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On the study of Rainbow Antimagic Coloring of Special Graphs Dafik, Dafik; Wahidah, Riniatul Nur; Albirri, Ermita Rizki; Husain, Sharifah Kartini Said
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 4 (2023): 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.v7i4.17836

Abstract

Let  be a connected graph with vertex set  and edge set . The bijective function  is said to be a labeling of graph where  is the associated weight for edge . If every edge has different weight, the function  is called an edge antimagic vertex labeling. A path  in the vertex-labeled graph , with every two edges  satisfies  is said to be a rainbow path. The function  is called a rainbow antimagic labeling of , if for every two vertices , there exists a rainbow  path. Graph  admits the rainbow antimagic coloring, if we assign each edge  with the color of the edge weight  . The smallest number of colors induced from all edge weights of edge antimagic vertex labeling is called a rainbow antimagic connection number of , denoted by . In this paper, we study rainbow antimagic connection numbers of octopus graph , sandat graph , sun flower graph , volcano graph  and semi jahangir graph Jn.
Partisipasi Mahasiswa dalam Pembelajaran Kooperatif Berdasarkan Lesson Study Safrida, Lela Nur; Ambarwati, Reza; Albirri, Ermita Rizki
Jurnal Edukasi Vol. 4 No. 3: Nopember 2017 : Jurnal Edukasi
Publisher : Universitas Jember, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/jukasi.v4i3.6304

Abstract

Partisipasi siswa memiliki peran penting dalam keberhasilan belajar. Partisipasi aktif siswa bisa mencapai tujuan belajar sehingga siswa bisa berprestasi akademik lebih baik. Partisipasi aktif dapat dipraktekkan dalam pembelajaran kooperatif dengan berdiskusi dalam kelompok atau kelas. Pembelajaran yang efektif dengan menggunakan pembelajaran kooperatif harus dirancang sebelum proses pembelajaran. Menurut analisis dan hasil refleksif, sebagian besar siswa di kelas telah mengikuti kegiatan belajar. Partisipasi aktif dikaitkan dengan berbicara atau memberikan pendapat, menjawab dan mengajukan pertanyaan untuk memberi ceramah atau memberikan komentar dalam diskusi di kelas. Di sisi lain, ada beberapa siswa yang pasif berpartisipasi dalam kegiatan belajar. Siswa tidak memberikan respon perilaku selama kelas. Siswa hanya perlu mendengarkan tanpa mencatat apapun. Kata Kunci : Partisipasi, pembelajaran kooperatif, lesson study
SUPER (a,d)-EDGE ANTIMAGIC TOTAL LABELING OF PENTAGONAL CHAIN GRAPH Albirri, Ermita Rizki; Dafik, D; Slamin, S
Kadikma Vol 6 No 1 (2015): April 2015
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v6i1.1824

Abstract

Abstract. A G graph of order p and size q is called an (a,d)-edge antimagic total if there exist a bijection f: V(G)E(G) {1,2,…,p+q} such that the edge-weights, w(uv)=f(u)+f(v)+f(uv), uv E(G), form an arithmetic sequence with first term a and common difference d. Such a graph G is called super if the smallest possible labels appear on the vertices. In this paper we study super (a, d)-edge-antimagic total properties of connected PCn by using deductive axiomatic and the pattern recognition method. The result shows that a connected pentagonal chain graphs admit a super (a,d)-edge antimagic total  labeling for d = 0,1,2 for n It can be concluded that the result of this research has covered all the feasible d. Key Words: (a,d)-edge antimagic vertex labeling, super (a,d)-edge antimagic total labeling, Pentagonal Chain Graph.
PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2 Setyawan, Deddy; Afni, Anis Nur; Prihandini, Rafiantika Megahnia; Albirri, Ermita Rizki; Kristiana, Arika Indah
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 4 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (544.936 KB) | DOI: 10.30598/barekengvol15iss4pp651-658

Abstract

The local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all edges that incident to the vertex. If the labeling start the smallest label from the vertex then the edge so that kind of coloring is called the local super antimagic total vertex labeling. That local super antimagic total vertex labeling induces vertex coloring of graph G where for vertex v, the weight w(v) is the color of v. The minimum number of colors that obtained by coloring that induces by local super antimagic total vertex labeling of G called the chromatic number of local super antimagic total vertex coloring of G, denoted by χlsat(G). In this paper, we consider the chromatic number of local super antimagic total vertex coloring of Generalized Petersen Graph P(n,k) for k=1, 2.