Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On local antimagic chromatic number of cycle-related join graphs II   An edge labeling of a graph $G = (V, E)$ is said to be local antimagic if it
is a bijection $f:E \to\{1,\ldots ,|E|\}$ such that for any pair of adjacent
vertices $x$ and $y$, $f^+(x)\not= f^+(y)$, where the induced vertex label of
$x$ is $f^+(x)= \sum_{e\in E(x)} f(e)$ ($E(x)$ is the set of edges incident to
$x$). The local antimagic chromatic number of $G$, denoted by $\chi_{la}(G)$,
is the minimum number of distinct induced vertex labels over all local
antimagic labelings of $G$. In this paper, several sufficient conditions to
determine the local antimagic chromatic number of the join of graphs are
obtained. We then determine the exact value of the local antimagic chromatic
number of many join graphs.

36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex