How to Solve Is Graph Bipartite? Problem
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Is Graph Bipartite?
There is an undirected graph with n nodes, where each node is numbered between 0 and n - 1. You are given a 2D array graph, where graph[u] is an array of nodes that node u is adjacent to. More formall...
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Understanding the Is Graph Bipartite? Problem
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Problem Statement
There is an undirected graph with n nodes, where each node is numbered between 0 and n - 1. You are given a 2D array graph, where graph[u] is an array of nodes that node u is adjacent to. More formally, for each v in graph[u], there is an undirected edge between node u and node v. The graph has the following properties: There are no self-edges (graph[u] does not contain u). There are no parallel edges (graph[u] does not contain duplicate values). If v is in graph[u], then u is in graph[v] (the graph is undirected). The graph may not be connected, meaning there may be two nodes u and v such that there is no path between them. A graph is bipartite if the nodes can be partitioned into two independent sets A and B such that every edge in the graph connects a node in set A and a node in set B. Return true if and only if it is bipartite.
Is Graph Bipartite?
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Examples
graph = [[1,2,3],[0,2],[0,1,3],[0,2]]falseThere is no way to partition the nodes into two independent sets such that every edge connects a node in one and a node in the other.
graph = [[1,3],[0,2],[1,3],[0,2]]trueWe can partition the nodes into two sets: {0, 2} and {1, 3}.
Constraints
graph.length == n1 <= n <= 1000 <= graph[u].length < n0 <= graph[u][i] <= n - 1graph[u] does not contain u.All the values of graph[u] are unique.If graph[u] contains v, then graph[v] contains u.How Interview Coder Helps with Leetcode Problems
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