Steve Kirkland

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All published works

Action	Title	Year	Authors
+ PDF Chat	Cut-edge centralities in an undirected graph	2024	Dario A. Bini Guy Latouche Steve Kirkland Beatrice Meini
+ PDF Chat	Completion problems and sparsity for Kemeny’s constant	2024	Steve Kirkland
+	Bipartite unicyclic graphs with a unique perfect matching having the smallest positive eigenvalue equal to	2024	Sasmita Barik Subhasish Behera Steve Kirkland
+	Dominant eigenvalue and universal winners of digraphs	2024	Sirshendu Pan Sukanta Pati Steve Kirkland
+ PDF Chat	Quantum state transfer between twins in weighted graphs	2023	Steve Kirkland Hermie Monterde Shayne Plosker
+ PDF Chat	Numerical ranges of cyclic shift matrices	2023	Mao-Ting Chien Steve Kirkland Chi-Kwong Li Hiroshi Nakazato
+ PDF Chat	A comparison of centrality measures and their role in controlling the spread in epidemic networks	2023	Ekaterina Dudkina Michelangelo Bin Jane Breen Emanuele Crisostomi Pietro Ferraro Steve Kirkland Jakub Mareček Roderick Murray‐Smith Thomas Parisini Lewi Stone
+	Fiedler vectors with unbalanced sign patterns	2023	Sooyeong Kim Steve Kirkland
+	Numerical ranges of cyclic shift matrices	2023	Mao-Ting Chien Steve Kirkland Chi-Kwong Li Hiroshi Nakazato
+	Gram mates, sign changes in singular values, and isomorphism	2023	Sooyeong Kim Steve Kirkland
+	Quantum walks on join graphs	2023	Steve Kirkland Hermie Monterde
+ PDF Chat	Clusters in Markov chains via singular vectors of Laplacian matrices	2022	Sam Cole Steve Kirkland
+ PDF Chat	Gram mates, sign changes in singular values, and isomorphism	2022	Sooyeong Kim Steve Kirkland
+	On node ranking in graphs.	2021	Ekaterina Dudkina Michelangelo Bin Jane Breen Emanuele Crisostomi Pietro Ferraro Steve Kirkland Jakub Mareček Roderick Murray‐Smith Thomas Parisini Lewi Stone
+ PDF Chat	Fiedler vectors with unbalanced sign patterns	2021	Sooyeong Kim Steve Kirkland
+	Clusters in Markov Chains via Singular Vectors of Laplacian Matrices	2021	Sam Cole Steve Kirkland
+	On node ranking in graphs	2021	Ekaterina Dudkina Michelangelo Bin Jane Breen Emanuele Crisostomi Pietro Ferraro Steve Kirkland Jakub Mareček Roderick Murray‐Smith Thomas Parisini Lewi Stone
+ PDF Chat	On Kemeny's constant for trees with fixed order and diameter	2020	Lorenzo Ciardo Geir Dahl Steve Kirkland
+	Complex Hadamard diagonalisable graphs	2020	Ada Chan Shaun Fallat Steve Kirkland Jephian C.-H. Lin Shahla Nasserasr Sarah Plosker
+	On Kemeny's constant for trees with fixed order and diameter	2020	Lorenzo Ciardo Geir Dahl Steve Kirkland
+	Complex Hadamard Diagonalisable Graphs	2020	Ada Chan Shaun Fallat Steve Kirkland Jephian C.-H. Lin Shahla Nasserasr Sarah Plosker
+	On Kemeny's constant for trees with fixed order and diameter	2020	Lorenzo Ciardo Geir Dahl Steve Kirkland
+	Fractional revival of threshold graphs under Laplacian dynamics	2019	Steve Kirkland Xiaohong Zhang
+ PDF Chat	Directed forests and the constancy of Kemeny’s constant	2019	Steve Kirkland
+	On split graphs with four distinct eigenvalues	2019	Felix Goldberg Steve Kirkland Anu Varghese Ambat Vijayakumar
+	Complete multipartite graphs and Braess edges	2019	Yuxiang Hu Steve Kirkland
+ PDF Chat	Switching and partially switching the hypercube while maintaining perfect state transfer	2019	Steve Kirkland Sarah Plosker Xiaohong Zhang
+ PDF Chat	Estimating random walk centrality in networks	2019	Brad C. Johnson Steve Kirkland
