The Optimal Graph Whose Least Eigenvalue is Minimal among All Graphs via 1-2 Adjacency Matrix (original) (raw)

Minimizing the least eigenvalue of graphs with fixed order and size

Charles Johnson

Discrete Mathematics, 2012

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On graphs whose second largest eigenvalue equals 1 – the star complement technique

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Linear Algebra and its Applications, 2007

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Bicyclic graphs for which the least eigenvalue is minimum

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Linear Algebra and Its Applications, 2009

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Recent progress on graphs with fixed smallest eigenvalue

Jack Koolen

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On main eigenvalues of certain graphs

Domingos Moreira cardoso

2016

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Least eigenvalue of the connected graphs whose complements are cacti

Sana Akram

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On the smallest eigenvalues of the line graphs of some trees

Yoshio Sano

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Edge-signed graphs with smallest eigenvalue greater than− 2

Yoshio Sano

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Universal adjacency matrices with two eigenvalues

Willem Haemers

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Spectral characterization of graphs whose second largest eigenvalue is less than 1

Fenjin Liu

Linear Algebra and its Applications, 2011

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The Least Eigenvalue of the Complement of the Square Power Graph of G

gohar ali

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The inverse eigenvalue and inertia problems for minimum rank two graphs

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The Electronic Journal of Linear Algebra, 2011

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On the inverse of the adjacency matrix of a graph

Irene Sciriha

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Some new aspects of main eigenvalues of graphs

Domingos Moreira cardoso

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The Minimum Rank, Inverse Inertia, and Inverse Eigenvalue Problems for Graphs

Mark Kempton

2010

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A note on graphs with exactly two main eigenvalues

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The least eigenvalue of unicyclic graphs with vertices and pendant vertices

Jinlong Shu, Mingqing Zhai

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On the Generalized Adjacency Spread of a Graph

najaf amraei

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Graphs with eigenvalues at least −2

Navin Singhi

Linear Algebra and its Applications, 1982

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A new matrix representation of multidigraphs

Gopinath Sahoo

AKCE International Journal of Graphs and Combinatorics, 2019

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On matrices associated to directed graphs and applications

Andréa Bonifácio

2014

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The graphs with all but two eigenvalues equal to \pm 1$$ ± 1

Willem Haemers

Journal of Algebraic Combinatorics, 2014

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Spectral Characterization of Graphs with Respect to the Anti-Reciprocal Eigenvalue Property

sadia akhter

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On the generalized adjacency spectral radius of digraphs

Hilal A . Ganie

Linear and Multilinear Algebra

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The graphs for which the maximum multiplicity of an eigenvalue is two

Paul Smith

Linear and Multilinear Algebra, 2009

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On the multiplicities of eigenvalues of graphs and their vertex deleted subgraphs: old and new results

Milica Andelic

Electronic Journal of Linear Algebra, 2015

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Some results on graphs with exactly two main eigenvalues

Wai Shiu

Applied Mathematics Letters, 2012

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Some spectral properties of the non-backtracking matrix of a graph

Mark Kempton

Linear Algebra and its Applications, 2021

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Unicyclic graphs with strong reciprocal eigenvalue property

Bhaba Sarma

Electronic Journal of Linear Algebra, 2008

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Edge connectivity, packing spanning trees, and eigenvalues of graphs

xiangxiang liu

Linear and Multilinear Algebra, 2018

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INTRODUCTION TO GRAPH THEORY

Research Papers

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The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a nonlinear tree

Charles Johnson

Special Matrices, 2021

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Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: the case of generalized stars and double generalized stars

Antonio Duarte

Linear Algebra and Its Applications, 2003

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Covering matrices of a graph

divya rashmi

International Journal of Mathematics Trends and Technology, 2017

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Handbook of Graph Theory

Miguel Angel Fiol Mora

2013

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