๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Eigenvalues of finite graphs

โœ Scribed by C. Delorme


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
642 KB
Volume
114
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Bounds of eigenvalues of graphs
โœ Yuan Hong ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 469 KB

The eigenvalues of a graph are the eigenvalues of its adjacency matrix. This paper presents an algebraically defined invariant system of a graph. We get some bounds of the eigenvalues of graphs and propose a few open problems.

Eigenvalues of matrices with tree graphs
โœ Clark Jeffries; P. van den Driessche ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 827 KB
Nonregular Graphs with Three Eigenvalues
โœ Edwin R. van Dam ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 387 KB

We study nonregular graphs with three eigenvalues. We determine all the ones with least eigenvalue &2, and give new infinite families of examples. 1998 Academic Press ## 1. Introduction In this paper we look at the graphs that are generalizations of strongly regular graphs (cf. [3, 6, 16]) by drop

On the embedding of graphs into graphs w
โœ Vu, Van H. ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 726 KB

A graph is called of type k if it is connected, regular, and has k distinct eigenvalues. For example graphs of type 2 are the complete graphs, while those of type 3 are the strongly regular graphs. We prove that for any positive integer n, every graph can be embedded in n cospectral, non-isomorphic