LINEAR ALGEBRA METHODS IN COMBINATORICS

LINEAR ALGEBRA METHODSIN COMBINATORICSL aszl o Babai and P eter FranklVersion March 2020 Slight update of Version 2, 1992. c L aszl o Babai and P eter Frankl. 1988, 1992, perhaps to a recognition of the wide applicability of their elementary concepts andtechniques, both COMBINATORICS and LINEAR ALGEBRA have gained increased representation incollege mathematics curricula in recent combinatorial nature of the determinant expansion (and the related difficulty inteaching it) may hint at the plausibility of some link between the two areas. A more profoundconnection, the use of determinants in combinatorial enumeration goes back at least to thework of Kirchhoff in the middle of the 19th century on counting spanning trees in an is much less known, however, that quite apart from the theory of determinants, theelements of the theory of LINEAR spaces has found striking applications to the theory of familiesof finite sets.

techniques, both combinatorics and linear algebra have gained increased representation in ... Algebraic techniques not normally covered in standard courses (such as a ne subspaces, …

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  Technique, Algebraic, Combinatorics, In combinatorics, Algebraic techniques

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