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Graph Theory and Applications pp 1–12Cite as

Tripartite graphs to analyze the interconnection of networks

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 303))

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References

  1. W. N. Anderson, Jr. and R. J. Duffin, Series and parallel addition of matrices, J. Math. Anal. Appl. 26 (1969), 576–594.

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  2. W. N. Anderson, Jr., R. J. Duffin, and G. Trapp, Incidence matrix concepts for the analysis of the interconnections of networks, TR-71-27, University of Maryland, July 9, 1971.

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  3. R. J. Duffin, Topology of series-parallel networks, J. Math. Anal. Appl. 10 (1965), 303–318.

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  4. R. J. Duffin, D. Hazony, and N. Morrison, Network synthesis through hybrid matrices, SIAM J. Appl. Math. 14 (1966), 390–413.

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  5. R. J. Duffin and G. Trapp, Hybrid addition of matrices — a network theory concept, J. Applicable Analysis, to appear.

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  6. L. Huelsman, Circuits, Matrices, and Linear Vector Spaces, McGraw-Hill, New York, 1963.

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  7. G. Minty, On the axiomatic foundations of the theories of directed linear graphs, electrical networks, and network programming, J. Math. Mech. 15 (1966), 485–520.

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  8. J. Riordan and C. E. Shannon, The number of two-terminal series-parallel networks, J. Math. Phys. 21 (1942), 83–93.

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  9. G. Trapp, Operator Algebra Related to Network Theory, Ph.D. Dissertation, Carnegie-Mellon University, Pittsburgh, 1970.

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Author information

Authors and Affiliations

  1. University of Maryland, 20742, College Park, MD

    William N. Anderson Jr.

  2. Carnegie-Mellon University, 15213, Pittsburgh, PA

    Richard J. Duffin

  3. West Virginia University, 26505, Morgantown, WV

    George E. Trapp

Authors
  1. William N. Anderson Jr.
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  2. Richard J. Duffin
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  3. George E. Trapp
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Editor information

Y. Alavi D. R. Lick A. T. White

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© 1972 Springer-Verlag

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Anderson, W.N., Duffin, R.J., Trapp, G.E. (1972). Tripartite graphs to analyze the interconnection of networks. In: Alavi, Y., Lick, D.R., White, A.T. (eds) Graph Theory and Applications. Lecture Notes in Mathematics, vol 303. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067351

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  • DOI: https://doi.org/10.1007/BFb0067351

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06096-3

  • Online ISBN: 978-3-540-38114-3

  • eBook Packages: Springer Book Archive

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