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                                                    Publication and Citation Analysis
























              Figure 5.7 Generational structure.

              5.13.3 An Illustrative Example
              Consider the generational structure shown in Fig. 5.7; all publications are
              articles.
                 Using Fig. 5.7 we illustrate the difference between these definitions of
              generations.
                 Description of the citation network:
                 Let A 5 {a,b} be the target set; articles b, c, and f cite article a; article
              b moreover cites article c; articles d, e, and f cite article c; besides articles
              a and c, article f also cites articles b and g; article g cites article b; and
              finally, articles h, i, and j cite article f. We now describe the generations.
                 As sets we have:

                                         G 0 5 fa; bg


                                          s

                                        G 5 c; f ; g
                                          1

                                        s
                                      G 5 d; e; h; i; j
                                        2
              and
                                         H 0 5 fa; bg

                                         s

                                       H 5 b; c; f ; g
                                         1
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