1990Linear and Multilinear AlgebraRequires access

The largest eigenvalue of a graph: A survey

Dragoš Cvetković, Peter Rowlinson

Open publisher page 225 citations

Abstract

This article is a survey of results concerning the largest eigenvalue (or index) of a grapn, catcgoiizeu as follows (1) inequalities lor the index, (2) graph with bounded index, (3) ordering graphs by their indices, (4) graph operations and modifications, (5) random graphs, (6) applications.

About this research paper

What this paper is about

This article is a survey of results concerning the largest eigenvalue (or index) of a grapn, catcgoiizeu as follows (1) inequalities lor the index, (2) graph with bounded index, (3) ordering graphs by their indices, (4) graph operations and modifications, (5) random graphs, (6) applications.

Why it matters

OpenAlex reports 225 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This article is a survey of results concerning the largest eigenvalue (or index) of a grapn, catcgoiizeu as follows (1) inequalities lor the index, (2) graph with bounded index, (3) ordering graphs by their indices, (4) graph operations and modifications, (5) random graphs, (6) applications.

Key concepts: Mathematics, Combinatorics, Graph, Bounded function, Eigenvalues and eigenvectors, Index (typography), Discrete mathematics, Algebraic connectivity

Related papers

Back to paper searchBrowse research topicsOriginal source
The largest eigenvalue of a graph: A survey — Research Paper | ScholarLens