Bipartite Graph Problem

Check whether a given graph is bipartite or not. Return true if the graph's vertices can be divided into two independent sets, ‘U’ and ‘V’, such that every edge (‘u’, ‘v’) either connects a vertex from ‘U’ to ‘V’ or a vertex from ‘V’ to ‘U’.

You are provided with a 2D array edges consisting of 0s and 1s, where edges[i][j] = 1 indicates a bi-directional edge between vertices i and j. Edge existence implies both (i → j) and (j → i).

Input:

‘N’ = 3 ‘edges’ = [[0, 1, 1], [0, 0, 1], [0, 0, 0]]

Output:

True or False (whether the graph is bipartite)

Example:

Given:

‘N’ = 3 ‘edges’ = [[0, 1, 1], [0, 0, 1], [0,0,0]]

Explanation:

The function should return whether the input graph is bipartite.

Constraints:

1

Question

Bipartite Graph Problem

Check whether a given graph is bipartite or not. Return true if the graph's vertices can be divided into two independent sets, ‘U’ and ‘V’, such that every edge (‘u’, ‘v’) either connects a vertex from ‘U’ to ‘V’ or a vertex from ‘V’ to ‘U’.

You are provided with a 2D array edges consisting of 0s and 1s, where edges[i][j] = 1 indicates a bi-directional edge between vertices i and j. Edge existence implies both (i → j) and (j → i).

Input:

‘N’ = 3 ‘edges’ = [[0, 1, 1], [0, 0, 1], [0, 0, 0]]

Output:

True or False (whether the graph is bipartite)

Example:

Given:

‘N’ = 3 ‘edges’ = [[0, 1, 1], [0, 0, 1], [0,0,0]]

Explanation:

The function should return whether the input graph is bipartite.

Constraints:

1 <= ‘T’ <= 10
2 <= ‘N’ <= 300
0 <= ‘edges[i][j]’ <= 1
Time Limit: 1 second

Note:

Do not print the outcome, only implement the function to return the necessary result.

Accepted Answer

Check if a given graph is bipartite by dividing vertices into two independent sets.

Use BFS or DFS to traverse the graph and assign colors to vertices to check for bipartiteness.
If an edge connects vertices of the same color, the graph is not bipartite.
Return true if all edges connect vertices of different colors, else return false.