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Write a function find_equivalent_matchings that takes a matching and returns all matchings with the same pattern (including the original one). Using this function, draw all matchings equivalent to {(0, 7), (1, 4), (2, 3), (5, 6)}. You might find it helpful to generate all permutations of a list using itertools.permutation (imported above) as in the following code template. perms-permutations (list_of_items) for p in perms: There is a different way of looking at arc diagrams. Let us fix the start and end points of the arcs. We can then ask ourselves how many arc diagrams there are that have the same pattern of start and end points. For example, if n = 2 and arcs start at 0, 1 and end at 2, 3, we find two arc diagrams which share this pattern. {(1, 2), (0, 3)} 1 nesting, O crossings {(0, 2), (1, 3)} O nestings, 1 crossing

Write a function find_equivalent_matchings that takes a matching and returns all matchings with the same pattern (including the original one). Using this function, draw all matchings equivalent to {(0, 7), (1, 4), (2, 3), (5, 6)}. You might find it helpful to generate all permutations of a list using itertools.permutation (imported above) as in the following code template. perms-permutations (list_of_items) for p in perms: There is a different way of looking at arc diagrams. Let us fix the start and end points of the arcs. We can then ask ourselves how many arc diagrams there are that have the same pattern of start and end points. For example, if n = 2 and arcs start at 0, 1 and end at 2, 3, we find two arc diagrams which share this pattern. {(1, 2), (0, 3)} 1 nesting, O crossings {(0, 2), (1, 3)} O nestings, 1 crossing

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Write a function find_equivalent_matchings that takes a matching and returns all matchings with the same pattern (including the original one). Using this function, draw all matchings equivalent to {(0, 7), (1, 4), (2, 3), (5, 6)}. You might find it helpful to generate all permutations of a list using itertools.permutation (imported above) as in the following code template. perms-permutations (list_of_items) for p in perms:
Transcribed Image Text:Write a function find_equivalent_matchings that takes a matching and returns all matchings with the same pattern (including the original one). Using this function, draw all matchings equivalent to {(0, 7), (1, 4), (2, 3), (5, 6)}. You might find it helpful to generate all permutations of a list using itertools.permutation (imported above) as in the following code template. perms-permutations (list_of_items) for p in perms:
There is a different way of looking at arc diagrams. Let us fix the start and end points of the arcs. We can then ask ourselves how many arc diagrams there are that have the same pattern of start and end points. For example, if n = 2 and arcs start at 0, 1 and end at 2, 3, we find two arc diagrams which share this pattern. {(1, 2), (0, 3)} 1 nesting, O crossings {(0, 2), (1, 3)} O nestings, 1 crossing
Transcribed Image Text:There is a different way of looking at arc diagrams. Let us fix the start and end points of the arcs. We can then ask ourselves how many arc diagrams there are that have the same pattern of start and end points. For example, if n = 2 and arcs start at 0, 1 and end at 2, 3, we find two arc diagrams which share this pattern. {(1, 2), (0, 3)} 1 nesting, O crossings {(0, 2), (1, 3)} O nestings, 1 crossing
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