Article Per Year (5 Year)
p-Index From 2019 - 2024
0
P-Index
This Author published in this journals
All Journal UNEJ e-Proceeding
Arika Indah Kriatiana
CGANT University of Jember Indonesia; Mathematics Depart. University of Jember Indonesia
Education

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
On the edge r-dynamic chromatic number of some related graph operations Novian Nur Fatihah; Arika Indah Kriatiana; Ika Hesti Agustin; Dafik Dafik
UNEJ e-Proceeding 2016: Proceeding The 1st International Basic Science Conference
Publisher : UPT Penerbitan Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

All graphs in this paper are simple, nontrivial, connected and undirected. By an edge proper k-coloring of a graph G, we mean a map c : E(G) ! S, where jSj = k, such that any two adjacent edges receive different colors. An edge r-dynamic k-coloring is a proper k-coloring c of G such that jc(N(uv))j min (r; d(u) + d(v) ???? 2) for each edge uv in V (G), where N(uv) is the neighborhood of uv and c(S) = c(uv) : uv2S for an edge subset S. The edge r-dynamic chromatic number, written as r(G), is the minimum k such that G has an edge r-dynamic k-coloring. In this paper, we will determine the edge coloring r-dynamic number of a comb product of some graph, denote by G D H. Comb product of some graph is a graph formed by two graphs G and H, where each edge of graph G is replaced by which one edge of graph H.
Co-Authors D. Dafik Ika Hesti Agustin, Ika Hesti Novian Nur Fatihah