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Information Journal Paper

Title

A NOTE ON THE EQUISEPARABLE TREES

Pages

  15-20

Abstract

 Let T be a tree and n1(e½T) and n2(e½T) denote the number of vertices of T, lying on the two sides of the edge e. Suppose T1 and T2 are two trees with equal number of vertices, e Î T1 and f Î T2. The edges e and f are said to be equiseparable if either n1(e½T1) = n1(f½T2) or n1(e½T2) = n2(f½T2). If there is an one-to-one correspondence between the vertices of Tl and Tz such that the corresponding edges are equiseparable, then T1 and T2 are called EQUISEPARABLE TREES. Recently, Gutman, Arsic and Furtula investigated some equiseparable ALKANES and obtained some useful rules (see J. Serb. Chern. Soc. (68)7 (2003), 549-555). In this paper, we use a combinatorial argument to find an equivalent definition for equiseparability and then prove some results about relation of equiseparability and isomorphism of trees. We also obtain an exact expression for the number of distinct ALKANES on n vertices which three of them has degree one.

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    APA: Copy

    ASHRAFI, A.R., & YOUSEFI, SHAHRAM. (2007). A NOTE ON THE EQUISEPARABLE TREES. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 2(1), 15-20. SID. https://sid.ir/paper/310303/en

    Vancouver: Copy

    ASHRAFI A.R., YOUSEFI SHAHRAM. A NOTE ON THE EQUISEPARABLE TREES. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2007;2(1):15-20. Available from: https://sid.ir/paper/310303/en

    IEEE: Copy

    A.R. ASHRAFI, and SHAHRAM YOUSEFI, “A NOTE ON THE EQUISEPARABLE TREES,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 2, no. 1, pp. 15–20, 2007, [Online]. Available: https://sid.ir/paper/310303/en

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