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Title: Cover matrices of posets and their spectra (English)
Author: Anđelić, Milica
Author: da Fonseca, C. M.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 59
Issue: 4
Year: 2009
Pages: 1077-1085
Summary lang: English
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Category: math
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Summary: We analyze the spectra of the cover matrix of a given poset. Some consequences on the multiplicities are provided. (English)
Keyword: poset
Keyword: Boolean algebra
Keyword: cover matrix
Keyword: spectra
Keyword: multiplicities
MSC: 05C50
idZBL: Zbl 1224.05292
idMR: MR2563578
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Date available: 2010-07-20T16:02:42Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/140537
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Reference: [1] Alon, N.: Eigenvalues and expanders.Combinatorica 6 (1986), 83-96. Zbl 0661.05053, MR 0875835, 10.1007/BF02579166
Reference: [2] Ballantine, C. M., Frechette, S. M., Little, J. B.: Determinants associated to zeta matrices of posets.Linear Algebra Appl. 411 (2005), 364-370. Zbl 1083.15009, MR 2178697
Reference: [3] Chihara, T. S.: An Introduction to Orthogonal Polynomials.Gordon and Breach, New York (1978). Zbl 0389.33008, MR 0481884
Reference: [4] Conflitti, A.: Boolean algebras and spectrum.Carpathian J. Math. 24 (2008), 20-25. Zbl 1174.05074, MR 2484400
Reference: [5] Fonseca, C. M. da: On the location of the eigenvalues of Jacobi matrices.Appl. Math. Lett. 19 (2006), 1168-1174. Zbl 1176.15027, MR 2250353, 10.1016/j.aml.2005.11.029
Reference: [6] Horn, R. A., Johnson, C. R.: Matrix Analysis.Cambridge University Press (1985). Zbl 0576.15001, MR 0832183
Reference: [7] Krattenthaler, C.: Advanced determinant calculus.Sém. Lothar. Combin. 42 (1999), Art.B42q. Zbl 0923.05007, MR 1701596
Reference: [8] Krattenthaler, C.: Advanced determinant calculus: a complement.Linear Algebra Appl. 411 (2005), 68-166. Zbl 1079.05008, MR 2178686
Reference: [9] Chen, Z.: Spectra of extended double cover graphs.Czech. Math. J. 54 (2004), 1077-1082. Zbl 1080.05516, MR 2100015, 10.1007/s10587-004-6452-2
Reference: [10] Neggers, J., Kim, H. S.: Basic Posets.World Scientific, Singapore (1998). Zbl 0928.06001, MR 1692854
Reference: [11] Ng, S. L.: Posets and protocols---picking the right three-party protocol.IEEE J. Sel. Areas Comm. 21 (2003), 55-61. 10.1109/JSAC.2002.806126
Reference: [12] Stanley, R.: Enumerative Combinatorics, Vol. 1, 2nd ed.Cambridge University Press, Cambridge (1997). Zbl 0889.05001, MR 1442260
Reference: [13] Trotter, W. T.: Combinatorics and Partially Ordered Sets.Johns Hopkins University Press, Baltimore (1992). Zbl 0764.05001, MR 1169299
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