Siti Amiroch
Universitas Islam Darul ‘Ulum

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A Study on Parthenogenesis of Petersen Graph Siti Amiroch; Danang Kiratama
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 3 No. 1 (2017)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Genetics is the science of trait from the parent to the descendant. In biology, genetics pass a series of genes unification process that takes place in the chromosome. The results of genes unification will form the nature and character of the generation. This particular genetic process also applies in graph theory. Genetics on graph theory is divided into two: breeding and parthenogenesis. This present study elaborated a single type of genetic processes that was parthenogenesis which is applied on a Petersen graph. Through the similar process to genetics in biology, Petersen graph will be reconstructed and combined with other graphs (gene) in purposes to create a descendant or a new graph with new nature and characteristic. Based on the result of parthenogenesis on this Petersen graph, there was derived a graph which has 18 edges and 12 vertices, isomorphism toward another Petersen graph, Hamiltonian, and has 3 girth and symmetric.
PREDIKSI HASIL PANEN PADI DI KABUPATEN LAMONGAN MENGGUNAKAN METODE ADAMS-BASHFORTH-MOULTON DENGAN MODEL VERHULST Aisyah Tur Rif’atin Nurdini; Siti Amiroch; Mohammad Syaiful Pradana
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 2 (2025)
Publisher : Universitas Negeri Surabaya

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Kabupaten Lamongan merupakan salah satu daerah penghasil padi terbesar di Jawa Timur, yang berperan penting dalam menjaga ketersediaan pangan nasional. Untuk mendukung strategi ketahanan pangan daerah, penelitian ini bertujuan memprediksi hasil panen padi tahun 2024–2033 menggunakan model pertumbuhan Verhulst dengan metode numerik Adams–Bashforth–Moulton (ABM). Data historis panen tahun 2014–2023 digunakan sebagai input, dengan estimasi laju pertumbuhan rata-rata sebesar 0,0078. Model numerik diselesaikan menggunakan metode Runge-Kutta untuk nilai awal, kemudian dilanjutkan dengan ABM. Hasil prediksi menunjukkan tren peningkatan panen sebesar ±2.000 ton per tahun, dengan total panen tahun 2033 mencapai 1.055.760 ton. Nilai galat relatif sebesar 0,0000004238 menunjukkan tingkat akurasi model sangat tinggi. Temuan ini dapat dijadikan dasar penyusunan kebijakan distribusi dan cadangan pangan berbasis tren matematis.