ReferencesV. A. Buslov“On characteristic polynomial coefficients of the Laplace matrix of a weighted digraph and all minors theorem”, Zap. Nauchn. Sem. POMI, 2014, Volume 427,Pages 5

On characteristic polynomial coefficients of the Laplace matrix of a weighted digraph and all minors theorem
V. A. Buslov



References

1.	G. Kirchhoff, “Über Die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Ströme geführt wird”, Ann. Phys. Chem., 72 (1847), 497–508
2.	H. N. Gabow, Z. Galil, T. Spencer, R. E. Tarjan, “Efficient algorithms for finding minimum spanning trees in undirected and directed graphs”, Combinatorica, 6:2 (1986), 109–122
3.	D. Cvetkovič, M. Doob, H. Sachs, Spectra of Graphs: Theory and Application, VEB Deutscher Verlag der Wissenschlaften, Berlin, 1980
4.	V. A. Buslov, M. S. Bogdanov, V. A. Khudobakhshov, “O minimalnom ostovnom dereve dlya orgrafov s potentsialnymi vesami”, Vestnik SPbGU. Ser. 10, 2008, no. 3, 42–46
5.	A. D. Venttsel, M. I. Freidlin, Fluktuatsii v dinamicheskikh sistemakh pod deistviem malykh sluchainykh vozmuschenii, M., 1979
6.	V. A. Buslov, K. A. Makarov, “Ierarkhiya masshtabov vremeni pri maloi diffuzii”, TMF, 76:2 (1988), 219–230
7.	V. A. Buslov, K. A. Makarov, “Vremena zhizni i nizshie sobstvennye znacheniya operatora maloi diffuzii”, Mat. zametki, 51:1 (1992), 20–31
8.	A. K. Kelmans, “O svoistvakh kharakteristicheskogo mnogochlena grafa”, Kibernetiku - na sluzhbu kommunizmu, Energiya, Moskva–Leningrad, 1967, 27–41
9.	M. Fiedler, J. Sedlaček, “O $w$-basich orientirovanych grafu”, Časopis Pěst. Mat., 83 (1958), 214–225
10.	P. Yu. Chebotarëv, R. P. Agaev, Matrichnaya teorema o lesakh i laplasovskie matritsy orgrafov, LAP LAMBERT Academic Publising GmbH Co., 2011
11.	S. Chaiken, “A combinatorial proof of the all minors matrix tree theorem”, SIAM J. Algebraic Discrete Methods, 3:3 (1982), 319–329
12.	U. Tatt, Teoriya grafov, Mir, M., 1988
13.	P. Chebotarev, R. Agaev, “Forest matrices around the Laplacian matrix”, Linear Algebra and its Applications, 356 (2002), 253–274
14.	V. A. Emelichev i dr., Lektsii po teorii grafov, Nauka, M., 1990
15.	J. W. Moon, “Some determinant expansions and the matrix-tree theorem”, Discrete Mathematics, 124 (1994), 163–171