Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse problems in geometric graphs using internal measurements   This article examines the inverse problem for a lossy quantum graph that is
internally excited and sensed. In particular, we supply an algorithmic
methodology for deducing the topology and geometric structure of the underlying
metric graph. Our algorithms rely on narrowband and visibility measurements,
and are therefore of considerable value to urban remote sensing applications.
In contrast to the traditional methods in quantum graphs, we employ ideas
related to algebraic and differential topology directly to our problem. This
neatly exposes and separates the impact of the graph topology and geometry.

12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci