School of Mathematics and Statistics

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Browsing School of Mathematics and Statistics by Author "Kivunge, Bernard"

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    ON SOME PROPERTIES AND LIMITATIONS IN THE ISBN-13 CODE
    (2012) Kamaku, P. Waweru; Kivunge, Bernard; Wangeci, Cecilia
    The International Standard Book Number system-13 (ISBN-13 ) is a thirteen digit code which uniquely identifies every book pub lished internationally. The code was formed as an improvement to the ISBN-10 code whic h could detect and correct some errors but could generate fewer code words t hus the great need for expansion. This paper highlights some properties, discuss es major limitations and shows the error detection and correction capabilities in th e code versus the effect the total number of code words that the code can generate.
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    Suborbits and Suborbital Graphs of the Symmetric Group acting on Ordered r-element Subsets
    (2013) Rimberia, Jane; Kamuti, Ireri; Kivunge, Bernard; Kinyua, Francis
    The ranks and subdegrees of the symmetric group n S acting on [ ] r X , the set of all ordered r -element subsets from X have been studied (See Rimberia [4]). In this pape r, we examine some properties of suborbits and suborbital graphs of n S acting on [ ] r X