41 citations · 224 across the 20 of their papers we have counts for
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cs.DM2009★ 11 cited
Nullity Invariance for Pivot and the Interlace Polynomial
Robert Brijder, Hendrik Jan Hoogeboom
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…
cs.DM2009★ 41 cited
The Group Structure of Pivot and Loop Complementation on Graphs and Set Systems
Robert Brijder, Hendrik Jan Hoogeboom
We study the interplay between principal pivot transform (pivot) and loop complementation for graphs. This is done by generalizing loop complementation (in addition to pivot) to se…
math.CO2009★ 11 cited
Maximal Pivots on Graphs with an Application to Gene Assembly
Robert Brijder, Hendrik Jan Hoogeboom
We consider principal pivot transform (pivot) on graphs. We define a natural variant of this operation, called dual pivot, and show that both the kernel and the set of maximally ap…