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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
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2018
Review
2018
Algebraic graph theory is a cornerstone in the study of electrical networks ranging from miniature integrated circuits to… Expand
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Highly Cited
2014
Highly Cited
2014
In this paper, the event-based consensus problem of general linear multi-agent systems is considered. Two sufficient conditions… Expand
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Highly Cited
2013
Highly Cited
2013
Consider a weighted undirected graph and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements… Expand
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Highly Cited
2010
Highly Cited
2010
In this paper, a distributed tracking control scheme with distributed estimators has been developed for a leader-follower multi… Expand
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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
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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
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Highly Cited
2003
Highly Cited
2003
  • J. Gross
  • Discrete mathematics and its applications
  • 2003
  • Corpus ID: 34005336
Introduction to Graphs Fundamentals of Graph Theory, Jonathan L. Gross and Jay Yellen Families of Graphs and Digraphs, Lowell W… Expand
Highly Cited
2002
Highly Cited
2002
  • B. Bollobás
  • Graduate Texts in Mathematics
  • 2002
  • Corpus ID: 120529008
This text is an in-depth account of graph theory. It reflects the current state of the subject and emphasizes connections with… Expand
Highly Cited
2001
Highly Cited
2001
Graphs.- Groups.- Transitive Graphs.- Arc-Transitive Graphs.- Generalized Polygons and Moore Graphs.- Homomorphisms.- Kneser… Expand
Highly Cited
1974
Highly Cited
1974
1. Introduction to algebraic graph theory Part I. Linear Algebra in Graphic Thoery: 2. The spectrum of a graph 3. Regular graphs… Expand