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The International Journal of the Royal Society of Thailand
                                                                                                Volume XV-2023



                  If the number of these frequent co-authors exceeded 10, we included only the top 10
                  frequent co-authors. In addition, frequent co-authors who do not affiliate with an
                  organization in Thailand, as well as those who have co-authored fewer than 3 articles,

                  were excluded. Subsequently, publication records of the remaining frequent co-authors
                  of the Index Researcher IR_01, regarded as Researchers in Circle 1 (RC_1), were retrieved
                  from the database for further analyses. The snowball sampling process was iterated

                  for all members of RC_1 to incorporate their frequent co-authors into Circle 2 (RC_2),
                  and this process continued until we reached Researchers in Circle 4 (RC_4).


                  Characteristics of co-authorship networks
                         Publication records of each included individual researcher were employed

                  to establish a weighted, ego-centric co-authorship network, using igraph package
                  (Csardi & Nepusz, 2006). Given the significant impact of paper mills on the academic

                  community in recent years (Abalkina, 2022), we restricted our analysis to publication
                  records from the past five years, spanning from January 31, 2018, to January 31, 2023.
                  Additionally, we restricted our analysis to publications with fewer than 25 co-authors

                  to emphasize co-authorships characterized by relatively equal contributions, as opposed
                  to those with a larger number of co-authors.

                         In the co-authorship network of each researcher (ego), nodes represented
                  co-authors  (alters)  of  the  ego.  Edges  in  the  network  were  non-directional  and

                  indicated that two researchers had collaborated on an article, with the weight of the
                  edges determined by the number of articles they co-authored. Publication record

                  profiles  of  each  researcher  were  subsequently  described  using  three  following
                  categories: 1) Researcher (ego) characteristics; 2) Co-author (alters) characteristics; and
                  3) Ego-centric co-authorship network characteristics.


                         Firstly, researcher characteristics encompassed the following variables: 1) Time
                  since the first publication (in years), reflecting their experience in their research career;
                  2) Average annual publication count over the past 5 years; 3) Maximum annual

                  publication count over the past 5 years; 4) Proportions of published articles categorized
                  as review articles, systematic review articles, or meta-analysis articles; and 5) Diversity
                  of ANZSRC 2020 research domains, calculated using Shannon’s index of diversity

                  (entropy) (Shannon, 1948).

                         The characteristics of co-authors were described as proportions of the geographical
                  subregions of their respective countries of affiliation, calculated as a ratio to the total

                  number of co-authors. The geographical subregions were classified following the M49



                        Phrutsamon Wongnak et al.                                                          5
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