# labeled graph

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## labeled graph

[′lā·bəld ‚graf]
(mathematics)
A graph whose vertices are distinguished by names.
References in periodicals archive ?
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.
Segev, The complexity of bottleneck labeled graph problems, In Proc.
By taking the edge labels of a sequentially labeled graph with q edges modulo q, we obviously obtain a harmoniously labeled graph.
A labeled graph can be represented as a quadruple g = <V, E, [l.sub.v], [l.sub.E]>, where V is a set of vertices, and E [subset or equal to] V x V is a set of edges.
Definition 1 (Labeled Graph) A labeled graph G is a 4-tuple (V, E, 1, B), where V is the vertex set, E [??] V x V is the edge set, and I is the label function that maps a vertex in V or an edge in E to a label in the label set 8, i.e.
Definition 1 (Labeled Graph) A labeled graph G is a five element tuple G = {V, E, [[summation].sub.V], [[summation].sub.E], L} where V is a set of vertices and E [subset not equal to] V x V is a set of undirected edges.
The transformation concept that is used for reconfigurable Petri nets is double-pushout approach on directed, labeled graphs. This approach has been lifted to a categorical framework using a morphism class M, with various instantiations, called M-adhesive high-level replacement (HLR) systems (see [14]).
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.
Let [G.sub.n,k] be the set of labeled graphs defined from the set M.
The asymptotic number of labeled graphs with given degree sequences.
Let l [member of] [2, [l.sub.0]] and let S [subset] [C.sub.n,m] denote the set of labeled graphs in [C.sub.n,m] whose number of blocks of size t is not in the interval (1 [+ or -] [epsilon]) [b.sub.l]n.
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