Results 101 to 110 of about 335 (183)

On a matroid identity

open access: yesDiscrete Mathematics, 1983
AbstractThe purpose of this note is to prove an identity for generalized Tutte-Grothendieck invariants, at least two special cases of which have already proved to be of considerable use. In addition, one of these special cases is used to strengthen results of Lindström on the critical exponent of a representable matroid and the chromatic number of a ...
openaire   +2 more sources

Matroid psi classes. [PDF]

open access: yesSel Math New Ser, 2022
Dastidar J, Ross D.
europepmc   +1 more source

The matroid of a graphing

open access: yesJournal of Combinatorial Theory, Series B
Graphings serve as limit objects for bounded-degree graphs. We define the ``cycle matroid'' of a graphing as a submodular setfunction, with values in [0,1], which generalizes (up to normalization) the cycle matroid of finite graphs. We prove that for a Benjamini--Schramm convergent sequence of graphs, the total rank, normalized by the number of nodes ...
openaire   +2 more sources

Orthogonal matroids over tracts

open access: yesForum of Mathematics, Sigma
We generalize Baker–Bowler’s theory of matroids over tracts to orthogonal matroids, define orthogonal matroids with coefficients in tracts in terms of Wick functions, orthogonal signatures, circuit sets and orthogonal vector sets, and establish basic ...
Tong Jin, Donggyu Kim
doaj   +1 more source

Tropical ideals do not realise all Bergman fans. [PDF]

open access: yesRes Math Sci, 2021
Draisma J, Rincón F.
europepmc   +1 more source

Elliptic arrangements of complex multiplication type

open access: yesForum of Mathematics, Sigma
We provide a natural definition of an elliptic arrangement, extending the classical framework to an elliptic curve $\mathcal {E}$ with complex multiplication.
Luca Moci   +3 more
doaj   +1 more source

Matroid bases with cardinality constraints on the intersection. [PDF]

open access: yesMath Program, 2022
Lendl S, Peis B, Timmermans V.
europepmc   +1 more source

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