Nullity Invariance for Pivot and the Interlace Polynomial
classification
💻 cs.DM
math.CO
keywords
interlacenullitypivotpolynomialprincipalconsequencesconsiderdescribed
read the original abstract
We show that the effect of principal pivot transform on the nullity values of the principal submatrices of a given (square) matrix is described by the symmetric difference operator (for sets). We consider its consequences for graphs, and in particular generalize the recursive relation of the interlace polynomial and simplify its proof.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.