Squaring the adjacency matrix of T should yield an adjacency matrix for a graph which is isomorphic to the graph G which we started with.
42.
The adjacency matrix of the union of disjoint direct sum of two vector spaces of matrices can be represented as a direct sum of two matrices.
43.
Conversely, a graph which is not a complete or null graph whose adjacency matrix satisfies both of the above conditions is a strongly regular graph.
44.
The Biggs & ndash; Smith graph is also uniquely determined by the its graph spectrum, the set of graph eigenvalues of its adjacency matrix.
45.
The " description format " of a structure ( such as adjacency list versus adjacency matrix for graphs ) is irrelevant, because species are purely algebraic.
46.
In an adjacency matrix, this operation takes time proportional to the number of vertices in the graph, which may be significantly higher than the degree.
47.
In mathematics, the "'hafnian "'of an adjacency matrix of a graph is the number of perfect matchings in the graph.
48.
The heart of such measures is the observation that powers of the graph's adjacency matrix gives the number of walks of length given by that power.
49.
Another approach is to find the trace of " A " 3, where " A " is the adjacency matrix of the graph.
50.
The adjacency matrix should be distinguished from the incidence matrix for a graph, a different matrix representation whose elements indicate whether vertex edge pairs are incident or not.
