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Epilogue and References
Abstract not available -
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Cohomology-developed matrices: constructing families of weighing matrices and automorphism actions
The aim of this work is to construct families of weighing matrices via their automorphism group action. The matrices can be reconstructed from the...
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A local approach to stability groups
In this short note we prove a local version of Philip Hall’s theorem on the nilpotency of the stability group of a chain of subgroups by only using...
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Higher Bruhat orders of types B and C
We propose versions of higher Bruhat orders for types B and C . This is based on a theory of higher Bruhat orders of type A and their geometric...
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Nowhere-zero 3-flows in nilpotently vertex-transitive graphs
We prove that every regular graph of valency at least four whose automorphism group contains a nilpotent subgroup acting transitively on the vertex...
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Construction of cospectral graphs, signed graphs and \({\mathbb {T}}\)-gain graphs via partial transpose
In the wake of Dutta and Adhikari, who in 2020 used partial transposition in order to get pairs of cospectral graphs, we investigate partial...
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Counting and signed counting permutations by descent-based statistics
The original motivation of this paper was to find the context-free grammar for the joint distribution of peaks and valleys on permutations. Although...
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The cyclic flats of a q-matroid
In this paper we develop the theory of cyclic flats of q -matroids. We show that the cyclic flats, together with their ranks, uniquely determine a q -ma...