Server connection method and system of a network

A server connection method, comprising:

• providing a plurality of servers, each server comprising ten nodes, each node of the ten nodes comprising three internal connection ports and four external connection ports, the ten nodes of the each server being coupled in a first network topology using the internal connection ports to form a same Petersen graph, the Petersen graph comprising five nodes in an inner cycle and five nodes in an outer cycle, the Petersen graph being a Moore graph with a diameter of two and a node degree of three;
• mapping and converting, with a processor, a second network topology of a server in the servers to the first network topology when the second network topology differs from the first network topology;
• and
• coupling, with the processor based on the first network topology, a first five nodes in an inner cycle of a selected server to second five nodes in an outer cycle of the other servers using the external connection ports to provide a network of a Hoffman-Singleton graph comprising the first network topology that reduces complexity of routing information through the servers.

A system for a server connection, comprising:

• a processor;
• and
• a plurality of servers that are configured to be coupled together in a network of a Hoffman-Singleton graph using the processor, each server comprising five nodes, each node of the five nodes comprising two internal connection ports and five external connection ports, the processor being configured to:
• couple head-to-tail in series, in a first network topology, a first five nodes of a selected server using the internal connection ports;
• map and convert a second network topology of a server in a second five servers to the first network topology when the second network topology differs from the first network topology;
• and
• couple the first five nodes of the selected server of a first five servers to second five nodes of each of the second five servers using the external connection ports to provide the Hoffman-Singleton graph with the first network topology that reduces complexity of routing information through the servers.

A system for a server connection, comprising:

• a processor;
• and
• a plurality of servers that are configured to be coupled together in a network of a Hoffman-Singleton graph using the processor, each server comprising ten nodes, each node of the ten nodes comprising three internal connection ports and four external connection ports, the processor being configured to:
• couple ten nodes of the each server in a first network topology using the internal connection ports to form a same Petersen graph, the Petersen graph comprising five nodes in an inner cycle and five nodes in an outer cycle, the Petersen graph being a Moore graph with a diameter of two and a node degree of three;
• map and convert a second network topology of a server in the servers to the first network topology when the second network topology differs from the first network topology;
• and
• couple a first five nodes in an inner cycle of a selected server to second five nodes in an outer cycle of the other servers using the external connection ports to provide the Hoffman-Singleton graph comprising the first network topology that reduces complexity of routing information through the servers.