On the Roots of (Signless) Laplacian Permanental Polynomials of Graphs

Author:

Wu TingzengORCID,Zeng Xiaolin,Lü Huazhong

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference25 articles.

1. Bapat, R.B.: A bound for the permanent of the Laplacian matrix. Linear Algebra Appl. 74, 219–223 (1986)

2. Borowiecki, M., Jóźwiak, T.: A note on charicteristic and permanental polynomials of multigraphs. In: Borowiecki, M., Kennedy, J.W., Syslo, M.M. (eds.) Graph Theory, pp. 75–78. Springer, Berlin (1983)

3. Brualdi, R.A., Goldwasser, J.L.: Permanent of the Laplacian matrix of trees and bipartite graphs. Discrete Math. 48, 1–21 (1984)

4. Cash, G.G., Gutman, I.: The Laplacian permanental polynomial: formulas and algorithms. MATCH Commun. Math. Comput. Chem. 51, 129–136 (2004)

5. Cvetković, D.M., Doob, M., Sachs, H.: Spectra of Graphs, 3rd ed., Johann Abrosius Barth Verlag, 1995, 1st edition: Deutscher Verlag der Wissenschaften, Berlin, 1980; Academic Press, New York (1980)

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