TY  - JOUR
A1  - Ferroni, Luis
A1  - Schröter, Benjamin Frederik
T1  - The Merino–Welsh Conjecture for Split Matroids
T2  - Annals of combinatorics
N2  - In 1999, Merino and Welsh conjectured that evaluations of the Tutte polynomial of a graph satisfy an inequality. In this short article, we show that the conjecture generalized to matroids holds for the large class of all split matroids by exploiting the structure of their lattice of cyclic flats. This class of matroids strictly contains all paving and copaving matroids.
Y1  - 2022
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/79415
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-794156
VL  - 27.2023
SP  - 737
EP  - 748
PB  - Springer
ER  -