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Connection matrix theory for discrete dynamical systems

Piotr Bartłomiejczyk, Zdzisław Dzedzej
1999 Banach Center Publications  
This structure is called a Morse decomposition of an isolated invariant set. A filtration of index pairs associated with a Morse decomposition can be used to find connections between Morse sets.  ...  In [BD] we have proved the existence of index triples and index filtrations for dynamical systems given by a homeomorphism (discrete dynamical systems).  ...  Thus the index filtration defines an index pair for each Morse set. For the Morse set M (J) we will denote by C(J) the singular chain complex of the quotient space N (K)/N (I).  ... 
doi:10.4064/-47-1-67-78 fatcat:rcdnzv6dhvfm3bmsjzwibbobpe

Research on Supplier Evaluation in a Green Supply Chain

Qiang Hou, Lei Xie
2019 Discrete Dynamics in Nature and Society  
The result of the example shows that the algorithm has practicability and a dipartite degree.  ...  The supplier is considered to be attractive under green supply chain management; supplier evaluation is also confronted with a serious challenge.  ...  measurement and promotion strategy of industry on the supply side reform of Liaoning province" (serial number: LNKX2018-2019A8).  ... 
doi:10.1155/2019/2601301 fatcat:clilszg6frgvzafu2pgy2bamqu

A Risk Management Model For The Capacitated Continuous Location Allocation Problem

M. S. Jabalameli, S. J. Hosseininezhad, S. G. Jalali Naeini
2013 Journal of Mathematics and Computer Science  
Finally, a risk management model is proposed with presentation of degree satisfaction concept of each risk as objective function.  ...  A facility belongs to a zone when is located in a predetermined radius from center of the zone. Because of uncertain budget and demand, the model is considered in fuzzy environment.  ...  Since, there is a 1 ≤ 1 , ∀ = 1,2, … , ∈ 0,1 , ∈ ℤ , ∈ ℛ,, ∀ = 1,2, … , , ∀ = 1,2, … , Description Notations Sets/Indices set of zones (demand points) in a continuous space indexed by  ... 
doi:10.22436/jmcs.06.01.01 fatcat:sx4bfyu6zra3ve4upcymzzagmq

Study on the Evaluation for the Knowledge Sharing Efficiency of the Knowledge Service Network System in Agile Supply Chain

Wang Daoping, Wang Zhe, Sheng Xiaojuan
2015 Open Cybernetics and Systemics Journal  
After evaluation indexes were reduced with rough set theory, a knowledge sharing efficiency evaluation model for the knowledge service network system in agile supply chain was established with error back  ...  In this paper, an evaluation index system for the knowledge sharing efficiency of the knowledge service network system in agile supply chain was constructed in terms of knowledge system, knowledge sharing  ...  Rough Set Reduction Indexes Rough set theory is a mathematical tool to process fuzzy and uncertain knowledge, which is applicable to solving the qualitative index screening problem in knowledge sharing  ... 
doi:10.2174/1874110x01509010384 fatcat:o6rkmxehnzcmrlhgm6sbhlcth4

The edge-Wiener index and the edge-hyper-Wiener index of phenylenes

Petra Žigert Pleteršek
2018 Discrete Applied Mathematics  
The degree of a vertex in , ( ), is the number of edges incident to and [ , ] denotes the set of vertices adjacent to . A pendent vertex is a vertex with degree one.  ...  Let be such a graph with vertex and edge sets ( ) and ( ), respectively. The distance between two vertices and in , denoted by ( , | ), is defined as the length of a shortest path between and .  ... 
doi:10.1016/j.dam.2018.07.024 fatcat:k45j5yko4zd4fjexiis7l2rn6u

Fuzzy systems to support industrial engineering management

Nunes Isabel
2012 Istrazivanja i projektovanja za privredu  
A fuzzy set (FS) is the generalization of classical (crisp) set. By contrast with classical sets which present discrete borders, FS presents a boundary with a gradual contour.  ...  Computing of a fuzzy Supply Chain Performance Index (SCPI) for each scenario using a weighted aggregation of PI, using the following expression: 6. where: SCPI -is the Supply Chain Performance Index  ... 
doi:10.5937/jaes10-2510 fatcat:2ztubitkgbgcnbtsvfiuo6l4ve

The Multiplicative Zagreb Indices of Nanostructures and Chains

Wei Gao, Mohammad Reza Farahani, M. R. Rajesh Kanna
2016 Open Journal of Discrete Mathematics  
In this paper, we present the exact expressions of multiplicative Zagreb indices for certain important chemical structures like nanotube, nanostar and polyomino chain.  ...  the chemical characteristics of compounds and drugs.  ...  Acknowledgements We thank all the reviewers for their constructive comments in improving the quality of this paper. Research is supported partially by NSFC (No. 11401519) .  ... 
doi:10.4236/ojdm.2016.62008 fatcat:7742jkvvova7zlim5lt5jix2be

