๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The gracefulness of a class of lobster trees

โœ Scribed by J.-G. Wang; D.-J. Jin; X.-G. Lu; D. Zhang


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
393 KB
Volume
20
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The subdivision graph of a graceful tree
โœ M. Burzio; G. Ferrarese ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

Koh, Rogers and Tan (Discrete Math. 25 (1979) [141][142][143][144][145][146][147][148] give a method to construct a bigger graceful tree from two graceful trees. Based upon their results, we give a new construction, which allows us to prove that the subdivision graph of a graceful tree is still a gr

The joint sum of graceful trees
โœ De-Jun Jin; Si-Zhang Liu; Sang-Ho Lee; Hai-Lou Liu; Xi-Guan Lu; Dazhi Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 300 KB

In this and subsequent articles, we intend to explore Rosa's conjecture that every tree is graceful [l]. We define the concept of joint sum of graceful trees and study its operational properties. We shall prove the gracefulness of a certain family of trees. ## Keywords-tisak conjecture, Graceful

The radical product of graceful trees
โœ Si-Zhang Liu; De-Jun Jin; Sang-Ho Lee; Hai-Lou Liu; Xi-Guan Lu; Dazhi Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 354 KB
A class of full Steiner minimal trees
โœ F.K. Hwang; Jia Feng Weng; Ding Zhu Du ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 559 KB

Steiner minimal tree for a given set of points in the plane is a tree which interconnects these points using Eines of shortest possible total length. We construct an infinite class of trees which are the unique full Steiner minimal trees for their sets of endpoints (vertices of degree one).