Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک ایرانیان
IJMSI
Basic Sciences
http://ijmsi.ir
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admin
1735-4463
2008-9473
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8888
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jalali
1386
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gregorian
2007
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A NOTE ON THE EQUISEPARABLE TREES
عمومى
General
پژوهشي
Research paper
<p>Let T be a tree and n_{l}(eIT) and n_{2}(eIT) denote the number of vertices of T, lying on the two sides of the edge e. Suppose T_{l} and T_{2} are two trees with equal number of vertices, e in T_{1} and f in T_{2}. The edges e and f are said to be equiseparable if either n_{l}(eIT_{I}) = n_{l}(fIT_{2}) or n_{l}(eIT_{I}) = n_{2}(fIT_{2}). If there is an one-to-one correspondence between the vertices of T_{l} and T_{2} such that the corresponding edges are equisep arable, then T_{ }and T_{2} are called equiseparable trees. Recently, Gutman, Arsic and Furtula investigated some equiseparable alkanes and obtained some useful rules (see J. Serb. Chem. Soc. (68)7 (2003), 549-555). In this paper, we use a combinatorial argument to find an equivalent def inition 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.</p>
Equiseparable trees, Alkanes, Partitions.
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http://ijmsi.ir/browse.php?a_code=A-10-1-25&slc_lang=en&sid=1
A. R. Ashrafi
`10031947532846002039`

10031947532846002039
Yes
S. Yousefi
`10031947532846002040`

10031947532846002040
No