A generalization of Turán's theorem (original) (raw)

On the order of regular graphs with fixed second largest eigenvalue

Jack Koolen

arXiv (Cornell University), 2018

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Regular graphs with small second largest eigenvalue

Zoran Stanić

Applicable Analysis and Discrete Mathematics, 2013

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A generalization of Turán's theorem to directed graphs

William Trotter

Discrete Mathematics, 1980

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An Extremal Property of Turán Graphs

Felix Lazebnik

Electronic Journal of Combinatorics, 2010

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A combinatorial bound on the number of distinct eigenvalues of a graph

Sarah Allred

2022

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An Extremal Property of Turán Graphs, II

Felix Lazebnik

Journal of Graph Theory, 2013

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Another extremal problem for Turan graphs

Bruce Hedman

Discrete Mathematics, 1987

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Spectral upper bounds for the order of a k-regular induced subgraph

Domingos Moreira cardoso

Linear Algebra and its Applications, 2010

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A generalization of a Turán’s theorem about maximum clique on graphs

Anderson Porto

Electronic Journal of Graph Theory and Applications

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Edge-Connectivity, Eigenvalues, and Matchings in Regular Graphs

Suil Oh, Sebastian Cioabă

SIAM Journal on Discrete Mathematics, 2010

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Spectral upper bounds on the size of k-regular induced subgraphs

Domingos Cardoso

Electronic Notes in Discrete Mathematics, 2009

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Some spectral inequalities for triangle-free regular graphs

Zoran Stanić

Filomat, 2013

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Improving an upper bound on the size of k-regular induced subgraphs

Carlos Luz

Journal of Combinatorial Optimization, 2010

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Spectral results on regular graphs with (k,τ)-regular sets

Domingos Moreira cardoso

Discrete Mathematics, 2007

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Spectral Bounds for the k-Regular Induced Subgraph Problem

Domingos Moreira cardoso

Springer Proceedings in Mathematics & Statistics, 2017

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The spectral excess theorem for graphs with few eigenvalues whose distance-2 or distance-1-or-2 graph is strongly regular

Jack Koolen

Linear and Multilinear Algebra

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Turán's theorem for pseudo-random graphs

Jozef Skokan, Vojtěch Rödl

Journal of Combinatorial Theory, Series A, 2007

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An application of Tutte’s Theorem to 1-factorization of regular graphs of high degree

Anthony Hilton

Discrete Mathematics, 2009

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A note on bipartite subgraphs of triangle-free regular graphs

Stephen Locke

Journal of Graph Theory, 1990

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On t-Cliques in k-Walk-Regular Graphs

Ernest Valle

Electronic Notes in Discrete Mathematics, 2009

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Some exact results for generalized Turán problems

Cory Palmer

European Journal of Combinatorics, 2022

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Maximizing the Order of a Regular Graph of Given Valency and Second Eigenvalue

Jack Koolen

SIAM Journal on Discrete Mathematics

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Maximum k -regular induced subgraphs

Domingos Cardoso

Journal of Combinatorial Optimization, 2007

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Main eigenvalues and (κ,τ)-regular sets

Domingos Moreira cardoso

Linear Algebra and its Applications, 2010

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Regular subgraphs of almost regular graphs

Shmuel Friedland

Journal of Combinatorial Theory, Series B, 1984

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On distance-regular graphs with smallest eigenvalue at least -m

Jack Koolen

Journal of Combinatorial Theory, 2010

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The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph

Terry Lau

Linear Algebra and its Applications, 2018

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Sesqui-regular graphs with fixed smallest eigenvalue

Jack Koolen

2019

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On subgraphs of C2k-free graphs and a problem of Kühn and Osthus

Casey Tompkins

Combinatorics, Probability and Computing, 2020

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The second eigenvalue of regular graphs of given girth

Patrick Sole

Journal of Combinatorial Theory, Series B, 1992

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Integral graphs and -regular sets

Paula Rama

Linear Algebra and its Applications, 2010

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Turán Problems and Shadows III: Expansions of Graphs

Jacques Verstraete

SIAM Journal on Discrete Mathematics, 2015

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The critical window for the classical Ramsey-Turán problem

Jacob Fox

Combinatorica, 2014

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The structure of (t,r)-regular graphs of large order

Robert Jamison

Discrete Mathematics, 2003

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On the total domatic number of regular graphs

Mahmoud Sheikholeslami

2012

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