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A051427 Number of strictly Deza graphs with n nodes. +0
1
0, 0, 0, 0, 0, 0, 0, 3, 2, 1, 0, 6, 1 (list; graph; listen)
OFFSET

1,8

COMMENT

From the Erikson et al. paper: We consider the following generalization of strongly regular graphs. A graph G is a Deza graph if it is regular and the number of common neighbors of two distinct vertices takes on one of two values (not necessarily depending on the adjacency of the two vertices). We introduce several ways to construct Deza graphs and develop some basic theory. We also list all diameter two Deza graphs which are not strongly regular and have at most 13 vertices. - Jonathan Vos Post (jvospost3(AT)gmail.com), Jul 06 2008

REFERENCES

M. Erickson et al., Deza graphs: a generalization of strongly regular graphs, J. Comb. Des., 7 (1999), 395-405.

LINKS

M. Erickson, S. Fernando, W. H. Haemers, D. Hardy and J. Hemmeter, Deza graphs: A generalization of strongly regular graph, J. Combinatorial Designs, Vol 7, Issue 6, 395-405, Oct 21, 1999.

CROSSREFS

Cf. A000517, A076434, A076435, A088741.

Sequence in context: A031251 A128317 A084269 this_sequence A098825 A111460 A035327

Adjacent sequences: A051424 A051425 A051426 this_sequence A051428 A051429 A051430

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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