More formally, a separated graph is a pair ( E, C ), where E is a graph, C = ⊔ v ∈ E 0 C v, and, for each v ∈ E 0, C v is a partition of s - 1 ( v ) (into pairwise disjoint nonempty subsets).
A separated graph is a pair (E,C) consisting of a directed graph E and a set C="⨆v∈E0Cv, where each Cv is a partition of the set of edges whose terminal vertex is v.
In particular, L K ( m, n ) is Morita equivalent to the Leavitt path algebra of a separated graph.
Given a separated graph (E,C), such that all the sets X∈C are finite, the K-theory of the graph C⁎-algebra C⁎(E,C) is known to be determined by the kernel and the cokernel of a certain map, denoted by 1C−A(E,C), from Z(C) to Z(E0).
"Behind every remittance, there's a separated family," said Elizabeth Gibbons, a senior official at Unicef.
Theorem 4 Let X be p-complete and separated, and f : X → X be a graph orbitally p-continuous ( p, φ ) - G ˜ -contraction.
The fluorescence changes in GCaMP7a (ΔF/F0) of individual ECs from A are shown as separated graphs (Region 1 3) as in Figure 3B.
Let be an arbitrary graph.
