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All Journal Majalah Ilmiah Matematika Komputer Journal of the Indonesian Mathematical Society Makara Journal of Science
Djati Kerami
Jurusan Sistem Informasi, Fakultas Ilmu Komputer dan Teknologi Informasi, Universitas Gunadarma Jl. Margonda Raya 100, Pondok Cina, Depok 16424.
Computer Science & IT Mathematics

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EXTENDED LUCAS TUBE: GRAF HAMILTONIAN BARU ., Ernastuti; Kerami, Djati; Widjaya, Belawati H
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.59.25-35

Abstract

A Hamiltonian cycle in a connected graph G is defined as a closed walk that traverses every vertex of G exactly once, except the starting vertex at which the walk also terminates. If an edge from a Hamiltonian cycle is removed, it forms a path calleda Hamiltonian path. A graph G is called Hamiltonian if there is a Hamiltonian cyclein G. It is known that every hypercube graph is Hamiltonian. But when one or more vertices are removed from a hypercube graph, will it still be Hamiltonian? Some induced subgraphs of a hypercube graph such as the Fibonacci cube (FC), the extended Fibonaccicube (EFC), and the Lucas cube (LC) have been introduced and their Hamiltonicities have been investigated. Research results showed that less than a third of FC graphs are Hamiltonian although all of them have Hamiltonian path. All EFC graphs are Hamiltonian and none of LC graphs is Hamiltonian although some still have Hamiltonian paths.This paper introduces another subgraph of a hypercube graph called the Extended Lucas Cube (ELC). The ELC is shown to be Hamiltonian by using the approach of k-Gray Code and Bipartition Property.DOI : http://dx.doi.org/10.22342/jims.14.1.59.25-35
STUDI PENGARUH TERJADINYA KEJADIAN KUHUSUS TERHADAP KECENDERUNGAN NAIK/TURUNNYA KURS DOLAR AMERIKA TERHADAP RUPIAH DAN INDEKS HARGA SAHAM GABUNGAN DENGAN BANTUAN JARINGAN SYARAF TIRUAN RAMBATAN BALIK Kerami, Djati; Setiyani, Yeni
Majalah Ilmiah Matematika Komputer 2005: MAJALAH MATEMATIKA KOMPUTER EDISI APRIL
Publisher : Majalah Ilmiah Matematika Komputer

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1169.084 KB)

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Dibahas penggunaan jaringan syaraf tiruan rambatan balik untu mempredlksi kurva flukluatif nilai tukar USD terhadap Rp dan kurva fluktuatif IHSG pada waktu observasi yang mengandung beberapa kejadian khusus (non fundamental) yang dipertimbangkan. Dengan bantuan kurva tersebut dan teknik interpolasi tertentu, diprediksi pula kurva-kurva fluktuatif di sekitar waktu terjadinya setiap kejadian khusus tersebut. Dengan melakukan analisis fluktuatif terhadap kurva-kurva tersebut, dilakukan pemeriksaan kualitatif pengaruh terjadinya kejadian khusus dan naik/turunnya kurs USD terhadap Rp dan naik/turunnya IHSG Kata kunci : jaringan syaraf tiruan rambatan balik, kejadian khusus, kurva fluktuatif
KAJIAN KEMAMPUAN GENERALISASI SUPPORT VECTOR MACHINE DALAM PENGENALAN JENIS SPLICE SITES PADA BARISAN DNA Kerami, Djati; Murfi, Hendri
Makara Journal of Science Vol. 8, No. 3
Publisher : UI Scholars Hub

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Study on Generalization Capability of Support Vector Machine in Splice Site Type Recognition of DNA Sequence. Recently, support vector machine has become a popular model as machine learning. A particular advantage of SVM over other machine learning is that it can be analyzed theoretically and at same time can achieve a good performance when applied to real problems. This paper will describe analytically the using of SVM to solve pattern recognition problem with a preliminary case study in determining the type of splice site on the DNA sequence, particularity on the generalization capability. The result obtained show that SVM has a good generalization capability of around 95.4 %.
Co-Authors Belawati H Widjaya Ernastuti Ernastuti Hendri Murfi Yeni Setiyani