A Census of Slicings
1962 ◽
Vol 14
◽
pp. 708-722
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Keyword(s):
A band is a closed connected set in the 2-sphere, bounded by one or more disjoint simple closed curves.Consider a band B with bounding curves J1, J2, … , Jk. On each curve Ji let there be chosen mi ≥ 0 points to be called vertices, with the restriction that the sum of the k integers mi is to be even. Write(1)Next consider a set of n disjoint open arcs in the interior of B which join the 2n vertices in pairs and partition the remainder of the interior of B into simply connected domains. We call the resulting dissection of B a slicing with respect to the given set of vertices. The arcs are the internal edges of the slicing and the simply connected domains are its internal faces, or slices.
1905 ◽
Vol 40
(3)
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pp. 615-629
Keyword(s):
1994 ◽
Vol 36
(1)
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pp. 77-80
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2010 ◽
Vol 348
(9-10)
◽
pp. 521-524
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2000 ◽
Vol 43
(3)
◽
pp. 511-528
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Keyword(s):
2005 ◽
Vol 139
(1)
◽
pp. 149-159
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2006 ◽
Vol 08
(03)
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pp. 381-399