Results 21 to 30 of about 9,755 (179)
Modeling Complex Systems by Structural Invariants Approach
Complexity, 2021 When modeling complex systems, we usually encounter the following difficulties: partiality, large amount of data, and uncertainty of conclusions. It can be said that none of the known approaches solves these difficulties perfectly, especially in cases ...
Jiri Bila, Ali. H. Reshak, Jan Chysky
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q-ary Quasi-Cyclic Codes on Matroid Theory
MATEC Web of Conferences, 2018 In this paper, rate 1/p q-ary systematic quasi-cyclic codes are constructed based on matroid theory. The relationship between the generator matrix and minimum distance d is derived. Examples and algorithm are presented.
Xiuli Li, Pengcheng Zhao, Dangsheng Zhou
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Closure System and Its Semantics
Axioms, 2021 It is well known that topological spaces are axiomatically characterized by the topological closure operator satisfying the Kuratowski Closure Axioms. Equivalently, they can be axiomatized by other set operators encoding primitive semantics of topology ...
Yinbin Lei, Jun Zhang
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Rigidity theory for matroids [PDF]
Commentarii Mathematici Helvetici, 2007 Combinatorial rigidity theory seeks to describe the rigidity or flexibility of bar-joint frameworks in Rd in terms of the structure of the underlying graph G. The goal of this article is to broaden the foundations of combinatorial rigidity theory by replacing G with an arbitrary representable matroid M.
Develin, Mike +2 more
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Relations between M\"obius and coboundary polynomial [PDF]
, 2012 It is known that, in general, the coboundary polynomial and the M\"obius polynomial of a matroid do not determine each other. Less is known about more specific cases.
A. Faldum +15 more
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Capacity of Spaces of Properties Formulae, Approximations and Qualitative Shapes
Mendel, 2018 This article focuses on the exploration of spaces and models in which we describe the behavior of complex systems as special shapes. We understand these shapes both as a configuration of properties and their values, and on the other, as the formation of ...
Jiri Bila
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Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach [PDF]
, 2013 Using a quantum field theory renormalization group-like differential equation, we give a new proof of the recipe theorem for the Tutte polynomial for matroids.
Duchamp, Gérard H. E. +3 more
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Dyck path triangulations and extendability (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We introduce the Dyck path triangulation of the cartesian product of two simplices $\Delta_{n-1}\times\Delta_{n-1}$. The maximal simplices of this triangulation are given by Dyck paths, and its construction naturally generalizes to produce triangulations
Cesar Ceballos +2 more
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Topological representations of matroids [PDF]
, 2002 There is a one-to-one correspondence between geometric lattices and the intersection lattices of arrangements of homotopy spheres. When the arrangements are essential and fully partitioned, Zaslavsky's enumeration of the cells of the arrangement still ...
Swartz, Edward
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Dissimilarity Vectors of Trees and Their Tropical Linear Spaces (Extended Abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We study the combinatorics of weighted trees from the point of view of tropical algebraic geometry and tropical linear spaces. The set of dissimilarity vectors of weighted trees is contained in the tropical Grassmannian, so we describe here the tropical ...
Benjamin Iriarte Giraldo
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