Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

Algebraic graph theory

Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric… Expand
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2013
Highly Cited
2013
Consider a weighted undirected graph and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements… Expand
  • figure 1
  • figure 3
  • figure 2
  • figure 9
  • figure 5
Is this relevant?
Highly Cited
2011
Highly Cited
2011
In this paper, we provide a theoretical framework for controlling graph connectivity in mobile robot networks. We discuss… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2006
Highly Cited
2006
We consider the set G consisting of graphs of fixed order and weighted edges. The vertex set of graphs in G will correspond to… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • table I
Is this relevant?
Highly Cited
2004
Highly Cited
2004
Foreword Peter J. Cameron Introduction 1. Eigenvalues of graphs Michael Doob 2. Graphs and matrices Richard A. Brualdi and Bryan… Expand
  • figure 1
  • figure 4
  • figure 5
  • figure 6
Is this relevant?
Highly Cited
2004
Highly Cited
2004
In this paper, we discuss consensus problems for networks of dynamic agents with fixed and switching topologies. We analyze three… Expand
  • figure 1
  • figure 3
  • figure 2
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2003
Highly Cited
2003
Introduction to Graphs Fundamentals of Graph Theory, Jonathan L. Gross and Jay Yellen Families of Graphs and Digraphs, Lowell W… Expand
Is this relevant?
Highly Cited
2002
Highly Cited
2002
This text is an in-depth account of graph theory. It reflects the current state of the subject and emphasizes connections with… Expand
Is this relevant?
Highly Cited
2001
Highly Cited
2001
Graphs.- Groups.- Transitive Graphs.- Arc-Transitive Graphs.- Generalized Polygons and Moore Graphs.- Homomorphisms.- Kneser… Expand
Is this relevant?
Highly Cited
1997
Highly Cited
1997
1. A background in graph spectra 2. Eigenvectors of graphs 3. Eigenvectors of techniques 4. Graph angles 5. Angle techniques 6… Expand
Is this relevant?
1994
1994
Abstract Let G be an undirected graph with vertices {v 1 ,v 2 ,…,>;v ⋎ } and edges {e1,e2, …,eϵ}. Let M be the ⋎ × ϵ matrix whose… Expand
Is this relevant?