Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic incidence energy and Laplacian-energy-like invariant of the
  Union Jack lattice   The incidence energy $\mathscr{IE}(G)$ of a graph $G$, defined as the sum of
the singular values of the incidence matrix of a graph $G$, is a much studied
quantity with well known applications in chemical physics. The
Laplacian-energy-like invariant of $G$ is defined as the sum of square roots of
the Laplacian eigenvalues. In this paper, we obtain the closed-form formulae
expressing the incidence energy and the Laplacian-energy-like invariant of the
Union Jack lattice. Moreover, the explicit asymptotic values of these
quantities are calculated by utilizing the applications of analysis approach
with the help of calculational software.

18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci