human
What is a code to check if every vertex triplet in graph contains two vertices connected to third vertex and the other steps required given the following:
Check if every vertex triplet in graph contains two vertices connected to third vertex | Function to add edge into the graph.
Finding the maximum and minimum values in each component.
Function for checking whether the given graph is valid or not.
Checking for intersecting intervals.
If intersection is found.
Graph is not valid.
Function for the DFS Traversal.
Traversing for every vertex.
Storing maximum and minimum values of each component.
Driver code"
How can the above be solved in Python?
assistant
#Here is code to check if every vertex triplet in graph contains two vertices connected to third vertex and the other steps required.
 def addEdge ( adj , u , v ) :
	adj [ u ] . append ( v )
	adj [ v ] . append ( u )
	return adj
def DFSUtil ( u , adj , visited , componentMin , componentMax ) :
	visited [ u ] = True
	componentMax = max ( componentMax , u )
	componentMin = min ( componentMin , u )
	for i in range ( len ( adj [ u ] ) ) :
		if ( visited [ adj [ u ] [ i ] ] == False ) :
			visited , componentMax , componentMin = DFSUtil ( adj [ u ] [ i ] , adj , visited , componentMin , componentMax )
	return visited , componentMax , componentMin
def isValid ( v ) :
	MAX = - 1
	ans = False
	for i in v :
		if len ( i ) != 2 :
			continue
		if ( i [ 0 ] <= MAX ) :
			ans = True
		MAX = max ( MAX , i [ 1 ] )
	return ( True if ans == False else False )
def DFS ( adj , V ) :
	v = [ [ ] ]
	visited = [ False for i in range ( V + 1 ) ]
	for u in range ( 1 , V + 1 ) :
		if ( visited [ u ] == False ) :
			componentMax = u
			componentMin = u
			visited , componentMax , componentMin = DFSUtil ( u , adj , visited , componentMin , componentMax )
			v . append ( [ componentMin , componentMax ] )
	check = isValid ( v )
	if ( check ) :
		print ( ' Yes ' )
	else :
		print ( ' No ' )
	return
if __name__ == " _ _ main _ _ " :
	N = 4
	K = 3
	adj = [ [ ] for i in range ( N + 1 ) ]
	adj = addEdge ( adj , 1 , 2 )
	adj = addEdge ( adj , 2 , 3 )
	adj = addEdge ( adj , 3 , 4 )
	DFS ( adj , N )