Covering by star domains

Bambah, R. P. ; Dumir, V. C. ; Hans-Gill, R. J. (1977) Covering by star domains Indian Journal of Pure and Applied Mathematics, 8 (3). pp. 344-350. ISSN 0019-5588

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Abstract

If S is a symmetrical convex domain in R2 then it is known that the best general covering density θ (S) of S is equal to its best lattice covering density θL(S). Examples of symmetrical as well as non- symmetrical star domains S in R2 are given for which θ (S) < θ L(S). For cylinders e = S × [-½ , ½] based on symmetrical convex domains S in R2 one has θL(S) = θL(C). It is shown that this result need not hold if S is a star domain.

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Deposited On:28 Nov 2011 04:58
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