FindPath

FindPath[g, s, t] finds a path between vertices s and t in graph g. FindPath[g, s, t, k, n] finds up to n paths of length at most k.

Examples

Find any path:

g = Graph[{1 <-> 2, 2 <-> 3, 1 <-> 3}]
FindPath[g, 1, 3]
(* {{1, 3}} *)

Find multiple paths:

FindPath[g, 1, 3, Infinity, All]
(* {{1, 3}, {1, 2, 3}} *)

Paths of specific length:

FindPath[g, 1, 3, {2}]
(* {{1, 2, 3}} - length exactly 2 *)

Please visit the official Wolfram Language Reference for more details.