Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Percolation on a maximally disassortative network   We propose a maximally disassortative (MD) network model which realizes a
maximally negative degree-degree correlation, and study its percolation
transition to discuss the effect of a strong degree-degree correlation on the
percolation critical behaviors. Using the generating function method for
bipartite networks, we analytically derive the percolation threshold and the
order parameter critical exponent, $\beta$. For the MD scale-free networks,
whose degree distribution is $P(k) \sim k^{-\gamma}$, we show that the
exponent, $\beta$, for the MD networks and corresponding uncorrelated networks
are same for $\gamma>3$ but are different for $2<\gamma<3$. A strong
degree-degree correlation significantly affects the percolation critical
behavior in heavy-tailed scale-free networks. Our analytical results for the
critical exponents are numerically confirmed by a finite-size scaling argument.

14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat