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A Wireless Sensor Network (WSN) is a network of battery-powered nodes in which data is routed from sources to sinks. Each node consumes energy in order to transmit or receive on its radio. Consequently, an intermediate node that is used by multiple sources will quickly expire. If some sources are unable to route without the presence of that node, any remaining energy they have is wasted. We present a new routing scheme known as node reliance, which rates the degree to which nodes are relied upon in routing. The use of node reliance reduces the contention for intermediate nodes, permitting sources to route to sinks for longer and thus maximising the useful lifetime of the network.