6.1 用python代码绘制以下图形

用python绘制一个无向图：v1在中间，v2、v3、v4、v5、v6在周围；v1与v2、v3、v4相连；v2与v3、v6、v1相连；v3与v1、v2、v4相连；v4与v1、v3、v5相连；v5与v4、v6相连；v6与v2、v5相连

点击查看代码

import networkx as nx  
import matplotlib.pyplot as plt  

G = nx.Graph()  

nodes = ['v1', 'v2', 'v3', 'v4', 'v5', 'v6']  
G.add_nodes_from(nodes)  

edges = [  
    ('v1', 'v2'), ('v1', 'v3'), ('v1', 'v4'),  
    ('v2', 'v3'), ('v2', 'v6'),  
    ('v3', 'v4'),  
    ('v4', 'v5'),  
    ('v5', 'v6')  
]  
G.add_edges_from(edges)  
  
pos = nx.circular_layout(G)  

center = (0, 0)  
pos['v1'] = center  

plt.figure(figsize=(8, 8))  
nx.draw(G, pos, with_labels=True, node_color='skyblue', node_size=700, font_size=15, font_weight='bold')  
plt.title("Undirected Graph as Described")  
plt.axis('equal')  
plt.show()

print("学号：3004")


用python绘制一个无向图：v1在中间，v2、v3、v4、v5、v6在周围，要显示权重；v1与v2相连，权重为7；v1与v3相连，权重为3；v1与v4相连，权重为12；v2与v3相连，权重为1；v2与v6相连，权重为1；v3与v4相连，权重为8；v4与v5相连，权重9；v5与v6相连，权重为3

点击查看代码

import networkx as nx  
import matplotlib.pyplot as plt  

G = nx.Graph()  

nodes = ['v1', 'v2', 'v3', 'v4', 'v5', 'v6']  
G.add_nodes_from(nodes)  

edges = [  
    ('v1', 'v2', 7),  
    ('v1', 'v3', 3),  
    ('v1', 'v4', 12),  
    ('v2', 'v3', 1),  
    ('v2', 'v6', 1),  
    ('v3', 'v4', 8),  
    ('v4', 'v5', 9),  
    ('v5', 'v6', 3)  
]  
G.add_weighted_edges_from(edges)  
 
pos = nx.circular_layout(G)  

center = (0, 0)  
pos['v1'] = center  
  
def draw_edges_with_weights(G, pos):  
    edge_labels = {(u, v): d['weight'] for u, v, d in G.edges(data=True)}  
    nx.draw_networkx_edge_labels(G, pos, edge_labels=edge_labels)  
  
plt.figure(figsize=(10, 10))  
nx.draw(G, pos, with_labels=True, node_color='lightblue', node_size=700, font_size=15, font_weight='bold')  
draw_edges_with_weights(G, pos)  
plt.title("Undirected Graph with Weights")  
plt.axis('equal')  
plt.show()

print("学号：3004")


用python绘制一个有向图：v1在中间，v2、v3、v4、v5、v6在周围，要显示权重；v2指向v1，权重为7；v1指向v3，权重为3；v4指向v1，权重为12；v2指向v3，权重为1；v6指向v2，权重为1；v3指向v4，权重为8；v5指向v4，权重9；v5指向v6，权重为3

点击查看代码

import networkx as nx  
import matplotlib.pyplot as plt  

G = nx.DiGraph()  
 
nodes = ['v1', 'v2', 'v3', 'v4', 'v5', 'v6']  
G.add_nodes_from(nodes)  

edges = [  
    ('v2', 'v1', 7),  
    ('v1', 'v3', 3),  
    ('v4', 'v1', 12),  
    ('v2', 'v3', 1),  
    ('v6', 'v2', 1),  
    ('v3', 'v4', 8),  
    ('v5', 'v4', 9),  
    ('v5', 'v6', 3)  
]  
G.add_weighted_edges_from(edges)  
    
pos = nx.circular_layout(G)  
  
def draw_edges_with_weights(G, pos):  
    edge_labels = {(u, v): d['weight'] for u, v, d in G.edges(data=True)}  
    nx.draw_networkx_edge_labels(G, pos, edge_labels=edge_labels, font_color='red')  

plt.figure(figsize=(10, 10))  
nx.draw(G, pos, with_labels=True, node_color='lightblue', node_size=700, font_size=15, font_weight='bold', arrows=True)  
draw_edges_with_weights(G, pos)    
plt.title("Directed Graph with Weights")  
plt.axis('equal')    
plt.show()

print("学号：3004")