2 Sentences With "multidigraph"

How to use multidigraph in a sentence? Find typical usage patterns (collocations)/phrases/context for "multidigraph" and check conjugation/comparative form for "multidigraph". Mastering all the usages of "multidigraph" from sentence examples published by news publications.

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In mathematics, a quiver is a directed graph where loops and multiple arrows between two vertices are allowed, i.e. a multidigraph. They are commonly used in representation theory: a representation V of a quiver assigns a vector space V(x) to each vertex x of the quiver and a linear map V(a) to each arrow a. In category theory, a quiver can be understood to be the underlying structure of a category, but without composition or a designation of identity morphisms.
Oriented graph with corresponding incidence matrix An arrow is considered to be directed from x to y; y is called the head and x is called the tail of the arrow; y is said to be a direct successor of x and x is said to be a direct predecessor of y. If a path leads from x to y, then y is said to be a successor of x and reachable from x, and x is said to be a predecessor of y. The arrow is called the inverted arrow of . The adjacency matrix of a multidigraph with loops is the integer-valued matrix with rows and columns corresponding to the vertices, where a nondiagonal entry aij is the number of arrows from vertex i to vertex j, and the diagonal entry aii is the number of loops at vertex i.