Transforming Toric Digraphs

Transforming Toric Digraphs,10.1007/978-3-540-25959-6_24,Robert E. Jamison

Transforming Toric Digraphs  
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A digraph embedded on a torus can be flattened out into the plane to form a 2-dimensional partially ordered set (poset) by cutting a pair of orthogonal fundamental cycles. The family of 2-dimensional posets arising from a single toric digraph is called the web of the digraph. In 1994 Halitsky noted that tree families important in linguistics had additional symmetry if embedded on a torus and then transformed into another member of the web. Halitsky has attempted to use this “hidden symmetry” idea to predict tertiary structure of proteins from their primary structure.
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