CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Vol 1, No 2 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

Dimensi Metrik Sisi Pada Beberapa Graf Unicyclic

Bayu Aprilianto (University of Jember)
Dafik Dafik (University of Jember)
Ermita Rizki Albirri (University of Jember)



Article Info

Publish Date
28 Dec 2020

Abstract

All the graphs in this paper are connected graphs and $d(e,v)$ is the length of the shortest path between $e=uv$ and $v$. Let $G=(V,E)$ where $V(G)$ is a set of vertex from graph $G$ while $E(G)$ is a set of edge from graph $G$. The edge metric dimension is a topic that is closely related to the cardinality of the distance of each edge on the graph $G$ with respect to the resolving set $W$ which is denoted by $dim_E(G)$. Let if the subset of vertex $W=\{w_1,w_2,w_3,...,$ $w_k\}$, then the representation of the distance of the $uv$ edge to the set of differences is k-tuple $r(uv|W)=(d(uv,w_1),d(uv,w_2),d(uv,w_3),...,d(uv,w_k)$. A unicyclic graph is one that only has exactly one cycle. In this paper, we will study edge metric dimensions on some families of unicyclic graphs. 

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Journal Info

Abbrev

cgant

Publisher

Subject

Computer Science & IT Other

Description

Subjects suitable for publication include, the following fields of: Degree Diameter Problem in Graph Theory Large Graphs in Computer Science Mathematical Computation of Graph Theory Graph Coloring in Atomic and Molecular Graph Labeling in Coding Theory and Cryptography Dimensions of graphs on ...