Bravo, Diego; Rada, Juan Nonderogatory unicyclic digraphs. (English) Zbl 1139.05026 Int. J. Math. Math. Sci. 2007, Article ID 46851, 8 p. (2007). Summary: A digraph is nonderogatory if its characteristic polynomial and minimal polynomial are equal. We find a characterization of nonderogatory unicyclic digraphs in terms of Hamiltonicity conditions. An immediate consequence of this characterization ia that the complete product of difans and diwheels is nonderogatory. Cited in 1 Document MSC: 05C20 Directed graphs (digraphs), tournaments Keywords:digraph; nonderogatory; characteristic polynomial; minimal polynomial PDFBibTeX XMLCite \textit{D. Bravo} and \textit{J. Rada}, Int. J. Math. Math. Sci. 2007, Article ID 46851, 8 p. (2007; Zbl 1139.05026) Full Text: DOI EuDML References: [1] A. Mowshowitz, “Graphs, groups and matrices,” in Proceedings of the 25th Summer Meeting of the Canadian Mathematical Congress, pp. 509-522, Lakehead University, Thunder Bay, Ont, Canada, 1971. · Zbl 0323.05117 [2] D. M. Cvetković, M. Doob, and H. Sachs, Spectra of Graphs, vol. 87 of Pure and Applied Mathematics, Academic Press, New York, NY, USA, 1980. · Zbl 0458.05042 [3] C. S. Gan and V. C. Koo, “On annihilating uniqueness of directed windmills,” in Proceedings of the 7th Asian Technology Conference in Mathematics (ATCM ’02), Melaka, Malaysia, December 2002. [4] C. S. Gan, “The complete product of annihilatingly unique digraphs,” International Journal of Mathematics and Mathematical Sciences, vol. 2005, no. 9, pp. 1327-1331, 2005. · Zbl 1076.05040 [5] K. S. Lam, On digraphs with unique annihilating polynomial, Ph.D. thesis, University of Malaya, Kuala Lumpur, Malaysia, 1990. [6] C.-K. Lim and K. S. Lam, “The characteristic polynomial of ladder digraph and an annihilating uniqueness theorem,” Discrete Mathematics, vol. 151, no. 1-3, pp. 161-167, 1996. · Zbl 0853.05055 [7] J. Rada, “Non-derogatory directed windmills,” in preparation. [8] D. Bravo and J. Rada, “Coalescence of difans and diwheels,” to appear in Bulletin of the Malaysian Mathematical Sciences Society. · Zbl 1141.05048 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.