R. Grone and R. Merris, Algebraic connectivity of trees, Czech. Math. J. 37 (1987), 660-670. The research of both authors was supported by ONR contract 85K0335. Math Reviews 89a:05053.

Extending work began in publication 73, this article explores the nature and number of active and passive branches at the characteristic vertex of a Type 1 tree. Among the publications citing the paper are

  • M. Fiedler, Linear & Multilinear Algebra 26 (1990), 85-106.
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  • D. M. Cvetkovic, M. Doob, and H. Sachs, Spectra of Graphs, 3rd ed., Johann Ambrosius Barth Verlag, 1995.
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  • S. Kirkland, M. Neumann, and B. L. Shader, SIAM J. Matrix Anal. Appl. 18 (1997), 827-841.
  • S. Kirkland and S. Fallat, Linear & Multilinear Algebra 44 (1998), 131-148.
  • S. Fallat and S. Kirkland, Electronic J. Linear Algebra 3 (1998), 48-74.
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  • S. Kirkland, Czech. Math. J. 49 (1999), 617-632.
  • J. J. Molitierno, M. Neumann, and B. L. Shader, Electronic J. Linear Algebra 6 (2000), 62-71.
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  • S. Pati, Electronic J. Linear Algebra 8 (2001), 128-139.
  • S. M. Fallat, S. Kirkland, and S. Pati, Discrete Math 254 (2002), 115-142.
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  • S. M. Fallat, S. Kirkland, and S. Pati, Linear & Multilinear Algebra 51 (2003), 221-241.
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  • D. Barash, Bioinformatics 20 (2004), 1861-1869.
  • Mei Lu, Huiqing Liu, and Feng Tian, Linear Algebra Appl. 402 (2005), 390-396.