# multiple edges

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## multiple edges

[‚məl·tə·pəl ′ej·əs]
(mathematics)
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Therefore, for multiple edges on the path, we propose a method to obtain the total diffraction loss by adding the loss from the Bullington method and the loss from the ignored edges.
By a graph G = (V, E) we mean a finite undirected, graph with neither loops nor multiple edges. The number of vertices of G is called order of G and it is denoted by p.
If we allow an edge between a vertex and itself (loop) or multiple edges between two vertices, we obtain a multigraph.
In this paper all digraphs are finite and may have loops and multiple edges (edges with the same initial and final vertices).
A graph has no multiple edges or loops while a multigraph is allowed to have multiple edges but has no loops.
The concept edge ideal was first introduced by Villarreal in [23] that is let be a simple (no loops or multiple edges) graph on the vertex set and the edge set .
As an example, any network functions and services (e.g., L2-L7) could be executed and controlled according to three hierarchical levels, thus simplifying the "operations" even in dense network environments: i) at the device level (for very local decisions), ii) at the edge level (for edge orchestration), and iii) at the cloud centralized level (for global orchestration of multiple edges).
This sets up a problem that has multiple edges, first families who live in the community have a widespread use of candles and lighters for lighting provided, and an almost similar battery consumption to listen to their radios, all of them highly polluting energy and much risk to users.
Figure 10(c), multiple edges found for the same fiber can be seen.
A multiple star is a star with multiple edges allowed.
In this paper, we propose and analyze a new loss model of a star OBS network, consisting of multiple edges nodes, which are connected to one core node via bi-directional links.
By a graph, we mean a finite undirected graph without loops or multiple edges. A path of n vertices is denoted by [P.sub.n].

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