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CAUCHY: Jurnal Matematika Murni dan Aplikasi
Published by Universitas Islam Negeri Maulana Malik Ibrahim Malang
ISSN : 20860382     EISSN : 24773344     DOI : 10.18860
Core Subject : Education,
Mathematics
Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh Mitra Bestari (reviewer) untuk dinilai substansi kelayakan naskah. Redaksi berhak mengedit naskah sejauh tidak mengubah substansi inti, hal ini dimaksudkan untuk keseragaman format dan gaya penulisan.
Arjuna Subject : -
Articles 8 Documents
 1 
Search results for , issue "Vol 4, No 4 (2017): CAUCHY" : 8 Documents clear
Fixed Point Theorems in Complex Valued B-Metric Spaces Hasanah, Dahliatul
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (710.807 KB) | DOI: 10.18860/ca.v4i4.3669

Abstract

A complex-valued b-metric space is a generalization of a b-metric space in which its b-metric space has complex value. It can also be considered as a generalization of a complex-valued metric space. Hence, fixed point theorems that have been studied in b-metric spaces are now of interest whether the theorems are applicable in complex-valued b-metric spaces. In this paper we have obtained some fixed point theorems in complex-valued b-metric spaces. The theorems are derived from the corresponding theorems in b-metric spaces.
Application of modified Spatial K’luster Analysis by Tree Edge Removal Method (SKATER) on the level of Crime data in Way Kanan district, Lampung Rinaldi, I Kadek Yama
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (795.821 KB) | DOI: 10.18860/ca.v4i4.3979

Abstract

Modification of method Spatial K'luster Analysis by Tree Edge Removal (SKATER) is one of the regionalization method for clustering based on the location by spatial autocorrelation and spatial patterns. This method uses graph theory approach to identify the homogeneous location is the minimum spanning tree. In addition to clustering objects based on similarity characteristics, in everyday life, often found that there are significant spatial clustering that affect specific object. This study was conducted to determine the relationship of the crime rate between districts in Way Kanan, Lampung. Based on these results, the characteristics of the crime rate in terms of spoliation, robbery and gambling have spatial autocorrelation and spatial patterns. Further applied modifications of SKATER. Generate 4 cluster (k) graded of the 14 districts. on average k1 (17.67% )  k2 (10.09%)   k3 (7.80%)  k4 (4.28%).
Front - Matter Matter, Front -
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (541.17 KB) | DOI: 10.18860/ca.v4i4.4237

Abstract

Odd Harmonious Labeling on Pleated of the Dutch Windmill Graphs Firmansah, Fery; Yuwono, Muhammad Ridlo
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (637.419 KB) | DOI: 10.18860/ca.v4i4.4043

Abstract

A graph G(p,q) with p=|V(G)| vertices and q=|E(G)| edges. The graph G(p,q) is said to be odd harmonious if there exist an injection f: V(G)-{0,1,2,...,2q-1} such that the induced function f*: E(G)-{1,2,3,...,2q-1} defined by  f*(uv)=f(u)+f(v) which is a bijection and f is said to be odd harmonious labeling of G(p,q). In this paper we prove that pleated of the Dutch windmill graphs C_4^(k)(r) with k=1 and r=1 are odd harmonious graph. Moreover, we also give odd harmonious labeling construction for the union pleated of the Dutch windmill graph   C_4^(k)(r) union C_4^(k)(r) with k=1 and r=1.
Almost Surjective Epsilon-Isometry in The Reflexive Banach Spaces Rohman, Minanur
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (647.045 KB) | DOI: 10.18860/ca.v4i4.4100

Abstract

In this paper, we will discuss some applications of almost surjective epsilon-isometry mapping, one of them is in Lorentz space ( L_(p,q)-space). Furthermore, using some classical theorems of w star-topology and concept of closed subspace -complemented, for every almost surjective epsilon-isometry mapping  f : X to Y, where Y is a reflexive Banach space, then there exists a bounded linear operator   T : Y to X  with  such that  for every x in X.
Back - Matter Matter, Back -
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (417.072 KB) | DOI: 10.18860/ca.v4i4.4239

Abstract

On the Spectra of Commuting and Non Commuting Graph on Dihedral Group Abdussakir, Abdussakir; Elvierayani, Rivatul Ridho; Nafisah, Muflihatun
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (816.995 KB) | DOI: 10.18860/ca.v4i4.4211

Abstract

Study about spectra of graph has became interesting work as well as study about commuting and non commuting graph of a group or a ring. But the study about spectra of commuting and non commuting graph of dihedral group has not been done yet. In this paper, we investigate adjacency spectrum, Laplacian spectrum, signless Laplacian spectrum, and detour spectrum of commuting and non commuting graph of dihedral group D2n
A Super (A,D)-Bm-Antimagic Total Covering of Ageneralized Amalgamation of Fan Graphs Agustin, Ika Hesti; Dafik, Dafik; Latifah, Siti; Prihandini, Rafiantika Megahnia
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (630.746 KB) | DOI: 10.18860/ca.v4i4.3758

Abstract

All graph in this paper are finite, simple and undirected. Let G, H be two graphs. A graph G is said to be an (a,d)-H-antimagic total graph if there exist a bijective function  such that for all subgraphs H’ isomorphic to H, the total H-weights form an arithmetic progression  where a, d 0 are integers and m is the number of all subgraphs H’ isomorphic to H. An (a, d)-H-antimagic total labeling f is called super if the smallest labels appear in the vertices. In this paper, we will study a super (a, d)-Bm-antimagicness of a connected and disconnected generalized amalgamation of fan graphs on which a path is a terminal.

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