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The half-square of a bipartite graph G is the subgraph of G 2 induced by one side of the bipartition of G. Map graphs are the half-squares of planar graphs, [18] and halved cube graphs are the half-squares of hypercube graphs. [19] Leaf powers are the subgraphs of powers of trees induced by the leaves of the tree.
G*Power is a free-to use software used to calculate statistical power. The program offers the ability to calculate power for a wide variety of statistical tests including t-tests , F-tests , and chi-square-tests , among others.
The main difference between modular decomposition and power graph analysis is the emphasis of power graph analysis in decomposing graphs not only using modules of nodes but also modules of edges (cliques, bicliques). Indeed, power graph analysis can be seen as a loss-less simultaneous clustering of both nodes and edges.
Google Charts is an online tool that is used to create charts and graphs. It uses HTML5 and SVG to function on multiple browsers and devices without extra plugins or software. It uses HTML5 and SVG to function on multiple browsers and devices without extra plugins or software.
A polytree is an oriented tree; equivalently, a directed acyclic graph whose underlying undirected graph is a tree. power 1. A graph power G k of a graph G is another graph on the same vertex set; two vertices are adjacent in G k when they are at distance at most k in G.
A Cartesian product of two graphs. In graph theory, the Cartesian product G H of graphs G and H is a graph such that: the vertex set of G H is the Cartesian product V(G) × V(H); and; two vertices (u,v) and (u' ,v' ) are adjacent in G H if and only if either u = u' and v is adjacent to v' in H, or; v = v' and u is adjacent to u' in G.
That is, G is an induced subgraph of the graph power , induced by the leaves of T. For a graph G constructed in this way, T is called a k-leaf root of G. A graph is a leaf power if it is a k-leaf power for some k. [1] These graphs have applications in phylogeny, the problem of reconstructing evolutionary trees.
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).