The specific case where each edge is assigned a unique color (that is, each link belongs to only one SRLG) is strictly equivalent to the Labeled Graph model considered by Chang and Leu (1997); Wan et al.

The complexity of bottleneck labeled graph problems.

Segev, The complexity of bottleneck

labeled graph problems, In Proc.

Definition 1 (Labeled Graph) A labeled graph G is a 4-tuple (V, E, 1, B), where V is the vertex set, E [?

Graph canonical code is using to translate a labeled graph into sequence by 1-1 mapping.

Definition 2 (Subgraph Isomorphism) A

labeled graph G is subgraph isomorphic to a

labeled graph G', iff there exists a injective function f: V(G) [right arrow] (G2 ), such that (1) [for all]u [member of] [for all]V, (l(u) = l' (f(u))) and (2) [for all] (u, v) [member of][for all]E, l(u,v)[member of]G' and l(u, v) = l'(f(u), f(v)), where l and l' are the label function of G and G' respectively.

When they formulated questions, wrote reports and letters, and

labeled graphs, my students gained experience in clarifying and verbalizing their ideas and expressing them effectively in writing; they also got practice in spelling, punctuation, and handwriting.

Throughout this paper rewritings of directed, relational, and

labeled graphs ar discussed.

n,k] be the set of labeled graphs defined from the set M.

Remind that two labeled graphs G = (V, E) and G' = (V, E') (defined on the same set of nodes V) are isomorphic if it exists a permutation g : V [right arrow] V of the labels of the nodes such that (u, v) is an edge of G iff the edge (g(u), g(v)) belongs to G'.

The asymptotic number of

labeled graphs with given degree sequences.