How to simulate a tree of nodes?

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jy tan
jy tan 2012-2-29
With first layer each connected to 2 nodes second layer each connected to 3 nodes third layer connected to 3 nodes and so on
if i type out adjacency matrix will take very long is there more efficient method of coming out with the adjacency matrix?
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jy tan
jy tan 2012-3-3
is there a simpler way?
adjacency matrix with many nodes tend to be very long horizontally and vertically

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