Algebraic connectivity of graphs
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This article is published in Czechoslovak Mathematical Journal.The article was published on 1973-01-01 and is currently open access. It has received 3888 citations till now. The article focuses on the topics: Algebraic graph theory & Irreducible component.read more
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Proceedings ArticleDOI
Topology connectivity analysis of internet infrastructure using graph spectra
TL;DR: This paper presents the physical and logical topologies of two ISPs and compares these topologies with the US interstate highway topology by using graph metrics and then using the normalised Laplacian spectrum, indicating that physical network topologies are closely correlated with the motorway transportation topology.
Proceedings ArticleDOI
Topology for Global Average Consensus
Soummya Kar,Jose M. F. Moura +1 more
TL;DR: Through numerical studies, it is shown that the consensus algorithm converges much faster on the Ramanujan graphs than on structured graphs, on Erdos-Renyi random graphs, and on graphs exhibiting small-world properties.
Journal ArticleDOI
Synchronization of Networks of Non-Identical Chua's Circuits: Analysis and Experiments
TL;DR: The theoretical expectations are validated of the so-called Extended Master Stability Function approach to study the onset of synchronization in the presence of real parameter mismatches between the circuits at the network nodes.
Journal ArticleDOI
Data-Based Fault-Tolerant Consensus Control for Uncertain Multiagent Systems Via Weighted Edge Dynamics
TL;DR: It is proved that the stabilizing controller design for the transformed weighted edge dynamics is equivalent to the consensus controller design to ensure the consensus of the initial MAS can be further ensured under the designed control protocol.
References
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Book ChapterDOI
Congruent Graphs and the Connectivity of Graphs
TL;DR: In this paper, the authors give conditions that two graphs be congruent and some theorems on the connectivity of graphs, and conclude with some applications to dual graphs, which can also be proved by topological methods.