mathematical and algorithmic study of graph theory, the converse, transpose or reverse of a directed graph G is another directed graph on the same set of vertices...

graph that is its own transitive closure; it exists only for comparability graphs. transpose The transpose graph of a given directed graph is a graph...

graph from an initial one by a complex change, such as: transpose graph; complement graph; line graph; graph minor; graph rewriting; power of graph;...

transpose graph (the same graph with the direction of every edge reversed) has exactly the same strongly connected components as the original graph....

Network theory Orientation Preorder Topological sorting Transpose graph Vertical constraint graph Zero-weight cycle problem Bang-Jensen & Gutin (2000)....

explores them if not. The second depth-first search is on the transpose graph of the original graph, and each recursive exploration finds a single new strongly...

Graph neural networks (GNN) are specialized artificial neural networks that are designed for tasks whose inputs are graphs. One prominent example is molecular...

adjacency matrix A {\displaystyle A} of the original directed graph and its matrix transpose A T {\displaystyle A^{T}} , where the zero and one entries of...

In graph theory, a branch of mathematics, a skew-symmetric graph is a directed graph that is isomorphic to its own transpose graph, the graph formed by...

order is self-dual). Converse relation List of Boolean algebra topics Transpose graph Duality in category theory, of which duality in order theory is a special...

(order theory) – Term in the mathematical area of order theory Transpose graph – Directed graph with reversed edges Ernst Schröder, (1895), Algebra der Logik...

mathematical discipline of graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each...

mixed graphs. In this section, the conjugate transpose of matrix A {\displaystyle A} is denoted as A H , {\displaystyle A^{\mathsf {H}},} the transpose of...

In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, is a graph that encodes the abstract...

hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two...

degree Conjugate transpose, the complex conjugate of the transpose of a matrix Harmonic conjugate in complex analysis Conjugate (graph theory), an alternative...

common graph representation in graph theory. It is different to an adjacency matrix, which encodes the relation of vertex-vertex pairs. In graph theory...

words, the Coates graph for matrix A is the one whose adjacency matrix is the transpose of A. Flow graph (mathematics) Mason graph Thulasiraman, K.; Swamy...

maximum-weight closure of a given graph G is the same as the complement of the minimum-weight closure on the transpose graph of G, so the two problems are...

stabilizer for a graph of 31671 (= 34⋅17⋅23) vertices, and treating these vertices as the 3-transpositions in a group Fi23. The 3-transpositions come in basic...

automatically using graph drawing techniques. In some sources, the phrase "Hasse diagram" has a different meaning: the directed acyclic graph obtained from...

physics Antisymmetric relation in mathematics Skew-symmetric graph Self-complementary graph In mathematics, especially linear algebra, and in theoretical...

matrices, the Hermitian adjoint is given by the conjugate transpose (also known as the Hermitian transpose). The above definition of an adjoint operator extends...

multiple of the identity matrix when multiplied by their transpose. The eigenvalues of Paley graphs are 1 2 ( q − 1 ) {\displaystyle {\tfrac {1}{2}}(q-1)}...

Early graphism then was a form of writing that constitutes a 'symbolic transposition, not copying of reality'. The earliest traces of graphism date back...

because L = M MT (M times its own transpose). Rank (graph theory) Bo Cheng and Bolian Liu (2007), On the nullity of graphs. Electronic Journal of Linear Algebra...

Modes of limited transposition are musical modes or scales that fulfill specific criteria relating to their symmetry and the repetition of their interval...

corresponding to that node in the transposition table is used. Use of a transposition table can lead to incorrect results if the graph-history interaction problem...

A bond graph is a graphical representation of a physical dynamic system. It allows the conversion of the system into a state-space representation. It...

comparability graph is itself a comparability graph, formed from the restriction of the partial order to a subset of its elements. An undirected graph is perfect...