Timeline for Is every positive integer the permanent of some 0-1 matrix?
Current License: CC BY-SA 3.0
6 events
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Aug 29, 2017 at 17:50 | history | edited | Peter Heinig | CC BY-SA 3.0 |
Corrected incorred cyclic shifting in the examples I gave. Adde a warning that this is a wasteful construction.
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Aug 29, 2017 at 17:49 | comment | added | Ben Barber | The graph picture for anyone who doesn't want to work out the details: this is a Hamilton cycle of length $2k$ together with a star whose leaves are all the elements of one colour class and whose centre is in the other. Any choice of matching edge for the centre of the star is a chord that splits the cycle into two paths, each of which has a unique perfect matching, giving the $k$ options. | |
Aug 29, 2017 at 17:49 | vote | accept | Timothy Chow | ||
Aug 29, 2017 at 17:44 | history | edited | Peter Heinig | CC BY-SA 3.0 |
Corrected incorred cyclic shifting in the examples I gave.
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Aug 29, 2017 at 17:44 | comment | added | Timothy Chow | Nice construction! Shortly after posting my question, I discovered the following paper by Kim, Lee, and Seol that also answers the question: ijpam.eu/contents/2005-19-3/12/12.pdf | |
Aug 29, 2017 at 17:36 | history | answered | Peter Heinig | CC BY-SA 3.0 |