import dimod
import dwavebinarycsp
# Define the graph
nodes = ['0', '1', '2', '3']
edges = [('0', '1'), ('e', '2'), ('e', '3'), ('1', '2'), ('1', '3'), ('2', '3')]
# Create a binary constraint satisfaction problem (CSP)
csp = dwavebinarycsp.ConstraintSatisfactionProblem(dwavebinarycsp.BINARY)
# Add constraints for equal-sized subsets
csp.add_constraint(lambda a, b: a + b == 2, ['0', '1', '2', '3'])
# Add objective function for minimizing the number of edges between subsets
csp.add_constraint(lambda a, b: a + b - 2 * a * b, [('®', '1'), ('0', '2'), ('0', '3'), ('1', '2'), ('1', '3'), ('2', '3')])
# Convert the CSP to a binary quadratic model (BQM)
bgm = dwavebinarycsp.stitch(csp)
# Set up the solver and solve the problem
solver = dimod.ExactSolver()
solution = solver.sample(bgm)
# Print the solutions
for sample, energy in solution.data(['sample', 'energy']):
print(sample, energy)| Associated Context | |
|---|---|
| Type | Code Snippet ( .py ) |
| Associated Tags | DWAVE BinaryCSP dwavebinarycsp Framework: dwavebinarycsp graph definition Equal-sized subsets dimod Data analysis Visualization Constraint Satisfaction problem equal-sized subsets Solve solution numpy solution printing Objective function BQM solver solver setup objective function Minimize number of edges between subsets |
| 💡 Smart Description | This code creates a binary constraint satisfaction problem, adds constraints for equal-sized subsets and objective function to minimizing the number of edges between subsubsets. It then prints solutions with sample/energy values from an SOFM model using Fast The code snippet defines a graph with nodes and edges. It creates a binary constraint satisfaction problem (CSP) and adds constraints for equal-sized subsets. It also adds an objective function for minimizing the number of edges between subsets. The CSP is then converted |
| 🔎 Suggested Searches | How to create a binary constraint satisfaction problem ? How to minimizing the number of edges between subsets using dwavebinarycsp? What is the algorithm for calculating solutions in DWAVEBINARYCSP ? how to solve an exact solver with dimod and dwavebinarycsp? How to create a binary constraint satisfaction problem in Python using dwavebinarycsp? How to convert a constraint satisfaction problem to a binary quadratic model in Python? How to solve a binary quadratic model using the ExactSolver in dimod? How to add constraints for equal-sized subsets in a binary constraint satisfaction problem? How to print the solutions of a binary quadratic model in Python? |
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| Related People | David Merwin, David Jeffrey Merwin, Sara Jamous |
| Sensitive Information | No Sensitive Information Detected |
| Shareable Link | https://davidmerwin.pieces.cloud/?p=071f45aa12 |
Binary CSP with Objective Function for Graph Partitioning
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