Permanent analogues of determinantal identities related to permutation fixed-points |
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Authors: | Ho S. Hong |
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Affiliation: | a Department of Computer Science and Engineering, University of California at San Diego, La Jolla, CA |
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Abstract: | We present permanent analogues of a determinantal identity due to A. Cayley and a formula computing the determinant of so-called zero-axial matrices, for both the generic commuting and noncommuting cases. The Cayley theorem and its permanental versions are derived using combinatorial interpretation of a classical binomial identity The Theorems concerning zero-axial matrices are gotten by the principle of inclusion-exclusion. |
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