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A Generalization of the Theorem on Forming a Matroid from Parts. / Lebedinskaya, N. A.; Lebedinskiǐ, D. M.; Smirnov, A. A.
в: Journal of Mathematical Sciences (United States), Том 232, № 6, 01.08.2018, стр. 921-925.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - A Generalization of the Theorem on Forming a Matroid from Parts
AU - Lebedinskaya, N. A.
AU - Lebedinskiǐ, D. M.
AU - Smirnov, A. A.
N1 - Publisher Copyright: © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2018/8/1
Y1 - 2018/8/1
N2 - The following generalization of the theorem on forming a matroid from parts is proved: If a finite set is subdivided into some blocks, each of which is supplied with a matroid structure, and the ranks of every union of certain blocks are prescribed and satisfy the conditions on the rank function of a matroid, then the rank function can be extended to all the subsets of the original set in such a way that the latter becomes a matroid.
AB - The following generalization of the theorem on forming a matroid from parts is proved: If a finite set is subdivided into some blocks, each of which is supplied with a matroid structure, and the ranks of every union of certain blocks are prescribed and satisfy the conditions on the rank function of a matroid, then the rank function can be extended to all the subsets of the original set in such a way that the latter becomes a matroid.
UR - http://www.scopus.com/inward/record.url?scp=85049103659&partnerID=8YFLogxK
U2 - 10.1007/s10958-018-3919-5
DO - 10.1007/s10958-018-3919-5
M3 - Article
AN - SCOPUS:85049103659
VL - 232
SP - 921
EP - 925
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 86574454