Tilburg University
Characterizing Distance-Regularity of Graphs by the Spectrum
van Dam, E.R.; Haemers, W.H.; Koolen, J.H.; Spence, E.
Publication date:
2005
Document Version
Publisher's PDF, also known as Version of record Link to publication in Tilburg University Research Portal
Citation for published version (APA):
van Dam, E. R., Haemers, W. H., Koolen, J. H., & Spence, E. (2005). Characterizing Distance-Regularity of Graphs by the Spectrum. (CentER Discussion Paper; Vol. 2005-19). Operations research.
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No. 2005–19
CHARACTERIZING DISTANCE-REGULARITY OF GRAPHS BY
THE SPECTRUM
By E.R. van Dam, W.H. Haemers, J.H. Koolen, E. Spence
January 2005
@ $ 1 $ / " $ / " 1$ $ $ " / " / $ 1 / "A & $ 4 $ $ $ E - @ 2A $ $ + : $ $ / 1 # ) @ A " " % 1 $ $ / $ $ 0 $ $ 4 $ $ $ $ 0 $ @ A $ $ $ + / + $ 8 8 @!A / ! < $ E @ / B2 2G,+2G CA $ $ / $ !+ / $ 4 $ $ ' 1 $ @ A 1$ $ @ A+ 1$ $ + / + @!A 1$ ; + $ $ 1$ $ $ 0 $ @ A 1$ $ $ 0 $ @ A </ $ $ + / $ $ $$ $ $ $ 7 / $ $ $ $ & $$ $ $ $ $ ; / 1 $ $ / $ $ $ $ # $ 1 $ $ $ / $ $ = 1 1 5 $ / 1 7 $ $ $ $ $ $ 1$ 5 $ / $ ; $ $ 1 $ 1 $ $ $ 0 $ @ A $ $ 1 1 # " 2 # + @!A 8 / @2 2A+ % E / $ $ $ / 1 $ $ ' 1 $ @ A 1$ $ @ A+ / 1$ $ $ $ / 1 1 5
/ $ 8 5 / / $ @& A 1$ & @ 2A+
/ % E $ @ A+ / % $ & $ 5 / / $ + / $ % E $ @ A+ $ @< / 1 $ + / % $ 1 $ % A < 1 / 1 $ @ A 1$ $ @ A 1$ $ $ $ / $ ; $ @ A $ $ $ / $ 1 $ $ 0 $ @ A $ $ $ $ / 1 @& A @ A
1$ & @ 2A+ / % @ 2A+ / %
@ / $ 8 5 A 7 / E & @ A+
/ % % @ A+ $ & 9 @& A 1$ &