in , Choi constructs a bijection between the set of Davis-Januszkiewicz equivalence classes of small covers over an n-cube and the set of acyclic digraphs
with n-labeled nodes.
Example 7 Consider the SVN digraph
[mathematical expression not reproducible] in Figure 1 with vertex set [mathematical expression not reproducible] and arc set [mathematical expression not reproducible] with one loop at each vertex as follows:
In this SP we can easily identify an erasure of overlap, indicating the competition between the grapheme 'c' and the grapheme 's' for the orthographic representation of the digraph
(G, A) be strongly connected, in which A = [([[delta].sub.kh]).sub.lxl].
(ii) The digraph
G = (V, E) is said to be transitive if whenever (x, y) [member of] E and (y, z) [member of] E, (x, z) [member of] E.
Jia, "Interval bipartite consensus of networked agents associated with signed digraphs
," Institute of Electrical and Electronics Engineers Transactions on Automatic Control, vol.
where each [G.sub.i] is a digraph
. We need this fact and the following lemmas.
In Section 4, the existence of a common N-tupled fixed point of operators satisfying ([phi], [psi])-contractive conditions in metric spaces endowed with a digraph
By induction, there exists digraph
isomorphism [[phi].sub.i] : T([a.sub.i]) [right arrow] T([b.sub.i]).
The adjancency matrixA(D) of a digraph
D is the p x p matrix [[a.sub.ij]] with [a.sub.ij] = 1 if [v.sub.i][v.sub.j] is an arc of D, and 0 otherwise (Fig.
Based on the two sets, we can construct strong/weak dominant digraph
. The procedure by which we sequence the alternatives by using the two digraphs
seems like that stated in Step 2 of the ELECTRE-II method.
If the digraph
G has a spanning tree, then its Laplacian matrix L has a simple zero eigenvalue and all other eigenvalues have positive real parts.