+ PDF Chat	A Structured Condition Number for Kemeny's Constant	2019	Jane Breen Steve Kirkland
+	The Complexity of Power Graphs Associated With Finite Groups	2018	Steve Kirkland A. R. Moghaddamfar S. Navid Salehy S. Nima Salehy Mahsa Zohouratar
+ PDF Chat	The Complexity of Power Graphs Associated With Finite Groups	2018	Steve Kirkland A. R. Moghaddamfar S. Navid Salehy S. Nima Salehy Mahsa Zohouratar
+ PDF Chat	Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials	2018	Steve Kirkland Darian McLaren Rajesh Pereira Sarah Plosker Xiaohong Zhang
+	Switching and partially switching the hypercube while maintaining perfect state transfer	2018	Steve Kirkland Sarah Plosker Xiaohong Zhang
+	The Complexity of Power Graphs Associated With Finite Groups	2018	Steve Kirkland A. R. Moghaddamfar S. Navid Salehy S. Nima Salehy M. Zohourattar
+	Switching and partially switching the hypercube while maintaining perfect state transfer	2018	Steve Kirkland Sarah Plosker Xiaohong Zhang
+	Perfect quantum state transfer using Hadamard diagonalizable graphs	2017	Nathaniel Johnston Steve Kirkland Sarah Plosker Rebecca Storey Xiaohong Zhang
+	On the characteristic set, centroid, and centre for a tree	2017	Nair Maria Maia de Abreu Eliseu Fritscher Cláudia Marcela Justel Steve Kirkland
+	Minimising the largest mean first passage time of a Markov chain: The influence of directed graphs	2017	Jane Breen Steve Kirkland
+	Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials	2017	Steve Kirkland Darian McLaren Rajesh Pereira Sarah Plosker Xiaohong Zhang
+ PDF Chat	Random walk centrality and a partition of Kemeny’s constant	2016	Steve Kirkland
+	Algebraically positive matrices	2016	Steve Kirkland Pu Qiao Xingzhi Zhan
+ PDF Chat	A Panorama of Mathematics: Pure and Applied	2016	Carlos M. da Fonseca Dinh Van Huynh Steve Kirkland Vu Kim Tuan
+ PDF Chat	Bounds on probability of state transfer with respect to readout time and edge weight	2016	Whitney Gordon Steve Kirkland Chi-Kwong Li Sarah Plosker Xiaohong Zhang
+ PDF Chat	Kemeny's Constant And An Analogue Of Braess' Paradox For Trees	2016	Steve Kirkland Ze Min Zeng
+ PDF Chat	Preface: Special volume of Electronic Journal of Linear Algebra dedicated to Professor Ravindra B. Bapat	2015	Rajendra Bhatia Steve Kirkland K. Manjunatha Prasad Simo Puntanen
+ PDF Chat	Stationary vectors of stochastic matrices subject to combinatorial constraints	2015	Jane Breen Steve Kirkland
+ PDF Chat	Algebraic connectivity of k-connected graphs	2015	Steve Kirkland Israel Rocha Vilmar Trevisan
+	The Markov Chain Tree Theorem in commutative semirings and the State Reduction Algorithm in commutative semifields	2014	Buket Benek Gursoy Steve Kirkland Oliver Mason Sergeĭ Sergeev
+	On split graphs with four distinct eigenvalues	2014	Felix Goldberg Steve Kirkland Anu Varghese Ambat Vijayakumar
+ PDF Chat	Load balancing for Markov chains with a specified directed graph	2014	Steve Kirkland
+ PDF Chat	On the Kemeny constant and stationary distribution vector for a Markov chain	2014	Steve Kirkland
+	On split graphs with four distinct eigenvalues	2014	Felix Goldberg Steve Kirkland Mathew Varghese Ambat Vijayakumar
+	The Markov chain tree theorem and the state reduction algorithm in commutative semirings	2013	Buket Benek Gursoy Steve Kirkland Oliver Mason Sergeĭ Sergeev
+	On the sign patterns of the smallest signless Laplacian eigenvector	2013	Felix Goldberg Steve Kirkland
+	Algebraic Connectivity	2013	Steve Kirkland
+	On the sign patterns of the smallest signless Laplacian eigenvector	2013	Felix Goldberg Steve Kirkland
