Generalized Kato linear relations

Linear Relations for a Generalized Tutte Polynomial

Brylawski proved the coefficients of the Tutte polynomial of a matroid satisfy a set of linear relations. We extend these relations to a generalization of the Tutte polynomial that includes greedoids and antimatroids. This leads to families of new identities for antimatroids, including trees, posets, chordal graphs and finite point sets in Rn. It also gives a “new” linear relation for matroids ...

Generalized Uncertainty Relations:

Relations on generalized degree sequences

We study degree sequences for simplicial posets and polyhedral complexes, generalizing the well-studied graphical degree sequences. Here we extend the more common generalization of vertex-to-facet degree sequences by considering arbitrary face-to-flag degree sequences. In particular, these may be viewed as natural refinements of the flag f -vector of the poset. We investigate properties and rel...

Generalized Rough Sets and Relations

In this paper, we introduce the notions of generalized upper (lower) approximations, generalized upper (lower) bounded operations and various operations. We investigate their properties. Mathematics Subject Classification: 03B52, 03B70, 03G25

Linear and Generalized Linear Phase

In many applications, it is desirable to design filters that affect the magnitude of the Fourier transform of the input in some way – for example, by attenuating certain frequency components, while affecting the phase as little as possible. Unfortunately, for causal systems, it is not possible to achieve zero phase. Instead, as a design goal, we can try to make the phase as close to linear as p...