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Sharp bounds on the least eigenvalue of a graph determined from edge clique partitions [PDF]

Journal of Algebraic Combinatorics, 2023
Sharp bounds on the least eigenvalue of an arbitrary graph are presented. Necessary and sufficient (just sufficient) conditions for the lower (upper) bound to be attained are deduced using edge clique partitions.
Domingos M Cardoso, Inés Serôdio Costa
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Inverse Problems on the Least Eigenvalue

Results in Mathematics, 2013
The paper deals with generalizations of the classical Ambarzumyan theorem, which, as is well-known, can be formulated in the following way: if the first (i.e., smallest) eigenvalue \(\lambda_0\) of the Sturm-Liouville operator \[ Ay:=-y''+q(x)y, \quad ...
Yang, Jie, Yang, Chuan-Fu
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THE LEAST EIGENVALUE OF GRAPHS

Far East Journal of Mathematical Sciences (FJMS), 2018
In this paper we investigate the least eigenvalue of a graph whose complement is connected, and present a lower bound for the least eigenvalue of such graph. We also characterize the unique graph whose least eigenvalue attains the second minimum among all graphs of fixed order. Keywords graph; complement; adjacency matrix; least eigenvalue.
Chen Wang, Wei Sun, Guidong Yu, Wei Wei
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On the least eigenvalue of A-matrix of graphs

Linear Algebra and its Applications, 2020
Abstract Let G be a graph of order n with m edges and chromatic number χ. Let A ( G ) be the adjacency matrix and D ( G ) be the diagonal matrix of vertex degrees of G. Nikiforov defined the matrix A α ( G ) as A α ( G ) = α D ( G ) + ( 1 − α ) A ( G ) , where 0 ≤ α ≤ 1 . Then
Shuting Liu, Kinkar Chandra Das, Shaowei Sun, Jinlong Shu   +3 more
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The least Q-eigenvalue with fixed domination number

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guanglong Yu, Mingqing Zhai, Chao Yan, Shu-Guang Guo   +3 more
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The least H-eigenvalue of signless Laplacian of non-odd-bipartite hypergraphs

Discrete Mathematics, 2020
Yi-Zheng Fan
exaly  

Least-squares formulations for eigenvalue problems associated with linear elasticity

Computers and Mathematics With Applications, 2021
Fleurianne Bertrand, Daniele Boffi
exaly  

Least eigenvalue

2015
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The least eigenvalue of signless Laplacian of non-bipartite graphs with given domination number

Discrete Mathematics, 2014
Yi-Zheng Fan
exaly  

Regularized Total Least Squares Based on Quadratic Eigenvalue Problem Solvers

BIT Numerical Mathematics, 2004
Sabine Van Huffel, Golub Gene H, Sima Diana M   +2 more
exaly