Sentence examples for be a restricted triangulation from inspiring English sources

Let H be a restricted triangulation of LG (P ) and let (T, B) be a clique tree of H. Let e={ u, v} be any vertex in LG (P ).

Thus, e and e′ are not both from LG(T) for any input tree T. Hence, every fill-in edge in LG (P ) F is valid, and LG (P ) F is a restricted triangulation.

Since { e, e′} is not a valid edge, H is not a restricted triangulation, a contradiction.

A profile of unrooted phylogenetic trees is compatible if and only if LG (P ) has a restricted triangulation.

From Theorem 4, there exists a restricted triangulation H of LG (P ).

Let (Im_{h}) be a regular triangulation of Θ̄.

Let T be a regular triangulation of Γ.

The actual data structure here is a Delaunay Triangulation.

Thus H is a minimal triangulation of G ′ (M).

Therefore H is a proper triangulation of G(M).

Thus H ′ is a proper triangulation of G ′ (M), and because H is a proper minimal triangulation of G ′ (M) it must be that H ′  =  H.