Significant advances in field-programmable gate arrays (FPGAs) have made it viable to explore innovative multiprocessor solutions on a single FPGA chip. For multiprocessors, an efficient communication network that matches the needs of the target application is always critical to the overall performance. Wormhole packet-switching network-on-chip (NoC) solutions are replacing conventional shared buses to deal with scalability and complexity challenges coming along with the increasing number of processing elements (PEs). However, the quest for high performance networks has led to very complex and resource-expensive NoC designs, leaving little room for the real computing force, i.e., PEs. Moreover, many techniques offer very small performance gains or none at all when network traffic is light while increasing the resource usage of routers. We argue that computation is still the primary task of multiprocessors and sufficient resources should be reserved for PEs. This paper presents our novel design and implementation of a resource-efficient communication network for multiprocessors on FPGAs. We reduce not only the required number of touters for a given number of PEs by introducing a new PE-router topology, but also the resource requirement of each router. Our communication network relies on the NEWS channels to transfer packets in a pipelined fashion following the path determined by the routing network. The implementation results on various Xilinx FPCAs show good performance in the typical range of network load for multiprocessor applications.