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Vector Flows and Integer Flows

SIAM Journal on Discrete Mathematics, 2015
Summary: A vector \({S}^d\)-flow is a flow whose flow values are vectors in \(S^d\), where \(S^d\) is the set of all unit vectors in \(\mathbb{R}^{d+1}\). \textit{K. Jain} [``Unit vector flows'', in: Open Problem Garden. Praha: CSI of Charles University (2007); \url{http://www.openproblemgarden.org/op/unit_vector_flows}] and \textit{C.
Yi Wang   +3 more
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Causal Flow

IEEE Transactions on Multimedia, 2011
Optical flow is a widely used technique for extracting flow information from video images. While it is useful for estimating temporary movement in video images, it only captures one aspect of extracting dominant flow information from a sequence of video images.
Yuya Yamashita   +2 more
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Flow symmetry and algebraic flows

ZOR Zeitschrift f� Operations Research Methods and Models of Operations Research, 1993
Lovász showed that a vector \(x\) defined on the arc set of a directed network \(D\) is a circulation iff for each pair of distinct vertices \(s\) and \(t\) the value of a maximum \((s,t)\)-flow in \(D\) with respect to capacities \(x\) equals the value of a maximum \((t,s)\)-flow in \(D\) with capacities \(x\) (``flow-symmetry''). In this paper, it is
Mark E. Hartmann, Michael H. Schneider
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