In this paper, some properties of the Laplacian permanental polynomials of graphs are given. First, we provide a formula to evaluate the coefficients of the Laplacian permanental polynomial. Following this, we derive some interesting derivative properties of the Laplacian permanental polynomial. In addition, the recursive relations on the Laplacian permanental coefficients of some subdivision graphs are deduced.
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Article type
Year
Open Access
Research Article
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AIMS Mathematics 2025, 10(10): 24317-24328
Published: 24 October 2025
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