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All Journal Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Triyani Triyani
Department of Mathematics, Jenderal Soedirman University
Mathematics

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SPEKTRUM PADA GRAF REGULER KUAT Rizki Mulyani; Triyani Triyani; Niken Larasati
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 5 No 1 (2013): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2013.5.1.2912

Abstract

This article studied spectrum of strongly regular graph. This spectrum can be determined by the number of walk with lenght l on connected simple graph, equation of square adjacency matrix and eigen value of strongly regular graph.
KONSEP DASAR HIPERGRAF DAN SIFAT-SIFATNYA Faiq Fauziya Putri; Triyani Triyani; Ari Wardayani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 12 No 2 (2020): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.2.3619

Abstract

This article discusses fundamental properties of hypergraphs. Hypergraphs are generalization of graph which hyperedges, edges in hypergraph, can join more than two vertices. The fundamental properties in this article are the vertices degrees, connection in hypergraphs, and dual hypergraph. connectivity in hypergraphs in this article are walks, trails, strict trails, path, and cycles. In the end of this article, we present a few examples of problems that can be represented by hypergraph.
BEBERAPA SIFAT HIMPUNAN KRITIS PADA PELABELAN AJAIB GRAF BANANA TREE Triyani Triyani; Irham Taufiq
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 2 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.2.2963

Abstract

A critical set in edge magic total labeling on graph G is a subset label such that it can forms the edge magic total labeling uniquely. This paper investigate critical set on Banana Tree graph. The result shows some properties of critical set on Banana Tree graph, such as the size of it at least , where n is number of leaf and k is number of star, except the size of critical set on graph BT(1,1) is 2. Beside it, if x is the label of any leaf and y is the label of the edge adjacent to it then each critical set in λ must contain either x or y, not both.
APLIKASI TRAVELLING SALESMAN PROBLEM PADA PENGEDROPAN BARANG DI ANJUNGAN MENGGUNAKAN METODE INSERTION Priska Sari Dewi; Triyani Triyani; Siti Rahmah Nurshiami
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 12 No 2 (2020): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.2.3617

Abstract

Travelling Salesman Problem (TSP) is a problem to find the shortest path a salesman visitS all the cities exactly once, and return to the starting city. In this reseacrh, the methods for TSP used are the nearest insertion method, the cheapest insertion method, and the farthest insertion method. With help the function of Software R to creat a minimum TSP Program from three insertion methods.The TSP results for same number of point using three insertion methods do not always have the same weight and route but depending on the data used.
SEMIGRUP REGULER DAN SIFAT-SIFATNYA Najmah Istikaanah; Ari Wardayani; Renny Renny; Ambar Sari Nurahmadhani; Agustini Tripena Br. Sb.; Triyani Triyani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 13 No 2 (2021): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2021.13.2.4968

Abstract

This article discusses some properties of regular semigroups. These properties are especially concerned with the relation of the regular semigroups to ideals, subsemigroups, groups, idempoten semigroups and invers semigroups. In addition, this paper also discusses the Cartesian product of two regular semigroups. Keywords:ideal, idempoten semigroup, inverse semigroup, regular semigroup, subsemigroup.
SOLVING THE INVERSE KINEMATICAL PROBLEM OF A ROBOT ARM BY USING GROEBNER BASIS Alisya Masturoh; Bambang Hendriya Guswanto; Triyani Triyani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 13 No 1 (2021): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2021.13.1.4428

Abstract

The inverse kinematical problem of a robot arm is a problem to find some appropriate joint configurations for a pair of position and direction of a robot hand which is represented by a polynomial equations system. The system is solved by employing Groebner basis notion. Thus, the appropriate joint configurations for a pair of position and direction of the robot hand are obtained.
PELABELAN TOTAL SISI TAK BERATURAN PADA GRAF GABUNGAN BIPARTIT LENGKAP Triyani Triyani; Niken Larasati
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 1 No 2 (2009): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2009.1.2.2982

Abstract

SPEKTRUM PADA GRAF REGULER KUAT Rizki Mulyani; Triyani Triyani; Niken Larasati
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 5 No 1 (2013): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2013.5.1.2912

Abstract

This article studied spectrum of strongly regular graph. This spectrum can be determined by the number of walk with lenght l on connected simple graph, equation of square adjacency matrix and eigen value of strongly regular graph.
BEBERAPA SIFAT HIMPUNAN KRITIS PADA PELABELAN AJAIB GRAF BANANA TREE Triyani Triyani; Irham Taufiq
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 2 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.2.2963

Abstract

A critical set in edge magic total labeling on graph G is a subset label such that it can forms the edge magic total labeling uniquely. This paper investigate critical set on Banana Tree graph. The result shows some properties of critical set on Banana Tree graph, such as the size of it at least , where n is number of leaf and k is number of star, except the size of critical set on graph BT(1,1) is 2. Beside it, if x is the label of any leaf and y is the label of the edge adjacent to it then each critical set in λ must contain either x or y, not both.
PELABELAN TOTAL SISI TAK BERATURAN PADA GRAF GABUNGAN BIPARTIT LENGKAP Triyani Triyani; Niken Larasati
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 1 No 2 (2009): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2009.1.2.2982

Abstract

Co-Authors Agustini Tripena Br. Sb. Alisya Masturoh Ambar Sari Nurahmadhani Ari Wardayani Faiq Fauziya Putri Guswanto, Bambang Hendriya Irham Taufiq Najmah Istikaanah Niken Larasati Priska Sari Dewi Renny Renny Rizki Mulyani Siti Rahmah Nurshiami, Siti Rahmah