mathematics, an incidence matrix is a logical matrix that shows the relationship between two classes of objects, usually called an incidence relation. If...

theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix, or discrete Laplacian, is a matrix representation of a...

the incidence table: If an incidence structure C has an incidence matrix M, then the dual structure C∗ has the transpose matrix MT as its incidence matrix...

adjacency matrix is studied in spectral graph theory. The adjacency matrix of a graph should be distinguished from its incidence matrix, a different matrix representation...

incidence matrix of a bipartite graph, which is the coefficient matrix for bipartite matching, is totally unimodular (TU). (The unoriented incidence matrix...

matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1)-matrix is a matrix with entries from the Boolean domain B = {0, 1}. Such a matrix can...

matrix}1&\mathrm {if} ~v_{i}\in e_{j}\\0&\mathrm {otherwise} .\end{matrix}}\right.} The transpose I t {\displaystyle I^{t}} of the incidence matrix defines...

other entries in column k are 0 (see oriented incidence matrix for understanding this modified incidence matrix E). For the preceding example (with n = 4...

exact cover problem is equivalent to an exact hitting set problem, an incidence matrix, or a bipartite graph. In computer science, the exact cover problem...

pairs Incidence list, a concept in graph theory Incidence matrix, a matrix that shows the relationship between two classes of objects Incidence structure...

columns. Another matrix representation for a directed graph is its incidence matrix. See direction for more definitions. For a vertex, the number of head...

number of element occurrences. Every binary matrix with constant row and column sums is the incidence matrix of a regular uniform block design. Also, each...

Hopcroft's problem of finding point–line incidences Incidence matrix Incidence algebra Incidence structure Incidence geometry Levi graph Hilbert's axioms...

problem solving matrix (PSM), incidence matrix, N2 matrix, interaction matrix, dependency map or design precedence matrix) is a simple, compact and visual...

S. Thus the corresponding incidence matrix of this abstract polytope may be shown as: In this accumulated incidence matrix representation the diagonal...

one edge can be stored between each pair of vertices. Incidence matrix A two-dimensional matrix, in which the rows represent the vertices and columns...

j}\qquad \forall (i,j)/e_{ij}=1} The matrix E {\displaystyle E} is called the incidence matrix. For example, the incidence matrices for the interpolation problems...

oriented incidence matrix associated with the graph. Analogously, the nullity of the graph is the nullity of its oriented incidence matrix, given by...

Equivalent to the definition, a 0-1 matrix is balanced if and only if it does not contain a submatrix that is the incidence matrix of any odd cycle (a cycle graph...

multiplication as defined for E ( G ) {\displaystyle {\mathcal {E}}(G)} . The incidence matrix H {\displaystyle H} for a graph G {\displaystyle G} defines one possible...

to an affine translation plane. Given the "line/point" incidence matrix of any finite incidence structure, M, and any field, F the row space of M over...

the incidence matrix of a symmetric 2 − (4a − 1, 2a − 1, a − 1) design called an Hadamard 2-design. This construction is reversible, and the incidence matrix...

proof. Incidence matrix: The n × b {\displaystyle n\times b} matrix A a {\displaystyle \mathbf {A_{a}} } is called node-to-branch incidence matrix for the...

× v incidence matrix R with elements 0 and 1 satisfying R RT = (k − λ)I + λJ where I is the v × v identity matrix and J is the v × v all-1 matrix. In...

incidence of a graph can be captured in matrix format with a matrix called an incidence matrix. In fact, the incidence matrix is an alternative mathematical representation...

each vertex in a graph. Edmonds matrix — a square matrix of a bipartite graph. Incidence matrix — a matrix representing a relationship between two classes...

systematically described with an incidence matrix. A configuration for a regular polytope is represented by a matrix where the diagonal element, Ni, is...

has a list of which vertices it is adjacent to. Matrix structures include the incidence matrix, a matrix of 0's and 1's whose rows represent vertices and...

degree. incidence An incidence in a graph is a vertex-edge pair such that the vertex is an endpoint of the edge. incidence matrix The incidence matrix of a...

called "minimum cover" problem). This is equivalent, by transposing the incidence matrix, to the hitting set problem.: SP5, SP8  Set packing: SP3  Set splitting...