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    題名: Spanning trees on hypercubic lattices and non-orientable surfaces
    作者: 曾文哲;Tzeng, Wen-jer;Wu, F. Y.
    貢獻者: 淡江大學物理學系
    關鍵詞: Spanning trees;Hypercubic lattices;Möbius strip;Klein bottle
    日期: 2000-10
    上傳時間: 2009-12-31 10:09:46 (UTC+8)
    出版者: Elsevier
    摘要: We consider the problem of enumerating spanning trees on lattices. Closed-form expressions are obtained for the spanning tree generating function for a hypercubic lattice in d dimensions under free, periodic, and a combination of free and periodic boundary conditions. Results are also obtained for a simple quartic net embedded on two nonorientable surfaces, a Möbius strip and the Klein bottle. Our results are based on the use of a formula expressing the spanning tree generating function in terms of the eigenvalues of an associated tree matrix. An elementary derivation of this formula is given.
    關聯: Applied mathematics letters 13(7), pp.19-25
    DOI: 10.1016/S0893-9659(00)00071-9
    顯示於類別:[物理學系暨研究所] 期刊論文

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