Abstract: Understanding the graph structure of the Internet is a crucial step for building accurate
network models and designing efﬁcient algorithms for Internet applications.Yet,obtaining this graph
structure can be a surprisingly difﬁcult task,as edges cannot be explicitly queried.For instance,
empiricalstudies of the network of InternetProtocol (IP) addresses typically rely on indirect methods
like trace route to build what are approximately single-source,all-destinations,shortest-path trees.
These trees only sample a fraction of the network’s edges,and a paper by Lakhinaetal.found
empirically that there sulting sample is intrinsically biased.Further,in simulations,they observed that the degree distribution under trace route sampling exhibits a power law even when the underlying
degree distribution is Poisson.