Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enhancing synchronization by directionality in complex networks   We proposed a method called residual edge-betweenness gradient (REBG) to
enhance synchronizability of networks by assignment of link direction while
keeping network topology and link weight unchanged. Direction assignment has
been shown to improve the synchronizability of undirected networks in general,
but we find that in some cases incommunicable components emerge and networks
fail to synchronize. We show that the REBG method can effectively avoid the
synchronization failure ($R=\lambda_{2}^{r}/\lambda_{N}^{r}=0$) which occurs in
the residual degree gradient (RDG) method proposed in Phys. Rev. Lett. 103,
228702 (2009). Further experiments show that REBG method enhance
synchronizability in networks with community structure as compared with the RDG
method.

36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin