๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Codifying trees and multitrees of a complete graph

โœ Scribed by Wai-Kai Chen

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
739 KB
Volume
293
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

โœฆ Synopsis

Simple

codes for trees and multitrees of a complete graph are presented. They can be used rather eficiently for the generation of all possible trees and multitrees of a complete or nearly complete graph. With minor nwdi$cations, the code can also be used as a generating function for labeled trees. Illustrative example8 are given.

๐Ÿ“œ SIMILAR VOLUMES

Remarks on the placeability of isomorphi
Remarks on the placeability of isomorphic trees in a complete graph
โœ Hasunuma, Toru; Shibata, Yukio ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 99 KB ๐Ÿ‘ 3 views

Let Tp be any tree of order p and A ( T p ) stand for the maximum degree of the vertices of Tp. We prove the following theorem. "If A(Tp) 5 pi, where p > 2i, then Tp is i-placeable in Kp" is true if and only if i = 1, 2, and 3. 0 1996 John Wiley & Sons, Inc. Suppose G is a graph and V ( G ) , E ( G

On resolvable tree-decompositions of com
On resolvable tree-decompositions of complete graphs
โœ Zbigniew Lonc ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 355 KB ๐Ÿ‘ 1 views

A partition of the edge set of a graph H into subsets inducing graphs H,, . . . , H, isomorphic to a graph G is said to be a G-decomposition of H. A G-decomposition of H is resolvable if the set {H,, . . . , H,} can be partitioned into subsets, called resolution classes, such that each vertex of H

Tail bound for the minimal spanning tree
Tail bound for the minimal spanning tree of a complete graph
โœ Jeong Han Kim; Sungchul Lee ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 202 KB

Suppose each edge of the complete graph K n is assigned a random weight chosen independently and uniformly from the unit interval [0; 1]. A minimal spanning tree is a spanning tree of K n with the minimum weight. It is easy to show that such a tree is unique almost surely. This paper concerns the nu