A new method is used to construct the claw network. The weight of edge in next generation on claw network is related to the strength of the node in former generation. Then we calculate the exact expression of the average receiving time (ART) on claw network after dividing the whole network into four blocks. The result of ART indicates that ART grows exponentially with the network order as a power-law function. Moreover, the accurate relation of average shortest path (ASP) on claw network is determined by a novel method. The key of this method is to divide the whole claw network into four blocks, and then divide each block network into some smaller blocks to calculate ASP. The result of ASP implies that ASP increases sublinearly with the size of the claw network.

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