Geodesic
Determination of Large Families and Diameter of Equiseparable Trees
Publications de l'Institut Mathématique, _N_S_79 (2006) no. 93, p. 29 .

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We consider the problem of determining all the members of an arbitrary family of equiseparable trees. We introduce the concept of saturation (based on the number partitions). After that, we use the same concept to obtain the least upper bound for the difference in the diameters of two equiseparable trees with m edges. We prove that this bound is equal to $(m-4)/3$, where $m$ is the size of trees.
DOI : 10.2298/PIM0693029S
Classification : 05C05 11P81
Keywords: equiseparable tree, saturation, number partition, diameter 
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     author = {Zoran Stani\'c},
     title = {Determination of {Large} {Families} and {Diameter} of {Equiseparable} {Trees}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {29 },
     publisher = {mathdoc},
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Zoran Stanić. Determination of Large Families and Diameter of Equiseparable Trees. Publications de l'Institut Mathématique, _N_S_79 (2006) no. 93, p. 29 . doi : 10.2298/PIM0693029S. http://geodesic.mathdoc.fr/articles/10.2298/PIM0693029S/

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