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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi BAREKENG: Jurnal Ilmu Matematika dan Terapan Indonesian Journal of Combinatorics Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam JPMA JMT (Jurnal Matematika dan Terapan)

Ikhsanul Halikin, Ikhsanul

Graph, Combinatorics, And Algebra Research Group, Department Of Mathematics, FMIPA, Universitas Jember, Jl. Kalimantan 37 Jember 68121, Indonesia

Author-ID : 3670780

Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Physics Transportation

Published : 6 Documents Claim Missing Document

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Articles

Modified Chebyshev Collocation Method for Solving Differential Equations Arif, M Ziaul; Kamsyakawuni, Ahmad; Halikin, Ikhsanul
CAUCHY Vol 3, No 4 (2015): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

This paper presents derivation of alternative numerical scheme for solving differential equations, which is modified Chebyshev (Vieta-Lucas Polynomial) collocation differentiation matrices. The Scheme of modified Chebyshev (Vieta-Lucas Polynomial) collocation method is applied to both Ordinary Differential Equations (ODEs) and Partial Differential Equations (PDEs) cases. Finally, the performance of the proposed method is compared with finite difference method and the exact solution of the example. It is shown that modified Chebyshev collocation method more effective and accurate than FDM for some example given.

Odd Harmonious Labeling of Pn ⊵ C4 and Pn ⊵ D2(C4) Sabrina Shena Sarasvati; Ikhsanul Halikin; Kristiana Wijaya
Indonesian Journal of Combinatorics Vol 5, No 2 (2021)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2021.5.2.5

A graph G with q edges is said to be odd harmonious if there exists an injection f:V(G) → ℤ2q so that the induced function f*:E(G)→ {1,3,...,2q-1} defined by f*(uv)=f(u)+f(v) is a bijection.Here we show that graphs constructed by edge comb product of path Pn and cycle on four vertices C4 or shadow of cycle of order four D2(C4) are odd harmonious.

Pelabelan Lokal Titik Graf Hasil Diagram Lattice Subgrup Zn Ikhsanul Halikin
Al-Khwarizmi : Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam Vol 6, No 1 (2018): Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam
Publisher : Prodi Pendidikan Matematika FTIK IAIN Palopo

AbstractA group is a system that contains a set and a binary operation satisfying four axioms, i.e., the set is closed under binary operation, associative, has an identity element, and each element has an inverse. Since the group is essentially a set and the set itself has subsets, so if the binary operation is applied to its subsets then it satisfies the group's four axioms, the subsets with the binary operation are called subgroups. The group and subgroups further form a partial ordering relation. Partial ordering relation is a relation that has reflexive, antisymmetric, and transitive properties. Since the connection of subgroups of a group is partial ordering relation, it can be drawn a lattice diagram. The set of integers modulo n, , is a group under addition modulo n. If the subgroups of are represented as vertex and relations that is connecting two subgroups are represented as edgean , then a graph is obtained. Furthermore, the vertex in this graph can be labeled by their subgroup elements. In this research, we get the result about the characteristic of the lattice diagram of and the existence of vertex local labeling.AbstrakGrup merupakan sistem yang memuat sebuah himpunan dan operasi biner yang memenuhi 4 aksioma, yaitu operasi pada himpunannya bersifat tertutup, assosiatif, memiliki elemen identitas, dan setiap elemennya memiliki invers. Grup pada dasarnya adalah himpunan dan himpunan itu memiliki himpunan bagian. Jika operasi tersebut diberlakukan pada himpunan bagiannya dan memenuhi 4 aksioma grup maka himpunan bagian dan operasi tersebut disebut subgrup. Grup dan subgrup ini selanjutnya membentuk suatu relasi pengurutan parsial. Relasi pengurutan parsial adalah suatu relasi yang memiliki sifat refleksif, antisimetris, dan transitif. Oleh karenanya, relasi subgrup-subgrup dari suatu grup ini dapat digambar diagram latticenya. Himpunan bilangan bulat modulo n, , merupakan grup terhadap operasi penjumlahan modulo n. Jika subgrup pada direpresentasikan sebagai titik dan relasi yang menghubungkan dua buah subgrupnya direpresentasikan sebagai sisi, maka diperoleh suatu graf. Titik-titik pada graf ini dapat dilabeli berdasarkan elemen-elemen subgrupnya. Pada penelitian ini diperoleh hasil kajian mengenai karakteristik diagram lattice subgrup dan eksistensi pelabelan lokal titiknya.

