The integral cycle space of a graph is equal to the null space of its oriented incidence matrix, viewed as a matrix over the integers or field.
12.
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.
13.
The " oriented incidence matrix " of an undirected graph is the incidence matrix, in the sense of directed graphs, of any orientation of the graph.
14.
The " oriented incidence matrix " of an undirected graph is the incidence matrix, in the sense of directed graphs, of any orientation of the graph.
15.
The oriented incidence matrix is unique up to negation of any of the columns, since negating the entries of a column corresponds to reversing the orientation of an edge.
16.
If an incidence structure has an incidence matrix, then the dual structure has the transpose matrix T as its incidence matrix ( and is defined by that matrix ).
17.
If an incidence structure has an incidence matrix, then the dual structure has the transpose matrix T as its incidence matrix ( and is defined by that matrix ).
18.
*PM : incidence matrix with respect to an orientation, id = 9382 new !-- WP guess : incidence matrix with respect to an orientation-- Status:
19.
*PM : incidence matrix with respect to an orientation, id = 9382 new !-- WP guess : incidence matrix with respect to an orientation-- Status:
20.
This construction is reversible, and the incidence matrix of a symmetric 2-design with these parameters can be used to form an Hadamard matrix of size 4 " a ".
