๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The bandwidth of the complement of A K-TREE

โœ Scribed by Yuan Jinjiang; Lin Yixun


Book ID
107502156
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
1998
Tongue
English
Weight
189 KB
Volume
13
Category
Article
ISSN
1005-1031

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


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

The bandwidth of a tree with k leaves is
โœ Kiyoshi Ando; Atsusi Kaneko; Severino Gervacio ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

The bandwidth B(G) of a finite simple graph G is the minimum of the quantity max{ If(x)-f(Y)I:xyC E(G)} taken over all injective integer labellings f of G. We prove that if a tree T has k leaves then B(T)<~ [k/2~. This improves the previously known upper bound B(T)<.IV(T)I/2

The least eigenvalue of the complements
โœ Yi-Zheng Fan; Fei-Fei Zhang; Yi Wang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 200 KB

Let T c n be the set of the complements of trees of order n. In this paper, we characterize the unique graph whose least eigenvalue attains the minimum among all graphs in T c n .

Cycles in the complement of a tree or ot
โœ F.C. Holroyd; W.J.G. Wingate ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 745 KB

Formulas are obtained for the number of m-cycles, y,(G, n), and the number of all cycles, -r(G, n). in the complement of a graph G with respect to the complete graph K,, in terms of the 'linear forest array' of G. Some elementary properties of these arrays are obtained. Computer results are reported