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Homotopic deformations in n-ary digital images
In a digital image, when performing processes such as registration, deformation or thinning, the preservation of the topological properties of the objects contained in... -
Simplicial simple-homotopy of flag complexes in terms of graphs
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Simultaneous Dominance Representation of Multiple Posets
We characterize he {\em codominance pairs} pairs of posets that admit simultaneous dominance representations in the $(x,y)$- and $(-x,y)$-coordinate systems and... -
{-1,2}-hypomorphy and hereditarily hypomorphy are the same for posets
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The poset of posets
Let X be a finite set. This paper describes some topological and combinatorial properties of the poset \Omega_X of order relations on X. In particular, the homotopy... -
The extended permutohedron on a transitive binary relation
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The Dyck pattern poset
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