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Vertex Coloring Edge-Weighting of Coronation by Path Graphs
(IOP Conf. Series: Journal of Physics: Conf. Series 1211 (2019) 012004, 2019-05-07)
In this paper, we study vertex coloring edge of corona graph. A k-edge weigting of
graph G is mapping w : (EG) ! f1; 2; ; kg. An edge-weighting w induces a vertex coloring
Fw : V (G) ! N de ned by fw(v) =
P
v2e
w(e). ...
On the Chromatic Number Local Irregularity of Related Wheel Graph
(IOP Conf. Series: Journal of Physics: Conf. Series 1211 (2019) 012003, 2019-05-07)
A function f is called a local irregularity vertex coloring if (i) l : V (G) !
f1; 2; ; kg as vertex irregular k-labeling and w : V (G) ! N, for every uv 2 E(G); w(u)
6= w(v)
where w(u) = v2N(u)l(v) and (ii) ...