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On the Algebraic Structure of Rooted Trees

In: Selected Papers

Author

Listed:
  • Calvin C. Elgot

    (IBM T. J. Watson Research Center, Mathematical Sciences Department)

  • Stephen L. Bloom

    (Stevens Institute of Technology, Department of Mathematics)

  • Ralph Tindell

    (Stevens Institute of Technology, Department of Mathematics)

Abstract

Many kinds of phenomena are studied with the aid of (rooted) digraphs such as those indicated by Figs. 1.1 and 1.2. Figure 1.1 Figure 1.2 The two digraphs, while different, usually represent the same phenomenon, say, the same “computational process.” Our interest in rooted trees stems from the fact that these two digraphs “unfold” into the SAME infinite tree. In some cases at least it is also true that different (i.e. non-isomorphic) trees represent different phenomena (of the same kind). In these cases the unfolding (i.e. the trees) are surrogates for the phenomena.

Suggested Citation

  • Calvin C. Elgot & Stephen L. Bloom & Ralph Tindell, 1978. "On the Algebraic Structure of Rooted Trees," Springer Books, in: Stephen L. Bloom (ed.), Selected Papers, pages 236-273, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8177-8_7
    DOI: 10.1007/978-1-4613-8177-8_7
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