+	The minimum coefficient of ergodicity for a Markov chain with a given directed graph	2013	Steve Kirkland
+ PDF Chat	A Network Configuration Algorithm Based on Optimization of Kirchhoff Index	2013	Adam Hackett Deepak Ajwani Shoukat Ali Steve Kirkland John P. Morrison
+ PDF Chat	On the Markov chain tree theorem in the Max algebra	2013	Buket Benek Gursoy Steve Kirkland Oliver Mason Sergeĭ Sergeev
+	On the sign patterns of the smallest signless Laplacian eigenvector	2013	Felix Goldberg Steve Kirkland
+	On the Markov Chain Tree Theorem in the Max Algebra	2012	Buket Benek Gursoy Steve Kirkland Oliver Mason Sergeùõ Sergeev
+	Skew-adjacency matrices of graphs	2012	Michael Cavers Sebastian M. Cioabă Shaun Fallat David A. Gregory Willem H. Haemers Steve Kirkland Judith J. McDonald Michael J. Tsatsomeros
+ PDF Chat	Essentially negative news about positive systems	2012	Annalisa Zappavigna Patrizio Colaneri Steve Kirkland Robert Shorten
+ PDF Chat	Minimum rank of powers of trees	2012	Luz M. DeAlba Jason Grout In‐Jae Kim Steve Kirkland Judith J. McDonald Amy Yielding
+	On the Markov Chain Tree Theorem in the Max Algebra	2012	Buket Benek Gursoy Steve Kirkland Oliver Mason Sergeĭ Sergeev
+	A scaling and squaring method for the discretisation of positive switched systems	2011	Annalisa Zappavigna Patrizio Colaneri Steve Kirkland Robert Shorten
+	On Hadamard diagonalizable graphs	2011	Sasmita Barik Shaun Fallat Steve Kirkland
+ PDF Chat	Sign patterns for eigenmatrices of nonnegative matrices	2011	Steve Kirkland
+ PDF Chat	Spin-system dynamics and fault detection in threshold networks	2011	Steve Kirkland Simone Severini
+ PDF Chat	Bipartite subgraphs and the signless Laplacian matrix	2011	Steve Kirkland Debdas Paul
+ PDF Chat	On algebraic connectivity augmentation	2010	Steve Kirkland Carla Silva Oliveira Cláudia Marcela Justel
+	Fastest expected time to mixing for a Markov chain on a directed graph	2010	Steve Kirkland
+ PDF Chat	The Kemeny Constant for Finite Homogeneous Ergodic Markov Chains	2010	Minerva Catral Steve Kirkland Michael Neumann Nung-Sing Sze
+	On the normalized Laplacian energy and general Randić index <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> of graphs	2010	Michael Cavers Shaun Fallat Steve Kirkland
+ PDF Chat	Column sums and the conditioning of the stationary distribution for a stochastic matrix	2010	Steve Kirkland
+ PDF Chat	On Q-spectral integral variation	2009	Maria Aguieiras A. de Freitas Renata R. Del-Vecchio Nair Maria Maia de Abreu Steve Kirkland
+	Algebraic connectivity for vertex-deleted subgraphs, and a notion of vertex centrality	2009	Steve Kirkland
+	Bounds on the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi>Q</mml:mi></mml:mrow></mml:math>-spread of a graph	2009	Carla Silva Oliveira Leonardo de Lima Nair Maria Maia de Abreu Steve Kirkland
+	Directed intervals and the dual of a graph	2009	Ryan M. Tifenbach Steve Kirkland
+ PDF Chat	Near Threshold Graphs	2009	Steve Kirkland
+ PDF Chat	Primitive digraphs with the largest scrambling index	2008	Mahmud Akelbek Steve Kirkland
+ PDF Chat	Coefficients of ergodicity and the scrambling index	2008	Mahmud Akelbek Steve Kirkland
+ PDF Chat	Laplacian Integral Graphs with Maximum Degree $3$	2008	Steve Kirkland
+ PDF Chat	A cycle-based bound for subdominant eigenvalues of stochastic matrices	2008	Steve Kirkland
+	On unimodular graphs	2006	Saieed Akbari Steve Kirkland
+	Algebraic Connectivity	2006	Steve Kirkland
