Sentence examples for be a vertex map from inspiring English sources

Theorem 3. Let f be a vertex map on G. Then for any positive integer n.

Let f be a vertex map on G. Suppose that is a path in OMG(f).

Lemma 2. Let f be a vertex map on G. Suppose that is a loop in OMG(f).

Let f be a vertex map on G that is homotopic to the identity and such that the vertices form one periodic orbit.

Let f be a vertex map on G. Suppose that f is homotopic to the identity map on G. Then Trace(M f)) = e - U f, G).

(The change of basis in Section 7 2 comes from Hopf's proof of the Lefschetz Fixed Point Theorem given in [10].) Theorem 4. Let f be a vertex map on G.

Note that f' is a vertex map on T with vertex permutation given by θ.

If f is a vertex map on a tree that does not fix any vertices, then f flips an edge.

This means that the periodic point x can be chosen to lie in the interior and so it definitely is not a vertex of G. Suppose that f is a vertex map on G. Then we define the Oriented Markov Matrix of f, denoted M f), to be the e × e matrix with M f) i,j equal to the number of positive directed edges from E j to E i minus the number of the negative edges from E j to E i.

Then f (g ) cannot be a vertex s > d, as then, by definition of mapping, one of the children of g must map in a descendent subtree of s not containing d.

Let be a vertex of the tree.