Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Junction Trees   The paper deals with optimality issues in connection with updating beliefs in
networks. We address two processes: triangulation and construction of junction
trees. In the first part, we give a simple algorithm for constructing an
optimal junction tree from a triangulated network. In the second part, we argue
that any exact method based on local calculations must either be less efficient
than the junction tree method, or it has an optimality problem equivalent to
that of triangulation.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas