Browsing by Author "Dafik, Dafik"
Now showing items 1-20 of 34
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The Antimagicness of Super (a, d) - P2⊵̇H Total Covering on Total Comb Graphs
Prihandini, Rafiantika Megahnia; Dafik, Dafik; Slamin, Slamin; Agustin, Ika Hesti (2018-10-29)A graph can be constructed in several ways. One of them is by operating two or more graphs. The resulting graphs will be a new graph which has certain characteristics. One of the latest graph operations is total comb of ... -
Bound of Distance Domination Number of Graph and Edge Comb Product Graph
Gembong A.W; Slamin, Slamin; Dafik, Dafik; Agustin, Ika Hesti (2017-09-11)Let G =(V, E) be a simple, nontrivial, finite, connected and undirected graph. For an integer 1 k diam(G), a distance k-dominating set of a connected graph G is a set S of vertices of G such that every vertex of V ... -
The Connected and Disjoint Union of Semi Jahangir Graphs Admit a Cycle-Super (a, d)-Atimagic Total Labeling
Dafik, Dafik; Agustin, Ika Hesti; D. Hardiyantik (2018-02-28)We assume that all graphs in this paper are finite, undirected and no loop and multiple edges. Given a graph G of order p and size q.LetH ,H be subgraphs of G.ByH -covering, we mean every edge in E(G) belongs to at ... -
The construction of encryption key by using a super H-antimagic total graph
Prihandoko, Antonius Cahya; Dafik, Dafik; Agustin, Ika Hesti; D. Susanto; Slamin, Slamin (2018-04-30)The strength of cryptosystem relays on the management of encryption key. The key should be managed such that it is hard for any intruder to analyze the key. Thus, the main issue is how to make the relation between ... -
The Construction of P2⊳H- antimagic graph using smaller edge - antimagic vertex labeling
Prihandini, Rafiantika Megahnia; Agustin, Ika Hesti; Dafik, Dafik (2018-07-04)In this paper we use simple and non trivial graph. If there exist a bijective function g : V (G) [ E(G) ! f1; 2; : : : ; jV (G)j + jE(G)jg, such that for all subgraphs P 2 B H of G isomorphic to H, then graph G is ... -
The Effect of Using Synectics Model on Creative Thinking and Metacognition Skills of Junior High School Students
Suratno, Suratno; Komaria, Nurul; Yushardi, Yushardi; Dafik, Dafik; Wicaksono, Iwan (International Journal of Instruction, July 2019, Vol.12, No.3, 2019-07-01)This study aims (a) to determine the effect of synectics model on creative thinking skill (b) to determine the effect of synectics model on metacognition skill. (c) to find out the relationship between creative thinking ... -
Implementation of Super H-antimagic Total graph on Establishing Stream Cipher
Prihandoko, Antonius Cahya; Dafik, Dafik; Agustin, Ika Hesti (2019-07-12)This paper is aimed to study the use of super (a; d)-H antimagic total graph on generating en- cryption keys that can be used to establish a stream cipher. Methodology to achieve this goal was undertaken in three steps. ... -
Local Edge Antimagic Coloring of Comb Product of Graphs
Agustin, Ika Hesti; Hasan, Mohammad; Dafik, Dafik; Alfarisi, Ridho; Kristiana, Arika Indah; Prihandini, Rafiantika Megahnia (2018-07-03)All graph in this paper are ¯nite, simple and connected graph. Let G(V; E) be a graph of vertex set V and edge set E. A bijection f : V (G) ¡! f1; 2; 3; :::; jV (G)jg is called a local edge antimagic labeling if for any ... -
LOCAL EDGE ANTIMAGIC COLORING OF GRAPHS
Agustin, Ika Hesti; Hasan, Mohammad; Dafik, Dafik; Alfarisi, Ridho; Prihandini, Rafiantika Megahnia (2018-02-28)All graphs considered in this paper are finite, simple and connected graphs. Let G(V, E) be a graph with the vertex set V and the edge set E, and let w be the edge weight of graph G. Then a bijection f: V (G) → {1, 2, 3, ... -
The Local Multiset Dimension of Graphs
Alfarisi, Ridho; Dafik, Dafik; Kristiana, Arika Indah; Agustin, Ika Hesti (2019-09-02)All graphs in this paper are nontrivial and connected graph. For 𝑘-ordered set 𝑊 = {𝑠1, 𝑠2, … , 𝑠𝑘} of vertex set 𝐺, the multiset representation of a vertex 𝑣 of 𝐺 with respect to 𝑊 is 𝑟𝑚(𝑣|𝑊) = ... -
