Results 91 to 100 of about 335 (183)

Modeling of Complex Systems by Means of Partial Algebras

open access: yesMendel, 2019
Complex systems are very hard to describe by some unified language and calculus. In cases when their nature is very heterogeneous is possible to use with advantage state description.
Jiri Bila   +2 more
doaj   +1 more source

On matroid connectivity

open access: yesJournal of Combinatorial Theory, Series B, 1981
AbstractThree types of matroid connectivity, including Tutte's, are defined and shown to generalize corresponding notions of graph connectivity. A theorem of Tutte on cyclically 3-connected graphs, is generalized to matroids.
openaire   +3 more sources

Oriented matroids

open access: yesJournal of Combinatorial Theory, Series B, 1978
AbstractIn this paper, the basic properties of oriented matroids are examined. A topological representation theorem for oriented matroids is proven, utilizing the notion of an “arrangement of pseudo-hemispheres”. The duality theorem of linear programming is extended to oriented matroids.
Jon Folkman, Jim Lawrence
openaire   +1 more source

Tropical Carathéodory with Matroids. [PDF]

open access: yesDiscrete Comput Geom, 2023
Loho G, Sanyal R.
europepmc   +1 more source

On products of matroids

open access: yesDiscrete Mathematics, 1981
AbstractWe show, by means of counterexamples, that products with rank rk(M)rk(N) of a matroid M by a matroid N do not exist in general, and that there is no free-est product of M by N. We prove that a canonical product of M by N (having rank rk(M)+rk(N)−1) is a free-est product in a certain (weaker) sense.
openaire   +1 more source

Rough set approximations based on a matroidal structure over three sets. [PDF]

open access: yesAppl Intell (Dordr), 2023
Wang G, Mao H, Liu C, Zhang Z, Yang L.
europepmc   +1 more source

Semi-streaming algorithms for submodular matroid intersection. [PDF]

open access: yesMath Program, 2023
Garg P, Jordan L, Svensson O.
europepmc   +1 more source

Characterizations of Convex spaces and Anti-matroids via Derived Operators

open access: yesOpen Mathematics, 2019
In this paper we use the notion of derived sets to study convex spaces. By axiomatizing the derived sets on convex spaces, we define c-derived operators and restricted c-derived operators. Results show that convex structures can be characterized in terms
Chen Fanhong, Shen Chong
doaj   +1 more source

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