Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Integer Additive set-Sequential Graphs   A set-labeling of a graph $G$ is an injective function $f:V(G)\to
\mathcal{P}(X)$, where $X$ is a finite set of non-negative integers and a
set-indexer of $G$ is a set-labeling such that the induced function
$f^{\oplus}:E(G)\rightarrow \mathcal{P}(X)-\{\emptyset\}$ defined by
$f^{\oplus}(uv) = f(u){\oplus}f(v)$ for every $uv{\in} E(G)$ is also injective.
A set-indexer $f:V(G)\to \mathcal{P}(X)$ is called a set-sequential labeling of
$G$ if $f^{\oplus}(V(G)\cup E(G))=\mathcal{P}(X)-\{\emptyset\}$. A graph $G$
which admits a set-sequential labeling is called a set-sequential graph. An
integer additive set-labeling is an injective function $f:V(G)\rightarrow
\mathcal{P}(\mathbb{N}_0)$, $\mathbb{N}_0$ is the set of all non-negative
integers and an integer additive set-indexer is an integer additive
set-labeling such that the induced function $f^+:E(G) \rightarrow
\mathcal{P}(\mathbb{N}_0)$ defined by $f^+ (uv) = f(u)+ f(v)$ is also
injective. In this paper, we extend the concepts of set-sequential labeling to
integer additive set-labelings of graphs and provide some results on them.

36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
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
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg