Assume that G has no
parallel edges. We denote by [G.sup.-1] the directed graph obtained from G by reversing the direction of edges: that is,
2.7 Definition [15] A graph without self-loops and
parallel edges is called a simple graph.
Throughout this section, we assume that (X, m) is a multiplicative metric space and G = (V, E) is a directed graph such that V = X, {(x, x): x E V } E and G has no
parallel edges.
We denote by [.sup.[lambda]]G the multigraph obtained from G by replacing each edge of G by [lambda]
parallel edges. A path consisting of 3 edges (x, y), (y, z),and (z, w) is denoted by [P.sub.
We denote by [sup.[lambda]]G the multigraph obtained from G by replacing each edge of G by [lambda]
parallel edges. A path consisting of 3 edges (x, y), (y, z), and (z, w) is denoted by [P.sub.4] and the edge (y, z) is called the central edge of [P.sub.4].
Many observers saw Terby's spot as a bright strip with
parallel edges, while to others it looked elliptical or D-shaped, with the flat side of the D's semicircle defined by the shadow's edge.
For the kth fragment of polyomino chain, the cut of this fragment is the cut which intersects with [l.sub.k] + 1
parallel edges of squares in this fragment.
Sub Step 3.2: Reconstruct the feature by joining the vertex points of
parallel edges omitting the presence of the additional feature.
"It's quite a similar sport to skiing because the
parallel edges you're using are the same.
* n = 4 and P has no pair of
parallel edges [??] I [greater than or equal to] 1.