  The three Power-Laws proposed by Faloutsos et al(1999) are important
discoveries among many recent works on finding hidden rules in the seemingly
chaotic Internet topology. In this note, we want to point out that the first
two laws discovered by Faloutsos et al(1999, hereafter, {\it Faloutsos' Power
Laws}) are in fact equivalent. That is, as long as any one of them is true, the
other can be derived from it, and {\it vice versa}. Although these two laws are
equivalent, they provide different ways to measure the exponents of their
corresponding power law relations. We also show that these two measures will
give equivalent results, but with different error bars. We argue that for nodes
of not very large out-degree($\leq 32$ in our simulation), the first Faloutsos'
Power Law is superior to the second one in giving a better estimate of the
exponent, while for nodes of very large out-degree($> 32$) the power law
relation may not be present, at least for the relation between the frequency of
out-degree and node out-degree.

Networking and Internet Architecture