I would like to work on Color-Coding Algorithm

[Zehen-249]

Color-Coding Algorithm

It is a probabilistic technique used for detecting small subgraph patterns (e.g., paths, cycles, trees) in large graphs efficiently. It provides an alternative to brute-force methods.
Detecting small subgraph patterns, such as a path of length k (i.e., a k-path) or a k-cycle, in an arbitrary graph G is NP-hard. A naive approach that checks all possible subsets of k vertices results in an exponential O(n^k ) time complexity, which is impractical for large graphs.
Color-Coding significantly reduces the time complexity to O(2^k ⋅poly(n)) by randomly assigning colors to vertices and then using dynamic programming to efficiently find the desired subgraph.

If available I would like to implement the algorithm in PyDataStructs.