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EJC
2010
13 years 4 months ago
Shilla distance-regular graphs
A Shilla distance-regular graph (say with valency k) is a distance-regular graph with diameter 3 such that its second largest eigenvalue equals to a3. We will show that a3 divide...
Jack H. Koolen, Jongyook Park
COMBINATORICS
1998
87views more  COMBINATORICS 1998»
13 years 4 months ago
Crooked Functions, Bent Functions, and Distance Regular Graphs
T. D. Bending, Dmitry Fon-Der-Flaass
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
13 years 4 months ago
Quasi-Spectral Characterization of Strongly Distance-Regular Graphs
A graph with diameter d is strongly distance-regular if is distanceregular and its distance-d graph d is strongly regular. The known examples are all the connected strongly regu...
Miguel Angel Fiol
JCT
2008
100views more  JCT 2008»
13 years 4 months ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
Frank Vallentin
APPML
2004
79views more  APPML 2004»
13 years 4 months ago
Distance regularity of compositions of graphs
We study preservation of distance regularity when taking strong sums and strong products of distance-regular graphs. MSC 2000 Classification: 05C12
Dragan Stevanovic