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import greedy_graph_coloring as greedy
import backtracking_graph_coloring_optimal as backtr
import dsatur_coloring as dsatur
import crown_graph_generator as crown_gen
import networkx as nx
import matplotlib.pyplot as plt
import time
def add_neighbors(node, neighbors):
for i in neighbors:
node.append(i)
def read_graph_from_file(filename):
with open(filename, "r") as f:
lines = f.readlines()
nodes_number, edges_number = map(int, lines[0].split())
graph = [[] for _ in range(nodes_number)]
for line in lines[1:]:
u, v = map(int, line.split())
graph[u].append(v)
graph[v].append(u)
return graph
def display_graph(graph):
for i in range(len(graph)):
print(f"{i}: ", end="")
for neighbor in graph[i]:
print(f"{neighbor} ", end="")
print()
def plot_graph(G, coloring, filename):
nodes = G.nodes()
color_map = {i: plt.cm.rainbow(i / (max(coloring) + 1)) for i in range(max(coloring) + 1)}
node_colors = [color_map[coloring[i]] for i in nodes]
pos = nx.spring_layout(G)
plt.figure(figsize=(8, 6))
nx.draw(G, pos, with_labels=True, node_color=node_colors, node_size=500, font_size=16)
plt.savefig(filename)
############################# good order crown graph #############################
def good_order_crown_graph():
crown_gen.generate_good_order_cg()
graph = read_graph_from_file("good_order_crown_graph.in")
print(f"Well ordered crown graph with {len(graph)} nodes:")
display_graph(graph)
G = nx.Graph()
for node, neighbors in enumerate(graph):
for neighbor in neighbors:
G.add_edge(node, neighbor)
start_time = time.time()
coloring_backtracking = backtr.backtr_optimal(graph)
end_time = time.time()
plot_graph(G, coloring_backtracking, "./images/good_order_crown_graph_backtracking.png")
colors_nr = len(set(coloring_backtracking))
print(f"Backtracking used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_greedy = greedy.greedy_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_greedy, "./images/good_order_crown_graph_greedy.png")
colors_nr = len(set(coloring_greedy))
print(f"Greedy used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_dsatur = dsatur.dsatur_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_dsatur, "./images/good_order_crown_graph_dsatur.png")
colors_nr = len(set(coloring_dsatur))
print(f"Dsatur used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
print()
############################# bad order crown graph #############################
def bad_order_crown_graph():
crown_gen.generate_bad_order_cg()
graph = read_graph_from_file("bad_order_crown_graph.in")
print(f"Bad ordered crown graph with {len(graph)} nodes:")
display_graph(graph)
G = nx.Graph()
for node, neighbors in enumerate(graph):
for neighbor in neighbors:
G.add_edge(node, neighbor)
start_time = time.time()
coloring_backtracking = backtr.backtr_optimal(graph)
end_time = time.time()
plot_graph(G, coloring_backtracking, "./images/bad_order_crown_graph_backtracking.png")
colors_nr = len(set(coloring_backtracking))
print(f"Backtracking used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_greedy = greedy.greedy_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_greedy, "./images/bad_order_crown_graph_greedy.png")
colors_nr = len(set(coloring_greedy))
print(f"Greedy used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_dsatur = dsatur.dsatur_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_dsatur, "./images/bad_order_crown_graph_dsatur.png")
colors_nr = len(set(coloring_dsatur))
print(f"Dsatur used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
print()
############################# good order chordal graph #############################
def good_order_chordal_graph():
graph = read_graph_from_file("good_order_chordal_graph.in")
G = nx.Graph()
for node, neighbors in enumerate(graph):
for neighbor in neighbors:
G.add_edge(node, neighbor)
if nx.is_chordal(G):
print(f"Well ordered nodes in chordal graph with {len(graph)} nodes:")
display_graph(graph)
start_time = time.time()
coloring_backtracking = backtr.backtr_optimal(graph)
end_time = time.time()
plot_graph(G, coloring_backtracking, "./images/good_order_chordal_graph_backtracking.png")
colors_nr = len(set(coloring_backtracking))
print(f"Backtracking used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_greedy = greedy.greedy_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_greedy, "./images/good_order_chordal_graph_greedy.png")
colors_nr = len(set(coloring_greedy))
print(f"Greedy used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_dsatur = dsatur.dsatur_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_dsatur, "./images/good_order_chordal_graph_dsatur.png")
colors_nr = len(set(coloring_dsatur))
print(f"Dsatur used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
else:
print("Graph is not chordal")
print()
############################# bad order chordal graph #############################
def bad_order_chordal_graph():
graph = read_graph_from_file("bad_order_chordal_graph.in")
G = nx.Graph()
for node, neighbors in enumerate(graph):
for neighbor in neighbors:
G.add_edge(node, neighbor)
if nx.is_chordal(G):
print(f"Bad ordered nodes in chordal graph with {len(graph)} nodes:")
display_graph(graph)
start_time = time.time()
coloring_backtracking = backtr.backtr_optimal(graph)
end_time = time.time()
plot_graph(G, coloring_backtracking, "./images/bad_order_chordal_graph_backtracking.png")
colors_nr = len(set(coloring_backtracking))
print(f"Backtracking used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_greedy = greedy.greedy_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_greedy, "./images/bad_order_chordal_graph_greedy.png")
colors_nr = len(set(coloring_greedy))
print(f"Greedy used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_dsatur = dsatur.dsatur_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_dsatur, "./images/bad_order_chordal_graph_dsatur.png")
colors_nr = len(set(coloring_dsatur))
print(f"Dsatur used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
else:
print("Graph is not chordal")
print()
############################# bacsic graph #############################
def basic_graph():
graph = read_graph_from_file("basic_graph.in")
G = nx.Graph()
for node, neighbors in enumerate(graph):
for neighbor in neighbors:
G.add_edge(node, neighbor)
print(f"Basic graph with {len(graph)} nodes:")
display_graph(graph)
start_time = time.time()
coloring_backtracking = backtr.backtr_optimal(graph)
end_time = time.time()
plot_graph(G, coloring_backtracking, "./images/graph_backtracking.png")
colors_nr = len(set(coloring_backtracking))
print(f"Backtracking used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_greedy = greedy.greedy_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_greedy, "./images/graph_greedy.png")
colors_nr = len(set(coloring_greedy))
print(f"Greedy used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
start_time = time.time()
coloring_dsatur = dsatur.dsatur_coloring(graph)
end_time = time.time()
plot_graph(G, coloring_dsatur, "./images/graph_dsatur.png")
colors_nr = len(set(coloring_dsatur))
print(f"Dsatur used {colors_nr} colors.")
execution_time = end_time - start_time
print(f"Execution time: {execution_time:.6f} seconds")
print()
def main():
good_order_crown_graph()
bad_order_crown_graph()
good_order_chordal_graph()
bad_order_chordal_graph()
basic_graph()
if __name__ == "__main__":
main()