Overview
An undirected graph is given. A graph is claimed to be bipartite if the nodes of the graph may be partitioned into two subsets such that each edge connects one node within the first subset to another node within the second subset.
The graph incorporates n nodes numbered from 0 to n-1. Enter is a matrix named graph which is a 2D matrix the place graph[i] incorporates the node to which ith node is linked. For eg if
graph[0] = [1,3]
this implies node 0 is linked to node 1 and node 3
Instance 1
Enter: [[1,3],[0,2],[1,3],[0,2]]
Output: true
Instance 2
Enter: [[1,4],[0,2],[1,3],[2,4],[0,3]
Output: false
Thought is to make use of DFS right here. We are going to attempt to assign both crimson or black coloration to every of the nodes. If a node is coloured crimson then its neighbors should be coloured black.
- We’re in a position to coloration on this means then the graph is bipartite
- If whereas coloring we discover that two nodes linked by an edge have the identical coloration then the graph is just not bipartite
Let’s see this system for a similar
Beneath is this system for a similar
package deal major
import "fmt"
func isBipartite(graph [][]int) bool {
nodeMap := make(map[int][]int)
numNodes := len(graph)
if numNodes == 1 {
return true
}
for i := 0; i
true
false
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