PENINGKATAN KOMPETENSI GURU MGMP MATEMATIKA SMP WILAYAH KABUPATEN JEMBER TIMUR DALAM PEMANFAATAN PEMBELAJARAN BERBASIS WEB INTERAKTIF PADA POKOK BAHASAN HIMPUNAN, RELASI, DAN FUNGSI Ikhsanul Halikin; I Made Tirta; Kusbudiono Kusbudiono
Jurnal Pengabdian Masyarakat Applied Vol 1 No 2 (2022): JPMA Volume 1 Number 2 Year 2022
Publisher : Fakultas Ekonomi dan Bisnis

Munculnya COVID 19 yang berkepenjangan menyebabkan pembelajaran di semua tingkat, termasuk pembelajaran di SMA, dilakukan secara daring. Dalam pembelajaran secara daring sangat dirasakan perlunya media pembelajaran yang memungkinkan siswa belajar secara aktif. Salah satu yang termasuk media pembelajaran jenis ini adalah media pembelajaran online yang bersifat dinamik dan interaktif. Jurusan Matematika FMIPA Universitas Jember telah mengembangkan media pembelajaran melalui web interaktif (https://statslab-rshiny.fmipa.unej.ac.id/RDoc/Himpunan/) yang dapat diakses oleh siswa kapan pun dan dimana pun, sebagai salah satu upaya untuk membuat pembelajaran daring lebih optimal. Dalam pengabdian ini dilakukan kegiatan pemaparan dan pelatihan kepada guru MGMP Matematika SMP Wilayah Kabupaten Jember Timur mengenai penerapan web dalam proses pembelajaran yang interaktif terutama untuk pokok bahasan himpunan, relasi, dan fungsi. Kegiatan tersebut dilakukan dua tahap, yaitu kegiatan secara offline di SMP Negeri 1 Mumbulsari dilanjutkan dengan komunikasi secara online selama latihan memanfaatkan web. Hasil pengamatan selama berlangsungnya proses kegiatan dan umpan balik terhadap kegiatan ini menunjukkan adanya antusiasme dan respon yang sangat baik dari para guru.

THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING Ahmad Lasim; Ikhsanul Halikin; Kristiana Wijaya
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Suppose is a simple and connected graph with edges. A harmonious labeling on a graph is an injective function so that there exists a bijective function where for each An odd harmonious labeling on a graph is an injective function from to non-negative integer set less than so that there is a function where for every An even harmonious labeling on a graph is an injective function so that there is a bijective function where for each . In this paper, we discuss how to build new labeling (harmonious, odd harmonious, even harmonious) based on the existing labeling (harmonious, odd harmonious, even harmonious)

Implementasi Pencarian Rute Terpendek Tour Wisata di Banyuwangi pada Agen Travel Menggunakan Algoritma Floyd Warshall Kusbudiono; Vira Ulyatul Maghfiroh; Ikhsanul Halikin; Kristiana Wijaya
JMT : Jurnal Matematika dan Terapan Vol 5 No 2 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.5.2.1

Tourism is travel aim to visit tourist attractions. Holidays to tourist attractions can eliminate boredom, improve the brain's work system, and foster a feeling of happiness. Holidays to tourist attractions can be assisted by travel agents. This research was carried out by looking for the shortest route from tour packages the travel agent in Banyuwangi. Search for the shortest route is aim to save time on travel package rundown tour, the distance traveled, and the fuel used. Search for the shortest route can be calculated using Floyd Warshall Algorithm. This algorithm was chosen because it can evaluate each pair vertex at each iteration to find the shortest distance. Search for the shortest distance is checking each pair vertex and choosing the smallest distance between the actual distance and the initial distance plus the final distance. The results of this research are found in the last iteration of each tour package. The total distance of the tour package is calculated using the Floyd Warshall Algorithm to get smaller distance than the total distance of the tour package with the route taken normally. Tour package distance using Floyd Warshall Algorithm experienced distance savings seen from the difference between the two.

Co-Authors Ahmad Kamsyakawuni Ahmad Lasim I Made Tirta Kristiana Wijaya Kristiana Wijaya Kusbudiono Kusbudiono Kusbudiono, Kusbudiono M Ziaul Arif, M Ziaul Sabrina Shena Sarasvati Vira Ulyatul Maghfiroh

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