Proof of conjectures involving algebraic connectivity of graphs

DOI10.1016/j.laa.2012.11.036zbMath1262.05092OpenAlexW1963880243WikidataQ123026686 ScholiaQ123026686MaRDI QIDQ1947091

Kinkar Chandra Das

Publication date: 12 April 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.11.036

zbMATH Keywords

diameterminimum degreealgebraic connectivitylargest Laplacian eigenvalue

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Connectivity (05C40) Vertex degrees (05C07)

Related Items (6)

Lower bounds for the algebraic connectivity of graphs with specified subgraphs ⋮ Upper bounds on the (signless) Laplacian eigenvalues of graphs ⋮ Proof of conjectures on remoteness and proximity in graphs ⋮ Proof of conjecture involving algebraic connectivity and average degree of graphs ⋮ Ordering trees and graphs with few cycles by algebraic connectivity ⋮ Minimal extremal graphs for addition of algebraic connectivity and independence number of connected graphs

Uses Software

• AutoGraphiX

Cites Work

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