The Cullis' determinant of rectangular matrix X equals the Pfaffian of a matrix obtained from X by multiplication and transposition, enabling an efficient polynomial-time algorithm.
Minc.Permanents
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CO 2verdicts
UNVERDICTED 2representative citing papers
For n by k matrices with k >= 4, n >= k+2 and n+k odd, linear preservers of the Cullis determinant are sums of two-sided multiplications and maps sending everything to equal-row matrices.
citing papers explorer
-
The Cullis' determinant as Pfaffian
The Cullis' determinant of rectangular matrix X equals the Pfaffian of a matrix obtained from X by multiplication and transposition, enabling an efficient polynomial-time algorithm.
-
Linear maps preserving the Cullis' determinant. II
For n by k matrices with k >= 4, n >= k+2 and n+k odd, linear preservers of the Cullis determinant are sums of two-sided multiplications and maps sending everything to equal-row matrices.