Partially interconnected topological network
View Patent ↗In a partially interconnected topological network having at least six topological nodes, a topological node being a single physical node or a group of interconnected physical nodes or part of a physical node or a group of interconnected physical nodes and parts of physical nodes, each topological node having at least three point-to-point topological links connecting it to some, but not all, of the plurality of topological nodes, there is at least one choice of routing between any two topological nodes, where the choice of routing is either two point-to-point topological links connected in series at another of the topological nodes or a direct point-to-point topological link between the two topological nodes.
1. A partially interconnected topological network, comprising:
at least six topological nodes, wherein a topological node is a single physical node or a group of interconnected physical node' or part of a physical node or a group of interconnected physical nodes and parts of physical nodes,
each topological node having at least three point-to-point topological links connecting it to some, but not all, of the at least six topological nodes,
wherein P groups of Q topological nodes are arranged so that each topological node within a group is connected to every other topological node within that group and to exactly one topological node in every other of the P−1 groups, where P and Q are great than two, and where P is not equal to Q, and
where there is at least one choice of routing between any two topological nodes, and where said at least one choice of routing further comprises either two point-to-point topological links connected in series at another of the topological nodes or a direct point-to-point topological link between the two topological nodes.
2. The partially interconnected topological network as claimed in claim 1 , wherein each topological node is a traffic entry point and/or a traffic exit point.
3. The partially interconnected topological network as claimed in claim 1 , wherein the partially interconnected topological network is a part of a larger topological network.
4. The partially interconnected topological network as claimed in claim 1 , wherein each point-to-point topological link comprises a whole or a part of a transmission system or several transmission systems connected in series or in parallel.
5. The partially interconnected topological network as claimed in claim 4 , wherein the transmission system carries multiple circuits.
6. The partially interconnected topological network as claimed in claim 1 , wherein there is an equal number of point-to-point topological links from each topological node.
7. The partially interconnected topological network as claimed in claim 1 , wherein the topological network is arranged by an application of symmetric balanced incomplete block designs, in which for every point-to-point topological link between two nodes A and B there is a corresponding point-to-point topological link between nodes B and A, and in which no topological node is connected to itself by an external loop.
8. The partially interconnected topological network as claimed in claim 7 , wherein there are missing topological links.
9. The partially interconnected topological network as claimed in claim 1 , wherein the topological network is arranged by an application of strongly regular graphs.
10. The partially interconnected topological network as claimed in claim 1 , wherein the topological network is arranged by an application of symmetric balanced incomplete block designs which for every point-to-point topological link between two nodes A and B there is a corresponding point-to-point topological link between nodes B and A, and in which any external loops connecting a topological node to itself are deleted.
11. The partially interconnected topological network as claimed in claim 1 , wherein the network is connected to a further similar partially interconnected topological network having an equal or lesser number of topological nodes.
12. The partially interconnected topological network as claimed in claim 1 , where no topological node is connected to itself by an external loop.
13. The partially interconnected topological network as claimed in claim 1 , wherein:
(topological nodes−1)×choices=(point-to-point topological links) 2 .
14. The partially interconnected topological network as claimed in claim 1 , wherein the partially interconnected topological network is a telecommunications and/or data network.
15. The partially interconnected topological network as claimed in claim 1 , wherein a group of primary nodes arranged by an application of strongly regular graphs is extended by associating one or more secondary nodes with each primary node, wherein each secondary node is connected to the same primary nodes as its associated primary node.
16. The partially interconnected topological network as claimed in claim 15 , wherein two secondary nodes are connected if their associated primary nodes are connected.