Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: K-Scaffold subgraphs of Complex networks   Complex networks with high numbers of nodes or links are often difficult to
analyse. However, not all elements contribute equally to their structural
patterns. A small number of elements (the hubs) seem to play a particularly
relevant role in organizing the overall structure around them. But other parts
of the architecture (such as hub-hub connecting elements) are also important.
In this letter we present a new type of substructure, to be named the
$K$-scaffold subgraph, able to capture all the essential network components.
Their key features, including the so called critical scaffold graph, are
analytically derived.

17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex