I would be really glad if you could suggest me a Matlab library containing functions that will allow me to list: 1) all paths from a source to dest node on a network identified by its adjacency matrix 2) when applying dijkstra algorithm, I want to get the list of nodes not only the distance in terms of edges.
I already looked at this but it just provide with the shortest distance.
Thank you for your support.
I don't know a library, but 1) should be quite simple to write by yourself.
If you want to analyse if you could reach one node from another node just calculate:
with the number of Nodes N, and the adjacency matrix G
the k-th matrix gives you information about the reachability in k-steps. If you use syms to name your edges in the matrix G, you will be able to identify all possible paths in the resulting matrix E.