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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Binod Kumar Sahoo
School of Mathematical Sciences National Institute of Science Education and Research, Bhubaneswar (HBNI) At/Po- Jatni, District- Khurda, Odisha - 752050, India
Electrical & Electronics Engineering

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Bounds for the Laplacian spectral radius of graphs Kamal Lochan Patra; Binod Kumar Sahoo
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 5, No 2 (2017): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2017.5.2.10

Abstract

This paper is a survey on the upper and lower bounds for the largest eigenvalue of the Laplacian matrix, known as the Laplacian spectral radius, of a graph. The bounds are given as functions of graph parameters like the number of vertices, the number of edges, degree sequence, average 2-degrees, diameter, covering number, domination number, independence number and other parameters.
Co-Authors Kamal Lochan Patra