Search results
Results from the WOW.Com Content Network
These are the steps of the algorithm: Initialize all vertices as unvisited. Select an arbitrary vertex, set it as the current vertex u. Mark u as visited. Find out the shortest edge connecting the current vertex u and an unvisited vertex v. Set v as the current vertex u. Mark v as visited. If all the vertices in the domain are visited, then ...
A graph with 6 vertices and 7 edges where the vertex number 6 on the far-left is a leaf vertex or a pendant vertex. In discrete mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph ...
For each vertex in , we locate the first vertex in reachable by , and the last vertex in that reaches to . That is, we are looking at how early into Q {\displaystyle Q} we can get from v {\displaystyle v} , and how far we can stay in Q {\displaystyle Q} and still get back to v {\displaystyle v} .
In graph theory, an adjacent vertex of a vertex v in a graph is a vertex that is connected to v by an edge.The neighbourhood of a vertex v in a graph G is the subgraph of G induced by all vertices adjacent to v, i.e., the graph composed of the vertices adjacent to v and all edges connecting vertices adjacent to v.
A graph with three vertices and three edges. A graph (sometimes called an undirected graph to distinguish it from a directed graph, or a simple graph to distinguish it from a multigraph) [4] [5] is a pair G = (V, E), where V is a set whose elements are called vertices (singular: vertex), and E is a set of unordered pairs {,} of vertices, whose elements are called edges (sometimes links or lines).
For instance, wheel graphs and connected threshold graphs always have a universal vertex. 3. In the logic of graphs, a vertex that is universally quantified in a formula may be called a universal vertex for that formula. unweighted graph A graph whose vertices and edge s have not been assigned weight s; the opposite of a weighted graph. utility ...
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges of G. L(G) is constructed in the following way: for each edge in G, make a vertex in L(G); for every two edges in G that have a vertex in common, make an edge between their corresponding vertices in L(G).
A vertex with a large degree, also called a heavy node, results in a large diagonal entry in the Laplacian matrix dominating the matrix properties. Normalization is aimed to make the influence of such vertices more equal to that of other vertices, by dividing the entries of the Laplacian matrix by the vertex degrees.