Pseudo Polynomial Time Algorithms for Optimal Longcut Route Selection

Optimal Configuration for BGP Route Selection

An Internet Service Provider must provide transit service for traffic between its customers and its providers and, at the same time, attempt to minimize network utilization and balance traffic according to the capacities of its border routers. Central to the selection of border routers for transit traffic flows is the Border Gateway Protocol (BGP) between Autonomous Systems peers, through which...

Optimal On The Fly Index Selection in Polynomial Time

The index selection problem (ISP) is an important problem for accelerating the execution of relational queries, and it has received a lot of attention as a combinatorial knapsack problem in the past. Various solutions to this very hard problem have been provided. In contrast to existing literature, we change the underlying assumptions of the problem definition: we adapt the problem for systems ...

Optimal Algorithms for Parallel Polynomial Evaluation

Optimal and Nearly Optimal Algorithms for Approximating Polynomial Zeros

K e y w o r d s C o m p l e x polynomial zeros, Approximation, Polynomial factorization, Parallel algorithms, Computational complexity, Sequential algorithms. 1. I N T R O D U C T I O N 1.1. T h e Subject , Some History, and a S u m m a r y of Our Resul ts The problem of solving a polynomial equation p ( x ) = 0 substantially motivated the development of mathematics throughout the centuries. As...

Polynomial-Time Approximation Algorithms

• Assume that the input is random, and find an algorithm that will perform well in the average case. For example, the maximum clique problem, which is NP -hard, can actually be solved efficiently assuming a random input because the maximum clique in a randomly chosen graph is small. This assumption is often used in practice, but the problem is that not everyone will agree on whether the input d...