algorithm - undirected - total number of paths in a graph
Algorithm to find the number of distinct paths in a directed graph (1)
If you follow a slightly modified Dijkstra's algorithm, you can have an all-pair solution.
Explanation: Paths from
v is the sum of the following:
- Paths from
vwhich doesn't pass through
- Paths which go through
w= number of paths from
wtimes number of paths from
Initialise the matrix with zeros except when there is an edge from
j (which is 1).
Then the following algorithm will give you the result (all-pair-path-count)
for i = 1 to n: for j = 1 to n: for k = 1 to n: paths[i][i] += paths[i][k] * paths[k][j]
Needless to say :
Eager to read a single pair solution. :)
Graph Algorithm To Find All Connections Between Two Arbitrary Vertices
I have a directed graph, what algorithm can i use to find the number of distinct acyclic paths between 2 particular vertices, and count the maximum times any path is used in these distinct paths? Two paths are distinct if they either visit a different number of vertices or visit vertices in a different order.