I believe you can also use Yen's K-Shortest Path algorithm. I would recommend searching the MATLAB file exchange for any implementation of this function. I was able to find the following to implementation of this algorithm:
Please note that you would have to store the information regarding the edges of the given graph somewhere (For example a matrix). Without the information about edges, it might not be possible to achieve this. Thus, I would recommend creating and storing information regarding the edges of this graph in a matrix before trying the above given solutions/ideas.