Linear Algebraic Relations among Cardinalities of Sets of Matroid Functions

نویسندگان

چکیده

We introduce a unifying approach for invariants of finite matroids that count mappings to set. The aim this paper is show if the cardinalities with fixed values on restricted set satisfy contraction–deletion rules, then there relation among them can be expressed in terms linear algebra. In way, we study regular chain groups, nowhere-zero flows and tensions graphs, acyclic totally cyclic orientations oriented graphs.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11112570