The Permanental Polynomials of Certain Graphs

In this paper we consider the com putation of per manental polynomials of some graphs. By orienting even cycles oddly, explicit expressions for the permanental polynomials of some basic graphs including a path and a cycle are obtained in terms of roots. For hexagonal systems, based on reduction procedures, the permanental polynomials of hexagonal chains and a type of pericondensed hexagonal system are deduced from product of matrices of order 5. Meanwhile, the permanental polynomial of a general polygonal chain is also derived.

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