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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Enumeration of forests in a graph
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by C. J. Liu and Yutze Chow
Proc. Amer. Math. Soc. 83 (1981), 659-662
DOI: https://doi.org/10.1090/S0002-9939-1981-0627715-2
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Abstract:

The enumeration of forests of different orders in a graph is carried out by a procedure that involves formal sums and certain annihilation operators on the space of such sums. The results here extend the well-known matrix-tree theorem to the general case of forests.
References
    C. J. Liu and Yutze Chow, Enumeration of connected spanning subgraphs of a planar theory, Acta Math. (to appear).
  • Frank Harary, Graph theory, Addison-Wesley Publishing Co., Reading, Mass.-Menlo Park, Calif.-London 1969. MR 0256911
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Bibliographic Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 83 (1981), 659-662
  • MSC: Primary 05C30; Secondary 05C05
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0627715-2
  • MathSciNet review: 627715