Results 41 to 50 of about 19,166,067 (60)

Local Antimagic r-dynamic Coloring of Graphs

, 2019
Let G = (V; E) be a connected graph. A bijection function f : E(G) ! f1; 2; 3; ; E(G)jg is called a local antimagic labeling if for all uv 2 E(G)s, w(u) 6= w(v), where w(u) = e2E(u)f(e).
KRISTIANA, Arika Indah, DAFIK, Dafik, UTOYO, Muhammad Imam, AGUSTIN, Ika Hesti, ALFARISI, Ridho   +4 more
core  

On local antimagic chromatic numbers of the join of two special families of graphs

It is known that null graphs and 1-regular graphs are the only regular graphs without local antimagic chromatic number. In this paper, we use matrices of size $(2m+1) \times (2k+1)$ to completely determine the local antimagic chromatic number of the join
Lau, Gee-Choon, Shiu, Wai Chee
core  

The Local Antimagic Chromatic Numbers of Some Join Graphs

Mathematical and Computational Applications, 2021
Let G=(V(G),E(G)) be a connected graph with n vertices and m edges. A bijection f:E(G)→{1,2,⋯,m} is an edge labeling of G. For any vertex x of G, we define ω(x)=∑e∈E(x)f(e) as the vertex label or weight of x, where E(x) is the ...
Hong Bian
exaly   +2 more sources

Local Super Antimagic Total Labeling for Vertex Coloring of Graphs

Symmetry, 2020
Let G=(V,E) be a graph with vertex set V and edge set E. A local antimagic total vertex coloring f of a graph G with vertex-set V and edge-set E is an injective map from V∪E to {1,2,…,|V|+|E|} such that if for each uv∈E(G) then w(u)≠w ...
Kristiana Wijaya
exaly   +2 more sources

On Bridge Graphs with Local Antimagic Chromatic Number 3

Mathematics
Let G=(V,E) be a connected graph. A bijection f:E→{1,…,|E|} is called a local antimagic labeling if, for any two adjacent vertices x and y, f+(x)≠f+(y), where f+(x)=∑e∈E(x)f(e), and E(x) is the set of edges incident to x.
Gee Choon Lau
exaly   +2 more sources

Local antimagic chromatic number of trees - I

Journal of Discrete Mathematical Sciences and Cryptography, 2022
Tao-Ming Wang, Subramanian Arumugam
exaly  

On number of pendants in local antimagic chromatic number

Journal of Discrete Mathematical Sciences and Cryptography, 2022
Wai Chee Shiu, Gee Choon Lau
exaly  

On modulo local antimagic chromatic number of graphs

Journal of Discrete Mathematical Sciences and Cryptography, 2022
Jianxi Li, Wai Chee Shiu, Gee Choon Lau
exaly  

Affirmative Solutions on Local Antimagic Chromatic Number

Graphs and Combinatorics, 2020
Wai Chee Shiu, Gee Choon Lau
exaly  

Local Distance Antimagic Chromatic Number for the Union of Star and Double Star Graphs

Ukrainian Mathematical Journal, 2023
M Nalliah
exaly