product of graphs

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• Cartesian product of 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 * any two vertices (u,u ) and (v,v ) are adjacent in G ◻ H if and only if either ** u = v and …   Wikipedia

• Tensor product of graphs — In graph theory, the tensor 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 * any two vertices (u,u ) and (v,v ) are adjacent in G × H if and only if u is adjacent with v… …   Wikipedia

• Modular product of graphs — The modular product of graphs. In graph theory, the modular product of graphs G and H is a graph such that the vertex set of the modular product of G and H is the cartesian product V(G) ×  V(H); and any two vertices (u, v) and (u… …   Wikipedia

• Lexicographic product of graphs — In graph theory, the lexicographic product or graph composition G ∙ H of graphs G and H is a graph such that * the vertex set of G ∙ H is the cartesian product V(G) imes V(H) ; and * any two vertices (u,u ) and (v,v ) are adjacent in G ∙ H if and …   Wikipedia

• Rooted product of graphs — In mathematical graph theory, the rooted product of a graph G and a rooted graph H is defined as follows: take | V ( G )| copies of H , and for every vertex v i of G , identify v i with the root node of the i th copy of H .More formally, assuming …   Wikipedia

• product breakdown structure — UK US noun [C] (ABBREVIATION PBS) GRAPHS & CHARTS ► a graph used in planning a project to show how the different parts of it relate to each other …   Financial and business terms

• Graph product — A graph product is a binary operation on graphs. There are several similarly defined operations on graphs, called product . Given two graphs G1 and G2 , their product H is a graph such that * the vertex set of H is the Cartesian product V(G 1)… …   Wikipedia

• Cartesian product — Cartesian square redirects here. For Cartesian squares in category theory, see Cartesian square (category theory). In mathematics, a Cartesian product (or product set) is a construction to build a new set out of a number of given sets. Each… …   Wikipedia

• Direct product — In mathematics, one can often define a direct product of objects already known, giving a new one. This is generally the Cartesian product of the underlying sets, together with a suitably defined structure on the product set. More abstractly, one… …   Wikipedia

• Tensor product — In mathematics, the tensor product, denoted by otimes, may be applied in different contexts to vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, and modules. In each case the significance of the symbol is the same:… …   Wikipedia

• Lexicographic product — In mathematics, a lexicographical or lexicographic product may be formed of * graphs ndash; see lexicographic product of graphs. * orders ndash; see lexicographical order …   Wikipedia