Add to ORKGWe summarize and present recent results in the field of infinite matroid theory. We define and prove basic properties of infinite matroids and we discuss known classes of examples of these structures. We focus on the topic of connectivity of infinite matroids and we link some matroid properties to connectivity. The main result of this work is the proof of existence of infinite matroids with arbitrary finite connectivity, but without finite circuits or cocircuits. Powered by TCPDF (www.tcpdf.org
We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answ...
We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answ...
We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answ...
We summarize and present recent results in the field of infinite matroid theory. We define and prove...
AbstractWe introduce a connectivity function for infinite matroids with properties similar to the co...
We introduce a connectivity function for infinite matroids with prop-erties similar to the connectiv...
AbstractWe introduce a connectivity function for infinite matroids with properties similar to the co...
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, includ...
We relate matroid connectivity to Tutte-connectivity in an infinite graph. Moreover, we show that th...
It has recently been shown that infinite matroids can be axiomatized in a way that is very similar t...
Solving a problem of Diestel and Pott, we construct a large class of infinite matroids. These can be...
AbstractIt has recently been shown that infinite matroids can be axiomatized in a way that is very s...
AbstractA matroidal family C is defined to be a collection of graphs such that, for any given graph ...
We prove that the topological cycles of an arbitrary infinite graph together with its topological en...
We give axiomatic foundations for infinite matroids with duality, in terms of independent sets, base...
We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answ...
We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answ...
We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answ...
We summarize and present recent results in the field of infinite matroid theory. We define and prove...
AbstractWe introduce a connectivity function for infinite matroids with properties similar to the co...
We introduce a connectivity function for infinite matroids with prop-erties similar to the connectiv...
AbstractWe introduce a connectivity function for infinite matroids with properties similar to the co...
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, includ...
We relate matroid connectivity to Tutte-connectivity in an infinite graph. Moreover, we show that th...
It has recently been shown that infinite matroids can be axiomatized in a way that is very similar t...
Solving a problem of Diestel and Pott, we construct a large class of infinite matroids. These can be...
AbstractIt has recently been shown that infinite matroids can be axiomatized in a way that is very s...
AbstractA matroidal family C is defined to be a collection of graphs such that, for any given graph ...
We prove that the topological cycles of an arbitrary infinite graph together with its topological en...
We give axiomatic foundations for infinite matroids with duality, in terms of independent sets, base...
We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answ...
We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answ...
We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answ...