How do I implement graphs and graph algorithms in a functional programming language?

You might check out how Martin Erwig’s Haskell functional graph library does things. For instance, its shortest-path functions are all pure, and you can see the source code for how it’s implemented. Another option, like fmark mentioned, is to use an abstraction which allows you to implement pure functions in terms of state. He mentions … Read more

Draw different color for nodes in networkx based on their node value

import networkx as nx import numpy as np import matplotlib.pyplot as plt G = nx.Graph() G.add_edges_from( [(‘A’, ‘B’), (‘A’, ‘C’), (‘D’, ‘B’), (‘E’, ‘C’), (‘E’, ‘F’), (‘B’, ‘H’), (‘B’, ‘G’), (‘B’, ‘F’), (‘C’, ‘G’)]) val_map = {‘A’: 1.0, ‘D’: 0.5714285714285714, ‘H’: 0.0} values = [val_map.get(node, 0.25) for node in G.nodes()] nx.draw(G, cmap=plt.get_cmap(‘viridis’), node_color=values, with_labels=True, font_color=”white”) … Read more

What are good examples of problems that graphs can solve better than the alternative? [closed]

Computer Networks: Graphs model intuitively model computer networks and the Internet. Often nodes will represent end-systems or routers, while edges represent connections between these systems. Data Structures: Any data structure that makes use of pointers to link data together is making use of a graph of some kind. This includes tree structures and linked lists … Read more

Rendering a dynamically created family graph with no overlapping using a depth first search?

Although an answer has been posted (and accepted), I thought there is no harm in posting what I worked upon this problem last night. I approached this problem more from a novice point of view rather than working out with existing algorithms of graph/tree traversal. My first attempt is rendering this by levels from the … Read more

What algorithm to use to determine minimum number of actions required to get the system to “Zero” state?

This actually looks like a job that the double entry accounting concept could help with. Your transactions could be structured as bookkeeping entries thus: Alice Bill Charles Balance Alice -> Bill $10 10 10- 0 0 Bill -> Alice $1 9 9- 0 0 Bill -> Charles $5 9 4- 5- 0 Charles -> Alice … Read more

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