Constraint satisfaction problem and Exact cover

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Difference between Constraint satisfaction problem and Exact cover

Constraint satisfaction problem vs. Exact cover

Constraint satisfaction problems (CSPs) are mathematical questions defined as a set of objects whose state must satisfy a number of constraints or limitations. In mathematics, given a collection \mathcal of subsets of a set X, an exact cover is a subcollection \mathcal^* of \mathcal such that each element in X is contained in exactly one subset in \mathcal^*.

Similarities between Constraint satisfaction problem and Exact cover

Constraint satisfaction problem and Exact cover have 8 things in common (in Unionpedia): Backtracking, Binary relation, Decision problem, Eight queens puzzle, Hypergraph, NP-completeness, Sudoku, Sudoku solving algorithms.

Backtracking

Backtracking is a general algorithm for finding all (or some) solutions to some computational problems, notably constraint satisfaction problems, that incrementally builds candidates to the solutions, and abandons a candidate ("backtracks") as soon as it determines that the candidate cannot possibly be completed to a valid solution.

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Binary relation

In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.

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Decision problem

In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.

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Eight queens puzzle

The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other.

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Hypergraph

In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices.

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NP-completeness

In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.

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Sudoku

(originally called Number Place) is a logic-based, combinatorial number-placement puzzle.

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Sudoku solving algorithms

A standard Sudoku contains 81 cells, in a 9×9 grid, and has 9 boxes, each box being the intersection of the first, middle, or last 3 rows, and the first, middle, or last 3 columns.

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The list above answers the following questions

What Constraint satisfaction problem and Exact cover have in common
What are the similarities between Constraint satisfaction problem and Exact cover

Constraint satisfaction problem and Exact cover Comparison

Constraint satisfaction problem has 70 relations, while Exact cover has 42. As they have in common 8, the Jaccard index is 7.14% = 8 / (70 + 42).

References

This article shows the relationship between Constraint satisfaction problem and Exact cover. To access each article from which the information was extracted, please visit:

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