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Structural characterizations of stability of signed digraphs under pulse processes

  • Part III: Contributed Papers New Results On Graphs And Combinatorics
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Graphs and Combinatorics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 406))

Abstract

The notion of a pulse process on a signed digraph arose in connection with studies of energy demand and other societal problems. Two notions of stability of a signed digraph D under a pulse process, pulse and value stability, have been characterized in terms of the eigenspace of the transpose of the signed adjacency matrix of D. In this paper, conditions for stability stated in terms of the structure of the signed digraph are studied.

This research was supported by NSF Grants GI-34895 and GI-44

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References

  1. Brown, T. A., and Roberts, F. S., "Pulse Processes on Weighted Digraphs," to appear.

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  5. Roberts, F. S., "Signed Digraphs and the Growing Demand for Energy," Environment and Planning 3 (1971), 395–410.

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Ruth A. Bari Frank Harary

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© 1974 Springer-Verlag Berlin

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Roberts, F.S. (1974). Structural characterizations of stability of signed digraphs under pulse processes. In: Bari, R.A., Harary, F. (eds) Graphs and Combinatorics. Lecture Notes in Mathematics, vol 406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066455

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  • DOI: https://doi.org/10.1007/BFb0066455

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06854-9

  • Online ISBN: 978-3-540-37809-9

  • eBook Packages: Springer Book Archive

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