Sentence examples for distinguished vertex from inspiring English sources

Let G be an undirected 2-edge connected graph with nonnegative edge weights and a distinguished vertex z.

The unit space ofGis the space of one sided infinite paths inG, andG is the reduction ofGto the space of paths emanating from a distinguished vertex ★.

By a tree, T we mean an infinite, locally finite, connected graph with a distinguished vertex o called the root and without loops or cycles.

We present a general framework for the study of KMS states of generalized gauge actions on the C⁎-algebra of a Cayley graph which is pointed by considering the neutral element of the group as a distinguished vertex.

A phylogenetic tree T = (T, φ ) is rooted if the underlying tree T is rooted; this means that T has exactly one distinguished vertex r t(T), called the root.

A rooted phylogenetic tree (or just rooted tree) is a tree whose leaves are in one to one correspondence with a label set L T), has a distinguished vertex called the root, and no vertex other than the root has degree two.

Let R v be the rooted tree derived from S v by distinguishing vertex v as the root.

Let R v, i be the (rooted) tree obtained from the minimal subtree of R v connecting the labels in L i by distinguishing the vertex closest to v as the root and suppressing every other vertex that has degree two.

For a tree T, and a label set L⊆ L(T), let T ′ be the minimal subtree of T connecting all the leaves with labels in L. The restriction of T to L, denoted by T| L, is the rooted tree obtained from T ′ by distinguishing the vertex closest to the root of T as the root of T ′, and suppressing every vertex other than the root having degree two.

We can distinguish a class vertex and an entity vertex according to RDF's syntax.

Mandel et al. emphasised the vertex normal is not an intrinsic corneal reference landmark and is distinguished from the apex (region of greatest curvature) and the corneal sighting center (interception of the anterior cornea by the LOS) [ 1].