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                                                    Publication and Citation Analysis

              name (Rousseau, 2002a) and Pascal’s triangle was known to Jia Xian
              (c. 1010 1070) in China and to Omar Khayyam (1048 1131) in
              Persia. We even have Stigler’s law (Stigler, 1980) which states that no
              scientific discovery is named after its original discoverer (of course,
              Stigler’s law was not discovered by Stigler).



              5.8 THE ETHICS OF CITING
              Citing is also an ethical question. Citing an article, and consequently, its
              authors is recognizing an intellectual debt. Honesty requires that this is effec-
              tively done. Not citing on purpose is a form of dishonesty, sometimes
              referred to as idea-plagiarism (Chaddah, 2014). Yet not trying to retrieve
              who was first or who discussed a topic in depth is a form of laziness that
              takes from others something they deserve. As with most ethical problems it is
              difficult to draw a line. Which references should one include in a reference
              list and which are considered not influential enough for one’s research?
              Moreover, related to the retrieval question: Should a western scientist ask a
              specialist to search in Russian, Persian, Chinese, or Japanese language data-
              bases? And should one expect Russian, Iranian, Chinese, or Japanese collea-
              gues to search through English, French, or Spanish language databases?
                 Kelly P. Downing in (Sills, 2014) warns against not checking original
              sources and hence perpetuation of invalidated ideas or misinterpretation
              of data.
                 The more citations play a role in evaluations of scientists the more not
              citing takes away from colleagues not only honor or prestige, but also
              money and possibly progress in their career.



              5.9 CITATION NETWORKS AND THE MATHEMATICS OF
              CITATION
              5.9.1 Generalities on Citation Networks or Graphs

              When document d i cites document d j this can be represented by an arrow
              linking a node representing d i to a node representing d j (see Fig. 5.3).
                 In this way the documents of a collection D form a directed graph or
              network, which is called a citation network. Using a so-called adjacency
              matrix is another way of representing a citation network. In this representa-
              tion one considers a matrix (a table consisting of rows and columns). In this
              adjacency matrix a 1 is placed in the cell for which the row corresponds to
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