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All Journal Jurnal Matematika IPTEK The Journal for Technology and Science International Journal of Science and Applied Science: Conference Series Journal of Mathematics and Mathematics Education (JMME)
Tri Atmojo Kusmayadi
Unknown Affiliation
Chemistry Computer Science & IT Education Mathematics Physics

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Dimensi Metrik Pada Graf Starbarbell dan Hasil Operasi Edge Corona Pada Graf Cycle dan Graf Path Putri Dea Sari; Tri Atmojo Kusmayadi
Jurnal Matematika Vol 10 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i01.p121

Abstract

Eccentric Digraph of Cocktail Party Graph and Hypercube Tri Atmojo Kusmayadi; Nugroho Arif Sudibyo
IPTEK The Journal for Technology and Science Vol 22, No 4 (2011)
Publisher : IPTEK, LPPM, Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j20882033.v22i4.74

Abstract

Let G be a graph with a set of vertices V(G) and a set of edges E(G). The distance from vertex u to vertex v in G, denoted by d(u, v), is the length of the shortest path from vertex u to v. The eccentricity of vertex u in graph G is the maximum distance from vertex u to any other vertices in G, denoted by e(u). Vertex v is an eccentric vertex from u if d(u, v) = e(u). The eccentric digraph ED(G) of a graph G is a graph that has the same set of vertices as G, and there is an arc (directed edge) joining vertex u to v if v is an eccentric vertex from u. In this paper, we determine the eccentric digraph of a class of graph called the cocktail party graph and hypercube.
Descriptive study of the kinds of questions asked by novice teacher on mathematics learning process Labiba Zahra; Tri Atmojo Kusmayadi; Budi Usodo
International Journal of Science and Applied Science: Conference Series Vol 2, No 1 (2018): International Journal of Science and Applied Science: Conference Series
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1058.167 KB) | DOI: 10.20961/ijsascs.v2i1.16712

Abstract

This study described the kinds of a question asked by novice teacher on mathematics learning process of senior high school. The data were collected by passive participation observation and a semi-structured interview. The validity of data was obtained through the triangulation of method, triangulation of time and member check. The data analysis technique used in this study is descriptive analysis. The result of this study showed that at the preliminary activity, the question asked by the novice teacher based on objective only compliance question. At the main activity, the novice teacher asked compliance question, prompting question, probing question and sometimes rhetorical question. The kind of questions based on the cognitive dimension of Revised Bloom’s Taxonomy that was asked by novice teacher only remembering question. At the main activity, the novice teacher asked the question of remember, understand, apply, analyse and evaluate. At the closing activity, the teacher does not ask the question based on objective and Revised Bloom’s Taxonomy. 
DIMENSI METRIK LOKAL PADA GRAF ANTIPRISMA DAN GRAF SUN Silfiatul Khoiriah; Tri Atmojo Kusmayadi
Journal of Mathematics and Mathematics Education Vol 8, No 1 (2018): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v8i1.25816

Abstract

Abstract: For example G is a connected and nontrivial graph. The distance between two vertices u and v in G is the shortest path length between vertex u and v which is denoted by d (u, v). For an ordered set of of n vertex and v is a vertex in G, then the representation of vertex v to W is an ordered pair Set W is called as local distinguishing if for each pair of vertex u and v is adjacent to G. Local distinguishing set W with minimum cardinality is called as local metric base and the number of vertex on the local metric base of graph G is called as local metric dimension which is denoted by . In this study, the local metric dimension is determined on antiprism An graph and sun Sn graph. The results reveal that local metric dimension of antiprism graph is  for . Local metric dimension of sun graph is  for even n and  for odd n.Keywords: local metric dimension, antiprism graph, sun graph, local distinguishing set.
Co-Authors Budi Usodo Labiba Zahra Nugroho Arif Sudibyo Putri Dea Sari Silfiatul Khoiriah