Let " G " be a locally finite directed acyclic degree, and that " G " contains no directed cycles.
22.
Then the Cayley graph of F with respect to S is a locally finite Tree ( graph theory ) and hence a 0-hyperbolic space.
23.
It is ( in opposition to the curve or pants complex ) a locally finite complex which is quasi-isometric to the mapping class group.
24.
Thus, for connected and locally finite graphs, the topological ends are in one-to-one correspondence with the graph-theoretic ends.
25.
Incidence algebras of locally finite posets were treated in a number of papers of Gian-Carlo Rota beginning in 1964, and by many later combinatorialists.
26.
He also proposed ( 2008 ) a more general axiomatic theory of locally finite topological spaces and abstract cell complexes formerly suggested by Steinitz ( 1908 ).
27.
The case for pointwise dimensional persistence modules indexed by a locally finite subset of \ mathbb { R } is solved based on the work of Webb.
28.
While this need not be true in general, a result of Philip Hall and others is that every infinite locally finite group contains an infinite abelian group.
29.
In mathematics, in the realm of topology, a "'paranormal space "'is a topological space in which every locally finite open expansion.
30.
This measure is inner regular and locally finite, but is not outer regular as any open set containing the " y "-axis has measure infinity.
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