How to Solve Longest Palindromic Path in Graph Problem
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Longest Palindromic Path in Graph
You are given an integer n and an undirected graph with n nodes labeled from 0 to n - 1 and a 2D array edges, where edges[i] = [ui, vi] indicates an edge between nodes ui and vi. You are also given a ...
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Understanding the Longest Palindromic Path in Graph Problem
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Problem Statement
You are given an integer n and an undirected graph with n nodes labeled from 0 to n - 1 and a 2D array edges, where edges[i] = [ui, vi] indicates an edge between nodes ui and vi. You are also given a string label of length n, where label[i] is the character associated with node i. You may start at any node and move to any adjacent node, visiting each node at most once. Return the maximum possible length of a palindrome that can be formed by visiting a set of unique nodes along a valid path.
Longest Palindromic Path in Graph
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Examples
n = 3, edges = [[0,1],[1,2]], label = "aba"
3
The longest palindromic path is from node 0 to node 2 via node 1, following the path 0 → 1 → 2 forming string "aba". This is a valid palindrome of length 3.
n = 3, edges = [[0,1],[0,2]], label = "abc"
1
No path with more than one node forms a palindrome. The best option is any single node, giving a palindrome of length 1.
n = 4, edges = [[0,2],[0,3],[3,1]], label = "bbac"
3
The longest palindromic path is from node 0 to node 1, following the path 0 → 3 → 1, forming string "bcb". This is a valid palindrome of length 3.
Constraints
1 <= n <= 14
n - 1 <= edges.length <= n * (n - 1) / 2
edges[i] == [ui, vi]
0 <= ui, vi <= n - 1
ui != vi
label.length == n
label consists of lowercase English letters.
There are no duplicate edges.
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