On the Edge-forwarding Indices of Frobenius Graphs
โ Scribed by Yan Wang; Xin Gui Fang; D. F. Hsu
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2006
- Tongue
- English
- Weight
- 183 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
We present a technique for building, in some Cayley graphs, a routing for which the load of every edge is almost the same. This technique enables us to find the edge-forwarding index of star graphs and complete-transposition graphs.
A routing R in a graph G is a set of paths {RX,, : x, y E V(G)} where, for each ordered pair of vertices (x, y), RXy links x to y. The load <(G, R, x) of a vertex x in the routing R is the number of paths of R for which x is an interior vertex. We define the forwarding diameter p( G, R) of the pair
## Abstract Let __G__ be a connected graph. A routing in __G__ is a set of fixed paths for all ordered pairs of vertices in __G__. The forwarding index of __G__ is the minimum of the largest number of paths specified by a routing passing through any vertex of __G__ taken over all routings in __G__.