On distance-regular graphs with smallest eigenvalue at least -m (original) (raw)

The Distance-regular Graphs with Intersection Number a1!=0 and with an Eigenvalue -1-(b1/2)

Jack Koolen

Combinatorica, 1998

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On the multiplicity of eigenvalues of distance-regular graphs

Jack Koolen

Linear Algebra and Its Applications, 1995

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Triangle-free distance-regular graphs with an eigenvalue multiplicity equal to their valency and diameter 3

Arjana Žitnik

European Journal of Combinatorics, 2008

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On the distance spectrum of distance regular graphs

Fouzul Atik

Linear Algebra and its Applications, 2015

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Distance–regular graphs having the M -property

Angeles Carmona, Margarida Mitjana

Linear and Multilinear Algebra, 2012

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Tight Distance-Regular Graphs

Jack Koolen

Journal of Algebraic Combinatorics, 2001

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Some Interlacing Results for the Eigenvalues of Distance-regular graphs

Jack Koolen

Designs, Codes and Cryptography, 2005

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Non-bipartite distance-regular graphs with a small smallest eigenvalue

Jack Koolen

arXiv (Cornell University), 2019

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Graphs with few distinct distance eigenvalues irrespective of the diameters

Fouzul Atik

The Electronic Journal of Linear Algebra, 2015

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On distance-regular graphs without 4-claws

Alexander Makhnev

Doklady Mathematics, 2013

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Algebraic characterizations of distance-regular graphs

Miguel Fiol

Discrete Mathematics, 2002

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Triangle and pentagon-free distance-regular graphs with an eigenvalue multiplicity equal to the valency

Jack Koolen

European Journal of Combinatorics, 2008

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An Eigenvalue Characterization of Antipodal Distance-Regular Graphs

Miguel Fiol

The Electronic Journal of Combinatorics

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The geometry of t-cliques in k-walk-regular graphs

Cristina Dalfo, Ernest Valle

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Distance-regular graphs without 4-claws

Jack Koolen

European Journal of Combinatorics

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On almost distance-regular graphs

E. Van Dam, Cristina Dalfo, Ernest Valle

Journal of Combinatorial Theory, Series A, 2011

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Eigenpolytopes of distance regular graphs

Chris Godsil

Canadian Journal of Mathematics, 1998

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On the existence of certain distance-regular graphs

Kees Roos

Journal of Combinatorial Theory, Series B, 1982

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On t-Cliques in k-Walk-Regular Graphs

Ernest Valle

Electronic Notes in Discrete Mathematics, 2009

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Edge-distance-regular graphs

J. Fàbrega

Journal of Combinatorial Theory, Series A, 2011

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On the Metric Dimension of Imprimitive Distance-Regular Graphs

Robert Bailey

Annals of Combinatorics, 2016

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A new family of distance-regular graphs with unbounded diameter

Jack Koolen

Inventiones Mathematicae, 2004

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Nonexistence of a Class of Distance-Regular Graphs

Chih-wen Weng

The Electronic Journal of Combinatorics, 2015

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Distance-regular graphs where the distance-d graph has fewer distinct eigenvalues

Miquel Àngel Fiol Mora

Linear Algebra and its Applications, 2015

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Characterization of certain distance-regular graphs by forbidden subgraphs

Alexander Makhnev

Doklady Mathematics, 2007

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Partially Distance-regular Graphs and Partially Walk-regular Graphs

Chih-wen Weng

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Distance-regular graphs

Jack Koolen

2014

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Nonexistence of some Antipodal Distance-regular Graphs of Diameter Four

Jack Koolen

European Journal of Combinatorics, 2000

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