Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal open-locating-dominating sets in infinite triangular grids   An open-locating-dominating set (OLD-set) is a subset of vertices of a graph
such that every vertex in the graph has at least one neighbor in the set and no
two vertices in the graph have the same set of neighbors in the set. This is an
analogue to the well-studied identifying code in the literature. In this paper,
we prove that the optimal density of the OLD-set for the infinite triangular
grid is $4/13$.

5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph