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Что (кто) такое nullity graph - определение
THEOREM
Rank theorem; Rank nullity theorem; Rank-nullity theorem; Rank-nullity; Rank nullity
Null graph
GRAPH WITHOUT EDGES (ON ANY NUMBER OF VERTICES)
Empty tree; Empty graph; Null Graph; Null tree; Singleton graph; Edgeless graph; Order-zero graph
In the mathematical field of graph theory, the term "null graph" may refer either to the order-zero graph, or alternatively, to any edgeless graph (the latter is sometimes called an "empty graph").
Nullity (graph theory)
NULLITY OF THE ORIENTED INCIDENCE MATRIX OF A GRAPH
The nullity of a graph in the mathematical subject of graph theory can mean either of two unrelated numbers. If the graph has n vertices and m edges, then:
Turán graph
![The [[octahedron]], a 3-[[cross polytope]] whose edges and vertices form ''K''<sub>2,2,2</sub>, a Turán graph ''T''(6,3). Unconnected vertices are given the same color in this face-centered projection.](https://commons.wikimedia.org/wiki/Special:FilePath/Complex tripartite graph octahedron.svg?width=200 "The [[octahedron]], a 3-[[cross polytope]] whose edges and vertices form ''K''<sub>2,2,2</sub>, a Turán graph ''T''(6,3). Unconnected vertices are given the same color in this face-centered projection.")
GRAPH
Turan graph; Cocktail party graph; Octahedral Graph; Octahedral graph
The Turán graph, denoted by T(n,r), is a complete multipartite graph; it is formed by partitioning a set of n vertices into r subsets, with sizes as equal as possible, and then connecting two vertices by an edge if and only if they belong to different subsets. Where q and s are the quotient and remainder of dividing n by r (so n = qr + s), the graph is of the form K_{q+1, q+1, \ldots, q, q}, and the number of edges is
Википедия
Rank–nullity theorem
The rank–nullity theorem is a theorem in linear algebra, which asserts
- of a matrix M that its rank + its nullity = the number of columns, and
- of a linear transformation that the dimension of the domain is the sum of the transformation's rank (the dimension of its image) and its nullity (the dimension of its kernel).