The Multiscale Conformation Evolution of the Financial Time Series

Shupei Huang, Haizhong An, Xiangyun Gao, Xiaoqing Hao, Xuan Huang
2015 Mathematical Problems in Engineering  
whole conformational evolution network has a clustering effect, and there is a turning point when the size of the chain of multiscale conformations is 14.  ...  To illustrate, using data of Shanghai's composition index with daily frequency from 1991 to 2014 as an example, we find that a few major conformations are the main contributors of evolution progress, the  ...  Acknowledgments This research was partly supported by the National Natural Science Foundation of China (Grant no. 71173199) and the Fundamental Research Funds for the Central Universities (Grant no. 35732015060  ... 
doi:10.1155/2015/563145 fatcat:jc3cfysefrbtphreegrdt5mgw4

SAMPLE and TEST: Two FORTRAN IV programs for analysis of discrete-state, time-varying data using first-order, Markov-chain techniques

Robert B. Arundale
1984 Behavoir research methods, instruments & computers  
Discrete-state Markov-chain analysis provides a means of analyzing change over time in any behavior that can be characterized as occupying one of two or more discrete states at anyone point in time.  ...  A first-order, discrete-state Markov chain is a sequence of behavior states in which the probability of the organism or system's being in a given state at time t 2 depends on the state the entity was in  ...  All may be obtained at cost of reproduction and shipping from Robert B. Arundale, Department of Speech and Drama, University of Alaska, Fairbanks, Alaska 99701.  ... 
doi:10.3758/bf03202418 fatcat:hnq3ncqfkbhl3dk6z3lyg6po44

Effective persistent homology of digital images [article]

Ana Romero, Julio Rubio, Francis Sergeraert
2014 arXiv   pre-print
The algorithms have been implemented as extensions of the Kenzo system and have shown a good performance when applied on some actual images extracted from a public dataset.  ...  In this paper, three Computational Topology methods (namely effective homology, persistent homology and discrete vector fields) are mixed together to produce algorithms for homological digital image processing  ...  D, a filtered chain complex morphism f : C → D is a chain complex morphism which is compatible with the filtrations, that is to say, f (C i n ) ⊆ D i n for each degree n and filtration index i.  ... 
arXiv:1412.6154v1 fatcat:ig3bpquomzdfhib5zhzeydllxq

Page 5177 of Mathematical Reviews Vol. , Issue 2003g [page]

2003 Mathematical Reviews  
In the first part they focus on a few topics in the theory of isolated invariant sets and the discrete Conley index theory.  ...  In this paper the author proves that the chain transitive compo- nents of a flow on a compact Hausdorff topological space X are the components of the chain recurrent set and that each chain transitive  ... 

Resolution of hypervariable regions in T-cell receptor beta chains by a modified Wu-Kabat index of amino acid diversity

R. Jores, P. M. Alzari, T. Meo
1990 Proceedings of the National Academy of Sciences of the United States of America  
We show that a simple modification enhances the resolving power of the index by increasing the weight on the frequency distribution of the amino acids in the formula.  ...  Application of the improved index to T-cell receptor (I chains highlights four unambiguous hypervariable regions, three of which are positioned similar to immunoglobulin complementarity-determining regions  ...  Application of the modified diversity index to the set of V-region sequences of TCR f8 chains from data base I resolves four discrete stretches of hypervariable positions that are objectively defined after  ... 
doi:10.1073/pnas.87.23.9138 pmid:2251255 pmcid:PMC55119 fatcat:27ak5z3o4ng5fh7vk46v24kre4

Rate-splitting multiple access for discrete memoryless channels

A.J. Grant, B. Rimoldi, R.L. Urbanke, P.A. Whiting
2001 IEEE Transactions on Information Theory  
As a by-product, some interesting properties of the capacity region of -user asynchronous discrete memoryless channels are derived.  ...  This result, which extends a similar result for Gaussian channels, reduces the seemingly hard task of finding good multiple-access codes to the much better understood task of finding good codes for single-user  ...  to a set of up to independent (and asynchronous) point-to-point discrete memoryless channels.  ... 
doi:10.1109/18.915637 fatcat:4urkb3ievvgtbl34fxngoqxvee

Groebner basis degree bounds on ^k[Λ ]_∙(k,k)_∙ and discrete Morse theory for posets [article]

Patricia Hersh, Volkmar Welker
2003 arXiv   pre-print
We extend the lexicographic discrete Morse function construction of Babson and Hersh for the determination of the homotopy type and homology of order complexes of posets to a larger class of facet orderings  ...  Moreover, we provide a combinatorial construction for a free resolution of over [Λ] which achieves these bounds. 2.  ...  Also we will identify a set of chains in P , resp. faces of ∆(P ), with the simplicial complex generated by the chains.  ... 
arXiv:math/0312505v1 fatcat:skemvnza3rb2deulys2ms3zujq


2003 Discrete Mathematics  
Napolitano Erratum to ''On a class of finite linear spaces with few lines'' [Discrete Mathematics 270 (2003) 207-224] 225 O.  ...  Bokler Lower bounds for the cardinality of minimal blocking sets in projective spaces 13 A. Bonato Homomorphisms and amalgamation 33 A. Bonnecaze, Y. Choie, S.T. Dougherty and P. Sol !  ... 
doi:10.1016/s0012-365x(03)00328-5 fatcat:bslcrcntwzew3cock46jo4m2zy
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