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EJC
2010
14 years 10 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»
14 years 9 months ago
Crooked Functions, Bent Functions, and Distance Regular Graphs
T. D. Bending, Dmitry Fon-Der-Flaass
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
14 years 10 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»
14 years 10 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»
14 years 10 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