Permanental polynomials of graphs |
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| Authors: | Russell Merris Kenneth R Rebman William Watkins |
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| Institution: | Department of Mathematics California State University, Hayward Hayward, California 94542, USA;Department of Mathematics California State University, Hayward Hayward, California 94542, USA;Department of Mathematics California State University, Northridge Northridge, California 91330, USA |
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| Abstract: | The first section surveys recent results on the permanental polynomial of a square matrix A, i.e., per(xI – A). The second section concerns the permanental polynomial of the adjacency matrix of a graph. The final section is an introduction to the permanental polynomial of the Laplacian matrix of a graph. An appendix lists some of these latter polynomials. |
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