SOME ENUMERATION PROBLEMS ON t-ARY TREES AND ORDERED TREES

SUN CHAO-YI

Journal of Systems Science and Mathematical Sciences ›› 1987, Vol. 7 ›› Issue (1) : 72-077.

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PDF(211 KB)
Journal of Systems Science and Mathematical Sciences ›› 1987, Vol. 7 ›› Issue (1) : 72-077. DOI: 10.12341/jssms08804
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SOME ENUMERATION PROBLEMS ON t-ARY TREES AND ORDERED TREES

  • SUN CHAO-YI
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Abstract

Several formulae are established to calculate (i) the number of trees in the class Γ(t;n,n_(e_0),…,n_(e_p)) of t-ary trees with n_(e_0) nodes of degree e_0,n_(e_1) nodes of degree e_1,…,n_(e_p) nodes of degree e_p and n-(n_(e_0)+…+n_(e_p))nodes of other degrees,(ii) the numberof trees in F(t;n,n_(e_0),…,n_(e_p))with root node of degree r,(iii) the number of trees in the class \Omega(n,n_(e_0),…,n_(e_p)) of ordered trees with the same node restrication as (1),and (iv) the number of trees in \Omega(n,n_(e_0),…,n_(e_p)) with root node of degree r.

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SUN CHAO-YI. SOME ENUMERATION PROBLEMS ON t-ARY TREES AND ORDERED TREES. Journal of Systems Science and Mathematical Sciences, 1987, 7(1): 72-077 https://doi.org/10.12341/jssms08804
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