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kruskal python implementation

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Nervous Newt answered on April 29, 2022 Popularity 9/10 Helpfulness 5/10

answer kruskal python implementation

related kruskal python

related kruskal's algorithm python

kruskal python implementation

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class Graph:
    def __init__(self, vertex):
        self.V = vertex
        self.graph = []
 
    def add_edge(self, u, v, w):
        self.graph.append([u, v, w])
 
 
    def search(self, parent, i):
        if parent[i] == i:
            return i
        return self.search(parent, parent[i])
 
    def apply_union(self, parent, rank, x, y):
        xroot = self.search(parent, x)
        yroot = self.search(parent, y)
        if rank[xroot] < rank[yroot]:
            parent[xroot] = yroot
        elif rank[xroot] > rank[yroot]:
            parent[yroot] = xroot
        else:
            parent[yroot] = xroot
            rank[xroot] += 1
 
  
    def kruskal(self):
        result = []
        i, e = 0, 0
        self.graph = sorted(self.graph, key=lambda item: item[2])
        parent = []
        rank = []
        for node in range(self.V):
            parent.append(node)
            rank.append(0)
        while e < self.V - 1:
            u, v, w = self.graph[i]
            i = i + 1
            x = self.search(parent, u)
            y = self.search(parent, v)
            if x != y:
                e = e + 1
                result.append([u, v, w])
                self.apply_union(parent, rank, x, y)
        for u, v, weight in result:
            print("Edge:",u, v,end =" ")
            print("-",weight)
 
 
g = Graph(5)
g.add_edge(0, 1, 8)
g.add_edge(0, 2, 5)
g.add_edge(1, 2, 9)
g.add_edge(1, 3, 11)
g.add_edge(2, 3, 15)
g.add_edge(2, 4, 10)
g.add_edge(3, 4, 7)
g.kruskal()

Popularity 9/10 Helpfulness 5/10 Language python

Source: www.pythonpool.com

Tags: implementation python

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Contributed on Apr 29 2022

Nervous Newt

0 Answers Avg Quality 2/10

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kruskal python

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class UnionFind:
    def __init__(self, n):
        self.parent = list(range(n))
        self.rank = [0] * n

    def find(self, x):
        if self.parent[x] != x:
            self.parent[x] = self.find(self.parent[x])
        return self.parent[x]

    def union(self, x, y):
        root_x = self.find(x)
        root_y = self.find(y)

        if root_x != root_y:
            if self.rank[root_x] < self.rank[root_y]:
                self.parent[root_x] = root_y
            elif self.rank[root_x] > self.rank[root_y]:
                self.parent[root_y] = root_x
            else:
                self.parent[root_x] = root_y
                self.rank[root_y] += 1

def kruskal(graph):
    edges = []
    for node in graph:
        for neighbor, weight in graph[node].items():
            edges.append((weight, node, neighbor))
    edges.sort()  # Sort edges in non-decreasing order of weight

    minimum_spanning_tree = []
    n = len(graph)
    uf = UnionFind(n)

    for weight, node1, node2 in edges:
        if uf.find(node1) != uf.find(node2):
            minimum_spanning_tree.append((node1, node2, weight))
            uf.union(node1, node2)

    return minimum_spanning_tree

# Example graph represented as a dictionary of dictionaries (weighted graph)
graph = {
    'A': {'B': 1, 'C': 4},
    'B': {'A': 1, 'C': 2, 'D': 5},
    'C': {'A': 4, 'B': 2, 'D': 1},
    'D': {'B': 5, 'C': 1}
}

minimum_spanning_tree = kruskal(graph)
print(minimum_spanning_tree)

Popularity 6/10 Helpfulness 9/10 Language python

Source: chat.openai.com

Tags: python

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Contributed on Oct 23 2023

Innocent Iguana

0 Answers Avg Quality 2/10

kruskal's algorithm python

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# Define the class for the Disjoint Set Union data structure
class DSU:
    def __init__(self, n):
        self.parent = list(range(n))
        self.size = [1] * n

    def find(self, u):
        if u != self.parent[u]:
            self.parent[u] = self.find(self.parent[u])
        return self.parent[u]

    def union(self, u, v):
        pu, pv = self.find(u), self.find(v)
        if pu == pv:
            return False

        if self.size[pu] < self.size[pv]:
            pu, pv = pv, pu

        self.parent[pv] = pu
        self.size[pu] += self.size[pv]
        return True

# Implementation of Kruskal's algorithm
def kruskal(edges, n):
    edges.sort(key=lambda x: x[2])
    dsu = DSU(n)
    minimum_spanning_tree = []

    for u, v, weight in edges:
        if dsu.union(u, v):
            minimum_spanning_tree.append((u, v, weight))

    return minimum_spanning_tree

# Sample usage of Kruskal's algorithm
edges = [
    (0, 1, 4),
    (0, 2, 3),
    (1, 2, 2),
    (2, 3, 1),
]
n = 4

minimum_spanning_tree = kruskal(edges, n)
for edge in minimum_spanning_tree:
    print(edge)

Popularity 6/10 Helpfulness 1/10 Language python

Source: Grepper

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Contributed on Sep 12 2023

YOU.com

0 Answers Avg Quality 2/10

kruskal python implementation

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