Results 81 to 90 of about 4,003 (147)

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

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

Powerful Sets: a Generalisation of Binary Matroids

open access: yesThe Electronic Journal of Combinatorics, 2018
A set $S\subseteq\{0,1\}^E$ of binary vectors, with positions indexed by $E$, is said to be a powerful code if, for all $X\subseteq E$, the number of vectors in $S$ that are zero in the positions indexed by $X$ is a power of 2.  By treating binary vectors as characteristic vectors of subsets of $E$, we say that a set $S\subseteq2^E$ of subsets of $E ...
Farr, Graham E., Wang, Andrew Y. Z.
openaire   +3 more sources

Generation of all randomizations using circuits. [PDF]

open access: yesAnn Inst Stat Math, 2023
Pesce E   +3 more
europepmc   +1 more source

Separating cocircuits in binary matroids

open access: yesLinear Algebra and its Applications, 1982
AbstractA cocircuit of a matroid is separating if deleting it leaves a separable matroid. We give an effecient algorithm which finds a separating cocircuit or a Fano minor in a binary matroid, thus proving constructively a theorem of Tutte. Using this algorithm and a new recursive characterization of bond matroids, we give a new method for testing ...
openaire   +2 more sources

Note on binary simplicial matroids

open access: yesDiscrete Mathematics, 1984
Binary simplicial matroids are characterized among binary matroids. Using lemma 2: ''A binary simplicial matroid has a base whose associated fundamental hypergraph is isomorphic to a simplicial hypergraph.'', and a previous characterization of simplicial hypergraphs.
openaire   +1 more source

Flip Distances Between Graph Orientations. [PDF]

open access: yesAlgorithmica, 2021
Aichholzer O   +6 more
europepmc   +1 more source

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