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An Upper Bound on the Average Size of Silhouettes

✍ Scribed by M. Glisse; S. Lazard


Publisher
Springer
Year
2008
Tongue
English
Weight
619 KB
Volume
40
Category
Article
ISSN
0179-5376

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An upper bound on the number average molecular weight of a molecular mixture is derived in terms of quantities measured in mass spectrometry. The upper bound is useful for samples that do not completely sublime, such as the less soluble subfractions of vacuum residue. Using the upper bound it is sho

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## Abstract We produce in this paper an upper bound for the number of vertices existing in a clique of maximum cardinal. The proof is based in particular on the existence of a maximum cardinal clique that contains no vertex __x__ such that the neighborhood of __x__ is contained in the neighborhood

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## Abstract A graph is point determining if distinct vertices have distinct neighborhoods. The nucleus of a point‐determining graph is the set __G__^O^ of all vertices, __v__, such that __G__–__v__ is point determining. In this paper we show that the size, Ο‰(__G__), of a maximum clique in __G__ sat