Search results

each vertex once. If strong components are to be represented by appointing a separate root vertex for each component, and assigning to each vertex the...

rooted at a vertex v of a connected, undirected graph G is a spanning tree T of G, such that the path distance from root v to any other vertex u in T is...

particular vertex, or all directed away from a particular vertex (see branching). A rooted tree is a tree in which one vertex has been designated the root. The...

then erasing the subtree of y from the tree. The root vertex must be handled separately: it is a cut vertex if and only if it has at least two children in...

graph theory, a rooted graph is a graph in which one vertex has been distinguished as the root. Both directed and undirected versions of rooted graphs...

algorithm begins with a chosen "root" vertex; it then iteratively transitions from the current vertex to an adjacent, unvisited vertex, until it can no longer...

graphs (also known as flow graphs) are digraphs in which a vertex has been distinguished as the root. Control-flow graphs are rooted digraphs used in computer...

from a given root vertex. Given a connected graph G = (V, E) with V the set of vertices and E the set of edges, and with a root vertex r, the level structure...

In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string...

root 1.  A designated vertex in a graph, particularly in directed trees and rooted graphs. 2.  The inverse operation to a graph power: a kth root of...

a triple edge, with an arrow pointing from the vertex associated to the longer root to the other vertex. (In this case, the arrow is a bit redundant, since...

exist a root vertex r such that the tree is "rooted into r" or "out of r").The columns correspond to another set C of arcs on the same vertex set V. To...

Digital root, the sum of a number's digits Any of the elements of a root system of vectors One designated vertex of a rooted tree in graph theory The root or...

number n that satisfies the following condition: Given any target or 'root' vertex in the graph and any initial configuration of n pebbles on the graph...

one can form a spanning tree by connecting each vertex, other than the root vertex v, to the vertex from which it was discovered. This tree is known...

implemented in some dedicated hardware vertex shaders using field-programmable gate arrays (FPGA). The inverse square root of a floating point number is used...

through the vertex, the vertex's x-coordinate is located at the average of the roots (or intercepts). Thus the x-coordinate of the vertex is x V = x 1...

every vertex except for a special root vertex has exactly one outgoing edge, and in which the path formed by following these edges from any vertex eventually...

distinguished root (one vertex is designated as the root), which determines the direction on the edges (arrows point away from the root; given an edge...

G and a starting vertex root of G Output: Goal state. The parent links trace the shortest path back to root 1 procedure BFS(G, root) is 2 let Q be a queue...