+	Algebraic Connectivity	2006	Steve Kirkland
+	Constructably Laplacian integral graphs	2006	Steve Kirkland
+	Transition matrices for well-conditioned Markov chains	2006	Steve Kirkland Michael Neumann Jianhong Xu
+	Convergence Analysis of a PageRank Updating Algorithm by Langville and Meyer	2006	Ilse C. F. Ipsen Steve Kirkland
+	LIMIT POINTS FOR NORMALIZED LAPLACIAN EIGENVALUES	2006	Steve Kirkland
+	Completion of Laplacian integral graphs via edge addition	2005	Steve Kirkland
+	On distance matrices and Laplacians	2004	R.B. Bapat Steve Kirkland Michael Neumann
+	A characterization of spectral integral variation in two places for Laplacian matrices	2004	Steve Kirkland
+	Convexity and Elasticity of the Growth Rate in Size-Classified Population Models	2004	Steve Kirkland Michael Neumann Jin Xu
+	On algebraic connectivity as a function of an edge weight	2004	Steve Kirkland Michael Neumann
+	Maximizing Algebraic Connectivity Over Unicyclic Graphs	2003	Shaun Fallat Steve Kirkland Sukanta Pati
+	Digraph-based conditioning for Markov chains	2003	Steve Kirkland
+	On graphs with algebraic connectivity equal to minimum edge density	2003	Shaun Fallat Steve Kirkland Sukanta Pati
+	A note on k-primitive directed graphs	2003	LeRoy B. Beasley Steve Kirkland
+	Spectrum Localization for Almost Skew-symmetric Matrices	2003	Steve Kirkland Judith J. McDonald Panayiotis Psarrakos
+	A note on limit points for algebraic connectivity	2002	Steve Kirkland
+	An upper bound on the Perron value of an almost regular tournament matrix	2002	Steve Kirkland
+	Minimizing algebraic connectivity over connected graphs with fixed girth	2002	Shaun Fallat Steve Kirkland Sukanta Pati
+	On a Question Concerning Condition Numbers for Markov Chains	2002	Steve Kirkland
+	On Vertex Connectivity and Absolute Algebraic Connectivity for Graphs	2002	Steve Kirkland Sukanta Pati
+	On the Elasticity of the Perron Root of a Nonnegative Matrix	2002	Steve Kirkland Michael Neumann Nic Ormes Jin Chao Xu
+	The perturbed laplacian matrix of a graph	2001	R.B. Bapat Steve Kirkland Sukanta Pati
+	On the location of the spectrum of hypertournament matrices	2001	Steve Kirkland Panayiotis Psarrakos Michael J. Tsatsomeros
+	On the sequence of powers of a stochastic matrix with large exponent	2000	Steve Kirkland
+	A bound on the algebraic connectivity of a graph in terms of the number of cutpoints	2000	Steve Kirkland
+ PDF Chat	Constructions for type I trees with nonisomorphic Perron branches	1999	Steve Kirkland
+	Perron components and algebraic connectivity for weighted graphs	1998	Steve Kirkland Shaun Fallat
+	A sequence of upper bounds for the Perron root of a nonnegative matrix	1998	Dursun Taşçı Steve Kirkland
+	A note on perron vectors for almost regular tournament matrices	1997	Steve Kirkland
+	Perron vector bounds for a tournament matrix with applications to a conjecture of Brualdi and Li	1997	Steve Kirkland
+	On the exponent of a primitive matrix containing a primitive submatrix	1997	LeRoy B. Beasley Steve Kirkland
+	A note on the eigenvalues of a primitive matrix with large exponent	1997	Steve Kirkland
+	Algebraic connectivity of weighted trees under perturbation	1997	Steve Kirkland Michael Neumann
+ PDF Chat	Sign-patterns which require a positive eigenvalue	1996	Steve Kirkland Judith J. McDonald Michael J. Tsatsomeros
+	Characteristic vertices of weighted trees via perron values	1996	Steve Kirkland Michael Neumann Bryan L. Shader
+	The Group Inverse Associated with an Irreducible Periodic Nonnegative Matrix	1995	Steve Kirkland
