Scientific Reports 6: Article number: 25294; published online: 04 May 2016; updated: 10 October 2016.

This Article contains typographical errors.

In the Results section under subheading ‘Scale-free networks’,

“We keep RB constant in eq. (4), and check the behaviours of the order parameter RA

should read:

“We keep RB constant in eq. (3), and check the behaviours of the order parameter RA

In the same section,

“Similar to the coupled random networks, and can be solved numerically by letting in eq. (4),”

should read:

“Similar to the coupled random networks, and can be solved numerically by letting in eq. (3),”

In the same section,

“At the other tricritical point βc, the conditions of continuous and discontinuous percolation transitions are satisfied simultaneously, i.e., βc makes the first and the second order derivative of eq. (4) with respective SA hold at the percolation transition point pc”.

should read:

“At the other tricritical point βc, the conditions of continuous and discontinuous percolation transitions are satisfied simultaneously, i.e., βc makes the first and the second order derivative of eq. (3) with respective RA hold at the percolation transition point pc”.

In the same section,

“Similar to random networks, we cannot get the analytical expressions for the first order percolation transition points, but they can be solved numerically by eq. (4)”.

should read:

“Similar to random networks, we cannot get the analytical expressions for the first order percolation transition points, but they can be solved numerically by eqs. (3) and (4)”.