  In this paper, we introduce a discrete quantum walk model called bipartite
walks. Bipartite walks include many known discrete quantum walk models, like
arc-reversal walks, vertex-face walks. For the transition matrix of a quantum
walk, there is a Hamiltonian associated with it. We will study the Hamiltonians
of the bipartite walks. Let $S$ be a skew-symmetric matrix. We are mainly
interested in the Hamiltonians of the form $iS$. We show that the Hamiltonian
can be written as $iS$ if and only if the adjacency matrix of the bipartite
graph is invertible. We show that arc-reversal walks and vertex-face walks are
special cases of bipartite walks. Via the Hamiltonians, phenomena of bipartite
walks lead to phenomena of continuous walks. We show in detail how we use
bipartite walks on paths to construct universal perfect state transfer in
continuous walks.