+	A convexity result for complex numbers with applications to nonnegative normal matrices	1995	Steve Kirkland Robert E. Hartwig
+	A bound on the exponent of a primitive matrix using Boolean rank	1995	David A. Gregory Steve Kirkland Norman J. Pullman
+	Spectral radii of tournament matrices whose graphs are related by an arc reversal	1995	Steve Kirkland
+ PDF Chat	On multipartite tournament matrices with constant team size<sup>∗</sup>	1993	Steve Kirkland Bryan L. Shader
+	Pick's inequality and tournaments	1993	David A. Gregory Steve Kirkland Bryan L. Shader
+	A reversal index for tournament matrices<sup>*</sup>	1993	Steve Kirkland
+	On the spectrum of a Leslie matrix with a near-periodic fecundity pattern	1993	Steve Kirkland
+	Power convergent boolean matrices	1993	David A. Gregory Steve Kirkland Norman J. Pullman
+	Algebraic multiplicity of the eigenvalues of a tournament matrix	1992	D. de Caen David A. Gregory Steve Kirkland Norman J. Pullman John S. Maybee
+	Row-stochastic matrices with a common left fixed vector	1992	David A. Gregory Steve Kirkland Norman J. Pullman

Common Coauthors

Coauthor	Papers Together
Shaun Fallat	9
Sarah Plosker	9
Michael Neumann	8
Xiaohong Zhang	7
Jane Breen	6
Sukanta Pati	6
Felix Goldberg	6
David A. Gregory	6
Robert Shorten	5
Oliver Mason	5
Buket Benek Gursoy	5
Sooyeong Kim	4
Sergeĭ Sergeev	4
Norman J. Pullman	4
Judith J. McDonald	4
Lorenzo Ciardo	3
S. Nima Salehy	3
Lewi Stone	3
Michael J. Tsatsomeros	3
Jakub Mareček	3
Michelangelo Bin	3
Nair Maria Maia de Abreu	3
Thomas Parisini	3
Roderick Murray‐Smith	3
Geir Dahl	3
Ekaterina Dudkina	3
Emanuele Crisostomi	3
Bryan L. Shader	3
A. R. Moghaddamfar	3
Chi-Kwong Li	3
S. Navid Salehy	3
Ambat Vijayakumar	3
Shahla Nasserasr	2
Ada Chan	2
Rajesh Pereira	2
Sasmita Barik	2
Jephian C.-H. Lin	2
Michael Cavers	2
Pietro Ferraro	2
Mao-Ting Chien	2
Darian McLaren	2
Panayiotis Psarrakos	2
Hermie Monterde	2
Mahsa Zohouratar	2
Anu Varghese	2
Sam Cole	2
R.B. Bapat	2
Annalisa Zappavigna	2
LeRoy B. Beasley	2
Mahmud Akelbek	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Algebraic connectivity of graphs	1973	Miroslav Fiedler	22
+	Laplacian matrices of graphs: a survey	1994	Russell Merris	20
+ PDF Chat	Combinatorial Matrix Theory	1991	Richard A. Brualdi H. J. Ryser	19
+ PDF Chat	A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory	1975	Miroslav Fiedler	15
+	Characteristic vertices of weighted trees via perron values	1996	Steve Kirkland Michael Neumann Bryan L. Shader	9
+	Perfect state transfer in cubelike graphs	2011	Wang-Chi Cheung Chris Godsil	9
+	Finite Markov chains	1976	John G. Kemeny J. Laurie Snell	9
+ PDF Chat	Perfect transfer of arbitrary states in quantum spin networks	2005	Matthias Christandl Nilanjana Datta T. C. Dorlas Artur Ekert Alastair Kay Andrew J. Landahl	8
+	Characteristic vertices of trees<sup>*</sup>	1987	Russell Merris	8
+ PDF Chat	Perfect State Transfer in Quantum Spin Networks	2004	Matthias Christandl Nilanjana Datta Artur Ekert Andrew J. Landahl	8
+	Laplace eigenvalues of graphs—a survey	1992	Bojan Mohar	8
+	Laplacian graph eigenvectors	1998	Russell Merris	8
+ PDF Chat	Quantum networks on cubelike graphs	2008	Anna Bernasconi Chris Godsil Simone Severini	8
+ PDF Chat	On the characteristic roots of tournament matrices	1968	Alfred Brauer Ivey C. Gentry	7
+	Fastest expected time to mixing for a Markov chain on a directed graph	2010	Steve Kirkland	7
+	Mixing times with applications to perturbed Markov chains	2006	Jeffrey J. Hunter	7
