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Algebraic graph theory is a cornerstone in the study of electrical networks ranging from miniature integrated circuits to… Expand In this paper, the event-based consensus problem of general linear multi-agent systems is considered. Two sufficient conditions… Expand Consider a weighted undirected graph and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements… Expand In this paper, a distributed tracking control scheme with distributed estimators has been developed for a leader-follower multi… Expand 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 Foreword Peter J. Cameron Introduction 1. Eigenvalues of graphs Michael Doob 2. Graphs and matrices Richard A. Brualdi and Bryan… Expand Introduction to Graphs Fundamentals of Graph Theory, Jonathan L. Gross and Jay Yellen Families of Graphs and Digraphs, Lowell W… Expand This text is an in-depth account of graph theory. It reflects the current state of the subject and emphasizes connections with… Expand Graphs.- Groups.- Transitive Graphs.- Arc-Transitive Graphs.- Generalized Polygons and Moore Graphs.- Homomorphisms.- Kneser… Expand 1. Introduction to algebraic graph theory Part I. Linear Algebra in Graphic Thoery: 2. The spectrum of a graph 3. Regular graphs… Expand