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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
Local antimagic chromatic number for the corona product of wheel and null graphs
R. Shankar, M. Ch. Nalliah Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, VIT, Vellore Campus, Tiruvalam Rd, Katpadi, Vellore, Tamil Nadu, 632014, India
Abstract:
Let $G=(V,E)$ be a graph of order $p$ and size $q$ having no isolated vertices. A bijection $f\colon E{\rightarrow}\left\{1,2,3,\ldots,q \right\}$ is called a local antimagic labeling if for all $uv\in E$, we have $w(u)\neq w(v)$, the weight $w(u)=\sum_{e\in E(u)}f(e)$, where $E(u)$ is the set of edges incident to $u$. A graph $G$ is local antimagic, if $G$ has a local antimagic labeling. The local antimagic chromatic number $\chi_{la}(G)$ is defined to be the minimum number of colors taken over all colorings of $G$ induced by local antimagic labelings of $G$. In this paper, we completely determine the local antimagic chromatic number for the corona product of wheel and null graphs.
Keywords:
local antimagic labeling, local antimagic chromatic number, corona product, wheel graph.
Received: 12.05.2022 Accepted: 03.08.2022
Citation:
R. Shankar, M. Ch. Nalliah, “Local antimagic chromatic number for the corona product of wheel and null graphs”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:3 (2022), 463–485
Linking options:
https://www.mathnet.ru/eng/vuu821 https://www.mathnet.ru/eng/vuu/v32/i3/p463
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