๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Spectral characterization of graphs with index at most

โœ Scribed by N. Ghareghani; G.R. Omidi; B. Tayfeh-Rezaie


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
140 KB
Volume
420
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Graphs with Branchwidth at Most Three
โœ Hans L Bodlaender; Dimitrios M Thilikos ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 257 KB

In this paper we investigate both the structure of graphs with branchwidth at most three, as well as algorithms to recognise such graphs. We show that a graph has branchwidth at most three if and only if it has treewidth at most three and does not contain the three-dimensional binary cube graph as a

Spectral characterizations of sandglass
โœ Pengli Lu; Xiaogang Liu; Zhanting Yuan; Xuerong Yong ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 633 KB

The sandglass graph is obtained by appending a triangle to each pendant vertex of a path. It is proved that sandglass graphs are determined by their adjacency spectra as well as their Laplacian spectra.

Spectral characterizations of lollipop g
โœ Willem H. Haemers; Xiaogang Liu; Yuanping Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB
On a Laplacian spectral characterization
โœ G.R. Omidi ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 129 KB

A graph is said to be determined by the adjacency (respectively, Laplacian) spectrum if there is no other non-isomorphic graph with the same adjacency (respectively, Laplacian) spectrum. The maximum eigenvalue of A(G) is called the index of G. The connected graphs with index less than 2 are known, a

Spectral characterization of some weight
โœ Oscar Rojo; Luis Medina ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 349 KB

The level of a vertex in a rooted graph is one more than its distance from the root vertex. A generalized Bethe tree is a rooted tree in which vertices at the same level have the same degree. We characterize completely the eigenvalues of the Laplacian, signless Laplacian and adjacency matrices of a