The integral root properties of the Laplacian matching polynomials
The Laplacian matching polynomial of a graph is a new graph polynomial,proposed by Mohammadian in 2020,contains matching information of a graph along with its degree information.A graph is called Laplacian matching integral if all roots of its Laplacian matching polynomial are integer.It is studied that some integral root properties of Laplacian matching polynomials,and identifies several graph classes which contain no Laplacian matching integral graph.
matchingLaplacian matching polynomialsLaplacian matching integral graph
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