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Graph based semi-supervised classification method are widely used for hyperspectral image classification. We present a couple graph based label propagation method, which contains both the adjacency gr...
An analytical approach is developed to obtain the exact expressions for the two-point resistance, and the total effective resistance of the complete graph minus $N$ edges of the opposite vertices. The...
Networks arising from social, technological and natural domains exhibit rich connectivity patterns and nodes in such networks are often labeled with attributes or features. We address the question of ...
Abstract: We study the antiferromagnetic Potts model on the Erdos-Renyi random graph. By identifying a suitable interpolation structure and proving an extended variational principle we show that the r...
Abstract: We study the behavior of the Chern classes of graph hypersurfaces under the operation of deletion-contraction of an edge of the corresponding graph. We obtain an explicit formula when the ed...
The controlled-Z ( CZ) operations acting separately on pairs of qubits are commonly adopted in the schemes of generating graph states, the multipartite entangled states for the one-way quantum computi...
We study the quantum query complexity of minor-closed graph properties, which include such problems as determining whether a graph is planar, is a forest, or does not contain a path of a given length....
Self-testing graph states     Self-testing  graph states       2010/11/4
We give a construction for a self-test for any connected graph state. In other words, for each connected graph state we give a set of non-local correlations that can only be achieved (quantumly) by th...
We describe new constructions of graphs which exhibit perfect state transfer on continuoustime quantum walks. Our constructions are based on variants of the double cones [8, 3, 2] and the Cartesian ...
We consider a discrete-time quantum walk Wt, at time t on a graph with joined half lines J, which is composed of  half lines with the same origin. Our analysis is based on a reduction of the walk o...
We discuss formulations of boundary conditions in a quantum graph vertex and demonstrate that the so-called S Tform can be further reduced up to a form more effective in certain applications: In parti...
The entanglement properties of a multiparty pure state are invariant under local unitary transformations. The stabilizer dimension of a multiparty pure state characterizes how many types of such local...
2006Vol.46No.2pp.261-264DOI: Influence of Inhomogeneity on Critical Behavior of Earthquake Model on Random Graph ZHANG Duan-Ming, SUN Fan, YU Bo-Ming, PAN Gui-Jun, YIN Yan-Ping, L...
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity.That is, for a permutation group Γ, how low can the complexity be for any boolean fu...

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