0506896 20240103222326.120190726235959.9 85052592985 000443306900008 10.1007/s00493-017-3534-y 20 s. P cav_un_epca*02564290209-9683384 (2018)935-954Springer Matroids Measures of information Coding theorems cav_un_auth*0101161 Matúš František Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory K Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2019/MTR/matus-0506896.pdf https://link.springer.com/article/10.1007/s00493-017-3534-y cav_un_auth*0292670 GA13-20012S GA ČR This work studies the classes of matroids that are closed under minors, addition of coloops and principal extensions. To any matroid M in such a class a matroid M° is constructed such that it contains M as a minor, has all proper minors in the class and violates Zhang- Yeung inequality. When the class enjoys the inequality the matroid M° becomes an excluded minor. An analogous assertion was known before for the linear matroids over any infinite field in connection with Ingleton inequality. The result is applied to the classes of multilinear, algebraic and almost entropic matroids. In particular, the class of almost entropic matroids has infinitely many excluded minors. WOS BA 10000 10100 10101 2020 4 A hod 4ah 20231122144138.8 RVO:67985556 http://hdl.handle.net/11104/0298024 1 Department of Decision Making Theory UTIA-B 10103 STATISTICS & PROBABILITY S n.a. Article Mathematics C MATHEMATICS 1.247 0.459 23.3 0.00407 1.658 1881 1.733 1.132 61 Q1 91.052 77.9 Q1* Q1* 1.4 Q1 77.866 2018 Soubory v repozitáři: matus-0506896.pdf 85052592985 SCOPUS PUBMED 000443306900008 WOS cav_un_epca*0256429 Combinatorica 0209-9683 1439-6912 Roč. 38 č. 4 2018 935 954 Springer