๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Algebraic Connectivity of Connected Graphs with Fixed Number of Pendant Vertices

โœ Scribed by Arbind Kumar Lal; Kamal Lochan Patra; Binod Kumar Sahoo


Publisher
Springer Japan
Year
2010
Tongue
English
Weight
392 KB
Volume
27
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The ordering of trees and connected grap
โœ Jia-Yu Shao; Ji-Ming Guo; Hai-Ying Shan ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 235 KB

In this paper, we first determine that the first four trees of order n 9 with the smallest algebraic connectivity are P n , Q n , W n and Z n with ฮฑ(P n ) < ฮฑ(Q n ) < ฮฑ(W n ) < ฮฑ(Z n ) < ฮฑ(T ), where T is any tree of order n other than P n , Q n , W n , and Z n . Then we consider the effect on the L

Interpolation theorem for the number of
โœ C.A. Barefoot ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 162 KB

At the 4th International Graph Theory Conference (1980), G. Chartrand posed the following problem: If a (connected) graph G contains spanning trees with m and n pendant vertices, respectively, with m < n, does G contain a spanning tree with k pendant vertices for every integer k, where m<k<n? Recent