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- Institute of High Energy PhysicsCN15 papers
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13 papers · 2 filters
Minimally Intersecting Set Partitions of Type B
William Y. C. Chen, David G. L. Wang
Motivated by Pittel's study of minimally intersecting set partitions, we investigate minimally intersecting set partitions of type B. We find a formula for the number of minimally…
On Balanced Colorings of the n-Cube
William Y. C. Chen, Larry X. W. Wang
A 2-coloring of the n-cube in the n-dimensional Euclidean space can be considered as an assignment of weights of 1 or 0 to the vertices. Such a colored n-cube is said to be balance…
Note on the energy of regular graphs
Xueliang Li, Yiyang Li, Yongtang Shi
For a simple graph , the energy is defined as the sum of the absolute values of all the eigenvalues of its adjacency matrix . Let , respectively, be…
Identities Derived from Noncrossing Partitions of Type B
William Y. C. Chen, Andrew Y. Z. Wang, Alina F. Y. Zhao
Based on weighted noncrossing partitions of type B, we obtain type B analogues of Coker's identities on the Narayana polynomials. A parity reversing involution is given for the alt…
Target prediction and a statistical sampling algorithm for RNA-RNA interaction
F. W. D. Huang, J. Qin, C. M. Reidys +1
It has been proven that the accessibility of the target sites has a critical influence for miRNA and siRNA. In this paper, we present a program, rip2.0, not only the energetically…
Mixed Statistics on 01-Fillings of Moon Polyominoes
William Y. C. Chen, Andrew Y. Z. Wang, Catherine H. Yan +1
We establish a stronger symmetry between the numbers of northeast and southeast chains in the context of 01-fillings of moon polyominoes. Let $\M$ be a moon polyomino with rows…