisi; antiajaib; generalized Peterzen.
PELABELAN GRACEFUL PADA GRAF LINTASAN Pn Ramdhan Fazrianto Suwarman; Nur Inayah; Yanne Irene
Jurnal Kajian Matematika dan Aplikasinya (JKMA) Vol 3, No 2 (2022): July
Publisher : UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um055v3i22022p21-25

Abstract

A simple graph G=(V, E) with n vertices and m edges is called graceful, if that graph G can be labeled with a bijection f:V(G) {1, 2, .., n} and g:E(G) {1, 2, .., m}, with condition label on any edge equals the difference between the labels of the two endpoints. This study examined graceful labeling on path graph Pn for n>=3.
Mathematics Model of COVID-19 with Two-Stage Vaccination, Symptomatic, Asymptomatic, and Quarantine Individuals Nur Inayah; Muhammad Manaqib; Muhammad Febry Fadillah
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 3 (2022): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i3.15188

Abstract

This research developed a model of COVID-19 based on the SEIR model which was further developed by dividing the infected subpopulation into symptomatic and asymptomatic, adding quarantine of infected individuals and vaccination in two steps. Making this model begins with making a compartment diagram of the disease and then forming a system of differential equations. After the model is formed, the disease-free equilibrium point, endemic equilibrium point, and basic reproduction number (R0) are obtained. Analysis of the stability of the disease-free equilibrium point was locally asymptotically stable if R01 and an endemic equilibrium point existed if R01. Numerical simulation for the model that has been made is in line with the analysis. Furthermore, the sensitivity analysis obtained that the parameters that have a significant effect on the spread of COVID-19 are the rate of the first dose vaccination, the rate of contact with symptomatic or asymptomatic individuals, and the rate of quarantine of symptomatic infected individuals.
On D-distance (anti)magic labelings of shadow graph of some graphs Ngurah, Anak Agung Gede; Inayah, Nur; Musti, Mohamad Irvan Septiar
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 12, No 1 (2024): 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.2024.12.1.3

Abstract

Let G be a graph with vertex set V(G) and diameter diam(G). Let D ⊆ {0, 1, 2, 3, …, diam(G)} and φ : V(G)→{1, 2, 3, …, |V(G)|} be a bijection. The graph G is called D-distance magic, if  s ∈ ND(t)φ(s) is a constant for any vertex t ∈ V(G). The graph G is called (α, β)-D-distance antimagic, if { s ∈ ND(t)φ(s):t ∈ V(G)} is a set {α, α + β, α + 2β, …, α + (|V(G)| − 1)β}. In this paper, we study D-distance (anti)magic labelings of shadow graphs for D = {1}, {0, 1}, {2}, and {0, 2}.
Co-Authors Irene, Yanne Lasmanian Rezekina M. Irvan Septiar Musti Muhammad Febry Fadillah Muhammad Manaqib, Muhammad Musti, Mohamad Irvan Septiar Ngurah, Anak Agung Gede Ramdhan Fazrianto Suwarman Soffi Nur Masyithoh