TY - JOUR

T1 - Local antimagic r-dynamic coloring of graphs

AU - Kristiana, A. I.

AU - Utoyo, M. I.

AU - Dafik,

AU - Agustin, I. H.

AU - Alfarisi, R.

N1 - Publisher Copyright:
© 2019 Published under licence by IOP Publishing Ltd.

PY - 2019/4/9

Y1 - 2019/4/9

N2 - Let G = (V, E) be a connected graph. A bijection function f : E(G) → {1,2, 3, • • •, E(G)|} is called a local antimagic labeling if for all uv ∈ E(G)s, w(u) ≠ w(v), where w(u) = ∑e∈E(u) f(e). Such that, local antimagic labeling induces a proper vertex k-coloring of graph G that the neighbors of any vertex u receive at least min{r, d(v)} different colors. The local antimagic r-dynamic chromatic number, denoted by (G) is the minimum k such that graph G has the local antimagic r-dynamic vertex k-coloring. In this paper, we will present the basic results namely the upper bound of the local antimagic r-dynamic chromatic number of some classes graph.

AB - Let G = (V, E) be a connected graph. A bijection function f : E(G) → {1,2, 3, • • •, E(G)|} is called a local antimagic labeling if for all uv ∈ E(G)s, w(u) ≠ w(v), where w(u) = ∑e∈E(u) f(e). Such that, local antimagic labeling induces a proper vertex k-coloring of graph G that the neighbors of any vertex u receive at least min{r, d(v)} different colors. The local antimagic r-dynamic chromatic number, denoted by (G) is the minimum k such that graph G has the local antimagic r-dynamic vertex k-coloring. In this paper, we will present the basic results namely the upper bound of the local antimagic r-dynamic chromatic number of some classes graph.

UR - http://www.scopus.com/inward/record.url?scp=85064869334&partnerID=8YFLogxK

U2 - 10.1088/1755-1315/243/1/012077

DO - 10.1088/1755-1315/243/1/012077

M3 - Conference article

AN - SCOPUS:85064869334

SN - 1755-1307

VL - 243

JO - IOP Conference Series: Earth and Environmental Science

JF - IOP Conference Series: Earth and Environmental Science

IS - 1

M1 - 012077

T2 - 1st International Conference on Environmental Geography and Geography Education, ICEGE 2018

Y2 - 17 November 2018 through 18 November 2018

ER -