Abstract: A method for arranging a plurality of nodes in a cluster is disclosed. The invention proposes a scheme for creation of a cluster having optimum number of connections and with a diameter of two, meaning any two nodes are at most two edges away from each other. The present invention uses Singer Difference Set for deriving networks with a smaller number of connections per node for clusters of the same size. Further, the method envisaged by the present invention allows multiple computers to be placed at each node with the computers sharing the network in a non-conflicting manner, resulting in a powerful cluster at reduced cost.

Abstract: A method for arranging a plurality of nodes in a cluster is disclosed. The invention proposes a scheme for creation of a cluster having optimum number of connections and with a diameter of two, meaning any two nodes are at most two edges away from each other. The present invention uses Singer Difference Set for deriving networks with a smaller number of connections per node for clusters of the same size. Further, the method envisaged by the present invention allows multiple computers to be placed at each node with the computers sharing the network in a non-conflicting manner, resulting in a powerful cluster at reduced cost.

Abstract: Methods and apparatuses to estimate delay for logic circuit optimization using back annotated placement and delay data. In one aspect of the invention, a method to design a logic circuit, the method includes: modifying a first path that is back annotated with first placement information and first delay information to generate a second path; and calculating a signal delay on the second path from second placement information for the second path, the first placement information and the first delay information (or, computing an adjustment to the first delay information from second placement information for the second path and the first placement information). In one example according to this aspect, the first placement information and the first delay information are back annotated from a timing analysis based on placing and routing at least the first path. An actual route is determined from the first placement information in calculating the signal delay.