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Generation and ranking of K-ary trees

โœ Scribed by Shmuel Zaks


Book ID
113162513
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
525 KB
Volume
14
Category
Article
ISSN
0020-0190

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๐Ÿ“œ SIMILAR VOLUMES


Shifts and loopless generation of k-ary
โœ James F. Korsh; Seymour Lipschutz ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 388 KB

A new shift operation on nodes of k-ary trees which preserves preorder node numbers is introduced. The shift graph SG,,k has as vertices all n-node k-ary trees and edges corresponding to one shift. The graph is proven to have a Hamiltonian path and an algorithm is presented which generates all n-nod

Bandwidth of the complete k-ary tree
โœ Lawren Smithline ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 524 KB

We determine, constructively, the bandwidth of the complete k-ary tree on d levels. By rectifying an algorithm of Chung (1988), we establish B( Tk,J = rk(kd -1)/(2d( k -1)) 1. ## 1. Praeludium The bandwidth problem for a graph G is a question about numbering the vertices of G so the maximum differ

Generalized vertex-rankings of trees
โœ Xiao Zhou; Nobuaki Nagai; Takao Nishizeki ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 622 KB
Onk-ary spanning trees of tournaments
โœ Lu, Xiaoyun; Wang, Da-Wei; Chang, Gerard J.; Lin, In-Jen; Wong, C. K. ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 114 KB

It is well known that every tournament contains a Hamiltonian path, which can be restated as that every tournament contains a unary spanning tree. The purpose of this article is to study the general problem of whether a tournament contains a k-ary spanning tree. In particular, we prove that, for any