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环路空间，超对称与指标理论研讨会将于2017.7.17-7.21在南开大学陈省身数学研究所举行。
International Workshop on Loop Space, Supersymmetry and Index Theory
International Workshop Loop Space, Supersymmetry and Index Theory
2017/2/15
Chern Institute of Mathematics (CIM) was founded through the initiative of the late Professor Shiing-Shen Chern, who was also the first director of the Institute until 1992. The institute is located i...
The Maslov index in symplectic Banach spaces.
The Sorting Index and Permutation Codes
permutation statistic Mahonian statistic Coxeter group set-valued statistic bijection
2014/6/3
In the combinatorial study of the coefficients of a bivariate polynomial that generalizes both the length and the reflection length generating functions for finite Coxeter groups, Petersen introduced ...
We derive formulas for the cd-index and the toric h-vector of a convex polytope P from a sweeping by a hyperplane. These arise from interpreting the corresponding S-shelling of the dual of P. We desc...
Star chromatic index
Star chromatic index math
2010/11/19
The star chromatic index $\chi_s'(G)$ of a graph $G$ is the minimum number of colors needed to properly color the edges of the graph so that no path or cycle of length four is bi-colored. We obtain a...
An upper bound for the Hosoya index of trees
Hosoya index of graphs tree eigenvalue of graphs
2010/9/13
The Hosoya index of a graph G is defined as the sum of all the numbers of k - matchings (k ≥ 0) in G. An upper bound for the Hosoya index of trees is presented in this note.
We propose a major index statistic on 01-fillings of moon polyominoes which, when specialized to certain shapes, reduces to the major index for permutations and set partitions. We consider the set F(M...
In this work we prove that for balanced multidigraphs only a local quality index can have a finite upper bound, and it exists when we are not limited to considering only simple cycles. In addition, we...
An algorithm for the calculation of progress or regress via TOPSIS and Malmquist productivity index
Topsis, Positive ideal solution Nagative ideal solution
2010/9/17
In this paper, the TOPSIS method is used for two times t and t + 1. In order to calculate the progress or regress via Malmquist index, the positive and negative ideal and negative ideals at time t and...
Topological index is the first effective choice in QSAR research and Wiener index is the most important topological index, since it can be obtained directly from molecular structures.In this paper we ...
Data Envelopment Analysis (DEA) based Malmquist productivity index measures the productivity change over time. The current paper defines Imprecise DEA (IDEA) based Malmquist productivity index in orde...
ICM can be regarded as a transformation taking the temporal series with length of k into sequence of number with length of k/k2. A quasiperiodic temporal series can be changed to a quasi-periodic sequ...
On comparison of the tail index of heavy tail distributions using Pitman's measure of closeness
Stable distributions Pitman’s measure of closeness
2010/9/15
The objective of this paper is to compare estimators which are a function of sample averages (a modification of Fan’s estimators) based on different sample sizes for all symmetric stable distributions...
Malmquist productivity index on interval data in telecommunication firms, Application of data envelopment analysis
Data Envelopment Analysis Malmquist productivity index
2010/9/15
Performance evaluation of units under supervision in any organization is one of the most important topics of concern in management.Computing relative efficiency of related companies of an organization...