+	Perron components and algebraic connectivity for weighted graphs	1998	Steve Kirkland Shaun Fallat	7
+ PDF Chat	Algebraic connectivity of trees	1987	Robert Grone Russell Merris	7
+	Spectral Graph Theory	1996	Fan Chung	6
+	On graphs with equal algebraic and vertex connectivity	2002	Stephen Kirkland Jason J. Molitierno Michael Neumann Bryan L. Shader	6
+	Spectra of graphs	1980	Cvetkovi cacute Mikhina Vs Michael Doob H. Sachs	6
+	Old and new results on algebraic connectivity of graphs	2006	Nair Maria Maia de Abreu	6
+ PDF Chat	QUANTUM PERFECT STATE TRANSFER ON WEIGHTED JOIN GRAPHS	2009	Ricardo Javier Angeles-Canul Rachael M. Norton Michael Opperman CHRISTOPHER C. PARIBELLO Matthew C. Russell Christino Tamon	6
+	Comparison of perturbation bounds for the stationary distribution of a Markov chain	2001	Grace E. Cho Carl D. Meyer	6
+	The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities	1980	Carl D. Meyer	6
+	The Group Inverse Associated with an Irreducible Periodic Nonnegative Matrix	1995	Steve Kirkland	6
+	The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains	1975	Carl D. Meyer	6
+	On a Question Concerning Condition Numbers for Markov Chains	2002	Steve Kirkland	5
+	Group Inverses of M-Matrices and Their Applications	2012	Stephen Kirkland Michael Neumann	5
+	Tournament matrices and their generalizations, I.	1990	John S. Maybee Norman J. Pullman	5
+	Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems	1989	Carl D. Meyer	5
+ PDF Chat	QUANTUM STATE TRANSFER THROUGH A QUBIT NETWORK WITH ENERGY SHIFTS AND FLUCTUATIONS	2009	Andrea Casaccino Seth Lloyd Stefano Mancini Simone Severini	5
+	The Laplacian Spectrum of a Graph	1990	Robert Grone Russell Merris V. S. Sunder	5
+	Algebraic Graph Theory	2009	Chris Godsil Gordon Royle	5
+ PDF Chat	Random walk centrality and a partition of Kemeny’s constant	2016	Steve Kirkland	5
+	A bound on the algebraic connectivity of a graph in terms of the number of cutpoints	2000	Steve Kirkland	5
+ PDF Chat	Perfect state transfer, integral circulants, and join of graphs	2010	Ricardo Javier Angeles-Canul Robert M. Norton Michael Opperman CHRISTOPHER C. PARIBELLO Matthew C. Russell Christino Tamon	5
+	Perfect quantum state transfer using Hadamard diagonalizable graphs	2017	Nathaniel Johnston Steve Kirkland Sarah Plosker Rebecca Storey Xiaohong Zhang	5
+	Complement reducible graphs	1981	Derek G. Corneil H. Lerchs L.Stewart Burlingham	5
+ PDF Chat	Laplacian of graphs and algebraic connectivity	1989	Miroslav Fiedler	5
+	Spectra of graphs : theory and application	1995	Dragoš Cvetković Michael Doob H. Sachs	5
+	On Hadamard diagonalizable graphs	2011	Sasmita Barik Shaun Fallat Steve Kirkland	5
+ PDF Chat	Rank one perturbation and its application to the laplacian spectrum of a graph<sup>∗</sup>	1999	Wasin So	5
+ PDF Chat	Quantum Communication through an Unmodulated Spin Chain	2003	Sougato Bose	5
+	Degree maximal graphs are Laplacian integral	1994	Russell Merris	5
+ PDF Chat	The Kemeny Constant for Finite Homogeneous Ergodic Markov Chains	2010	Minerva Catral Steve Kirkland Michael Neumann Nung-Sing Sze	5
+ PDF Chat	Perfect state transfer in Laplacian quantum walk	2015	Rachael Alvir Sophia Dever Benjamin Lovitz James Myer Christino Tamon Yan Xu Hanmeng Zhan	5
+	Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix	1984	Emeric Deutsch Michael Neumann	4
+	Algebraic Graph Theory	1974	Norman Biggs	4
+	Eigenvalues, diameter, and mean distance in graphs	1991	Bojan Mohar	4