Non-Isolated Resolving Number of Graphs with Homogeneous Pendant Edges
Alfarisi, Ridho; Dafik, Dafik; Kristiana, Arika Indah; Albirri, Ermita Rizki; Agustin, Ika Hesti (2018-10-29)A set is called a resolving set of if every vertices of have diff erent r epr esentation. The minimum cardinalit y of resolving set is metric dimension, denoted by . Furthermore, the resolving set of is called ... -
Non-Isolated Resolving Number of Graph with Pendant Edges
Alfarisi, Ridho; Dafik, Dafik; Kristiana, Arika Indah; Agustin, Ika Hesti (2019-07-25)We consider V; E are respectively vertex and edge sets of a simple, nontrivial and connected graph G. For an ordered set W = fw g of vertices and a vertex v 2 G, the ordered r(vjW) = (d(v; w 1 ); d(v; w 2 1 ; w 2 ; ... -
The non-isolated resolving number of k-corona product of graphs
Alfarisi, Ridho; Dafik, Dafik; Slamin, Slamin; Agustin, Ika Hesti; Kristiana, Arika Indah (2018-07-04)Let all graphs be a connected and simple graph. A set W = fw g of veretx set of G, the kvector ordered r(vjW) = (d(x; w 1 ); d(x; w 2 1 ; w 2 ); : : : ; d(x; w )) of is a representation of v with respect to W, ... -
On locating independent domination number of amalgamation graphs
Wardani, Dwi Agustin Retno; Dafik, Dafik; Agustin, Ika Hesti; Kurniawati, Elsa Yuli (2018-02-28)An independent set or stable set is a set of vertices in a graph in which no two of vertices are adjacent. A set D of vertices of graph G is called a dominating set if every vertex u 2 V (G) ¡ D is adjacent to some vertex ... -
On r-dynamic coloring of some graph operations
Agustin, Ika Hesti; Dafik, Dafik; A.Y. Harsya (2018-03-07)Let G be a simple, connected and undirected graph. Given r; k as any natural numbers. By an r-dynamic k-coloring of graph G, we mean a proper k-coloring c(v) of G such that jc(N(v))j minfr; d(v)g for each vertex v in ... -
On Rainbow k-Connection Number of Special Graphs and It's Sharp Lower Bound
Agustin, Ika Hesti; Dafik, Dafik; Gembong A.W (2018-02-28)Let G = (V; E) be a simple, nontrivial, nite, connected and undirected graph. Let c be a coloring c : E(G) ! f1; 2; : : : ; sg; s 2 N. A path of edge colored graph is said to be a rainbow path if no two edges on the ... -
On Super Edge Local Antimagic Total Labeling by Using an Edge Antimagic Vertex Labeling Technique
Agustin, Ika Hesti; Dafik, Dafik; Marsidi, Marsidi; Alfarisi, Ridho; Kurniawati, Elsa Yuli (2019-07-25)In this paper, we consider that all graphs are finite, simple and connected. Let G(V,E) be a graph of vertex set V and edge set E. By a edge local antimagic total labeling, we mean a bijection f:V(G)∪E(G)→{1,2,3,...,|V(G)|+|E(G)|} ... -
On Super Local Antimagic Total Edge Coloring of Some Wheel Related Graphs
Agustin, Ika Hesti; Alfarisi, Ridho; Dafik, Dafik; Kristiana, Arika Indah; Prihandini, Rafiantika Megahnia; Kurniawati, Elsa Yuli (2018-10-29)Let G be a connected graph, let V(G) be the vertex set of graph G, and let E(G) be the edge set of graph G. Thus, the bijective function f : V(G) ∪ E(G) −→ {1, 2, 3, ..., |V(G)| + |E(G)|} is called a local antimagic ... -
On The LDS of the Joint Product of Graphs
Agustin, Ika Hesti; Dafik, Dafik; Kusbudiono, Kusbudiono; Rachman, Shinta Aditya; Wardani, Dwi Agustin Retno (2019-09-02)Locating dominating set (LDS) is one of the topics of graph theory. A set VD of vertices in graph G is called a dominating set if every vertex V u is either an element of D or adjacent to some element ... -
On the local edge antimagicness of m-splitting graphs
Albirri, Ermita Rizki; Dafik, Dafik; Slamin, Slamin; Agustin, Ika Hesti; Alfarisi, Ridho (2018-07-03)Let G be a connected and simple graph. A split graph is a graph derived by adding new vertex v 0 in every vertex v such that v 0 adjacent to v in graph G. An m-splitting graph is a graph which has m v 0 -vertices, ...