0785. Is Graph Bipartite?

https://leetcode.com/problems/is-graph-bipartite

Description

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.

Example 1:

**Input:** graph = [[1,2,3],[0,2],[0,1,3],[0,2]]
**Output:** false
**Explanation:** There 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.

Example 2:

**Input:** graph = [[1,3],[0,2],[1,3],[0,2]]
**Output:** true
**Explanation:** We can partition the nodes into two sets: {0, 2} and {1, 3}.

Constraints:

• graph.length == n

• 1 <= n <= 100

• 0 <= graph[u].length < n

• 0 <= graph[u][i] <= n - 1

• graph[u] does not contain u.

• All the values of graph[u] are unique.

• If graph[u] contains v, then graph[v] contains u.

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