The forwarding index of directed networks
โ Scribed by Yannis Manoussakis; Zsolt Tuza
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 940 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In a communication network it is desirable that all pairs of nodes can exchange messages at the same time. But under the capacity constraints on nodes or links this desired property may not be satisfied; only some node pairs can communicate with each other while the rest have to be blocked. A natura
In a given graph with n vertices, a routing is defined as a set of n(n -1) routes, one route connecting each ordered pair of vertices. The load of a vertex is the number of routes going through it. The forwarding index of the graph is the minimum of the largest load taken over all routings. We const
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We define a graph as orbital regular if there is a subgroup of its automorphism group that acts regularly on the set of edges of the graph as well as on all its orbits of ordered pairs of distinct vertices of the graph. For these graphs there is an explicit formula for the edgeforwarding index, an i
## Abstract In a given network with __n__ vertices, a routing is defined as a set of __n__(__n__ โ 1) routes, one route connecting each ordered pair of vertices. The load of a vertex is the number of routes going through it. The forwarding index of the network is the minimum of the largest load tak