On the strong non-rigidity of certain tight Euclidean designs
نویسندگان
چکیده
We study the non-rigidity of Euclidean t-designs, namely we study when Euclidean designs (in particular certain tight Euclidean designs) can be deformed keeping the property of being Euclidean t-designs. We show that certain tight Euclidean t-designs are non-rigid, and in fact satisfy a stronger form of non-rigidity which we call strong non-rigidity. This shows that there are plenty of non-isomorphic tight Euclidean t-designs for certain parameters, which seems to have been unnoticed before. We also include the complete classification of tight Euclidean 2-designs. c © 2007 Published by Elsevier Ltd
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ورودعنوان ژورنال:
- Eur. J. Comb.
دوره 28 شماره
صفحات -
تاریخ انتشار 2007