Triangle- and pentagon-free distance-regular graphs with an eigenvalue multiplicity equal to the valency (original) (raw)
Related papers
A new family of distance-regular graphs with unbounded diameter
Inventiones mathematicae, 2005
On classes of regular graphs with constant metric dimension
Acta Mathematica Scientia, 2013
European Journal of Combinatorics, 2008
2007
New infinite family of regular edge-isoperimetric graphs
Theoretical Computer Science, 2018
New small regular graphs of girth 5
Discrete Mathematics, 2017
Energies of some Non-regular Graphs
Journal of Mathematical Chemistry, 2006
Distance-regular graphs without 4-claws
European Journal of Combinatorics
On graph of order-n with the metric dimension n-3
Some new aspects of main eigenvalues of graphs
Computational and Applied Mathematics
Some results on the largest and least eigenvalues of graphs
The Electronic Journal of Linear Algebra, 2014
Weak-Geodetically Closed Subgraphs in Distance-Regular Graphs
Graphs and Combinatorics, 1998
The structure of (t,r)-regular graphs of large order
Discrete Mathematics, 2003
On distance-regular graphs with smallest eigenvalue at least -m
Journal of Combinatorial Theory, 2010
On the distance spectrum of distance regular graphs
Linear Algebra and its Applications, 2015
Distance spectrum of graph compositions
Ars Mathematica Contemporanea, 2009
The Distance-regular Graphs with Intersection Number a1!=0 and with an Eigenvalue -1-(b1/2)
Combinatorica, 1998
On the multiplicity of eigenvalues of distance-regular graphs
Linear Algebra and Its Applications, 1995
On crossing numbers of geometric proximity graphs
Computational Geometry, 2011
On the Edge-sets of Rigid and Corigid Graphs
Mathematische Nachrichten, 1979
On the rotation distance of graphs
Discrete Mathematics, 1994
Eigenpolytopes of distance regular graphs
Canadian Journal of Mathematics, 1998
On the Geometry of Graph Arrangements
2004
On regular graphs equienergetic with their complements
Linear and multilinear algebra, 2022
Graphs with Metric Dimension Two A Characterization
Determination of the distance-regular graphs without 3-claws
Discrete Mathematics, 1997
An Eigenvalue Characterization of Antipodal Distance-Regular Graphs
The Electronic Journal of Combinatorics
Distance–regular graphs having the M -property
Angeles Carmona, Margarida Mitjana
Linear and Multilinear Algebra, 2012
Journal of Combinatorial Theory, Series A, 2011
The Laplacian spectral radius of bicyclic graphs with a given girth
Computers & Mathematics with Applications, 2010
The Kauman Polynomial and Trivalent Graphs
Kyungpook mathematical journal, 2015
On the Aα-spectral radius of connected graphs
Ars Mathematica Contemporanea
Shilla distance-regular graphs
European Journal of Combinatorics, 2010
Journal of Discrete Mathematical Sciences and Cryptography, 2012