  The movies of Marvel universe are very popular among young people. Almost
every young people nowadays know some of the heroes in Marvel universe, such as
iron man and spider man. The data set named The Marvel Universe Social Network
(MUSN) describe the social relationships of the heroes. By analyzing the MUSN,
we establish a social network of Marvel heroes. We derive some basic statistics
from the Marvel network, such as the number of nodes and links, the hubs, the
components, the shortest path lengths and the diameter. In the next part, we
analyze the structure of the Marvel network and obtain some results of the
connectedness, the clustering, the degree distribution, the degree correlation.
Meanwhile, we fit the power law and divide the network into different
communities. In this process, we not only find that the network appears to have
the small world nature, since it is obviously a scale-free network, but also
find that it is very similar to the real-world social network. Further, based
on the work of Loverkar et al., we do a hypothesis test on the small world
nature of the network. We find that the Marvel network does have small world
property. In the end, we visualize the Marvel network to give a better
understanding of the network.
