Minimal partitions for critical Heegaard splittings
2020 ◽
Vol 29
(04)
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pp. 2050023
In this paper, we define the minimality of a partition for a critical Heegaard surface. The standard minimal genus Heegaard surface of [Formula: see text], which is known to be critical, admits a minimal partition. Moreover, we give an example of a critical surface that admits both a minimal partition and a non-minimal partition.
2019 ◽
Vol 28
(09)
◽
pp. 1950059
2013 ◽
Vol 22
(05)
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pp. 1350018
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Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings
2009 ◽
Vol 17
(4)
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pp. 637-649
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2004 ◽
Vol 13
(06)
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pp. 829-843
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2013 ◽
Vol 2013
(679)
◽
pp. 155-179
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Keyword(s):
2021 ◽
Vol 1021
◽
pp. 012035
Keyword(s):
2007 ◽
Vol 33
(2)
◽
pp. 109-116
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Keyword(s):