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Getting Dyck path pictures from Dyck words

asked 2023-04-26 14:00:43 +0100

klaaa gravatar image

updated 2023-04-26 14:50:29 +0100

Max Alekseyev gravatar image

I have a list of Dyck words in sage that correspond to Dyck paths, for example:

L=[[1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 1, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 1, 0, 1, 0, 0], [1, 1, 1, 1, 0, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 0, 0, 0]]

My question is how can I tell sage to print the Dyck paths as a picture for each of those Dyck words in a readable fashion that might help me to find patterns in such a list of Dyck words. Thanks for any help.

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Use %display unicode_art or unicode_art([DyckWord(w) for w in L])

FrédéricC gravatar imageFrédéricC ( 2023-04-26 16:10:49 +0100 )edit

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answered 2023-04-26 14:54:42 +0100

Max Alekseyev gravatar image

Try this:

for p in L:
    print(DyckWord(p).to_path_string())
    print('-'*len(p))
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Thanks. Is there a nicer way to get the output like the output one has for posets in sage which looks like a latex output?

klaaa gravatar imageklaaa ( 2023-04-26 20:07:35 +0100 )edit

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Asked: 2023-04-26 14:00:43 +0100

Seen: 68 times

Last updated: Apr 26 '23