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2 results for H-cyclic subcontraction

Directed graphs can be intrinsically knotted and 4-linked.

problem Intrinsic linking and knotting in directed graphs.
method Construction of examples and operations (consistent edge contraction, H-cyclic subcontraction).
result Directed graphs can have consistently oriented knotted cycles and intrinsically 3- and 4-linked structures.

Given a real-valued function cc defined on the cartesian product of a generic Carnot group $\G$ and the first layer V1V_1 of its Lie algebra, we introduce a notion of cc horizontal convex (cc H-convex) function on $\G$ as the supremum of a suitable family of affine functions; this family is defined pointwisely, and …

2010-05-06abs ↗pdf ↗