{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:34:27Z","timestamp":1753882467885,"version":"3.41.2"},"reference-count":10,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2023,1]]},"abstract":"<jats:p> Let [Formula: see text] be a partition of vertex set [Formula: see text] of order [Formula: see text] of a graph [Formula: see text]. The [Formula: see text]-complement of [Formula: see text] denoted by [Formula: see text] is defined as for all [Formula: see text] and [Formula: see text] in [Formula: see text], [Formula: see text], remove the edges between [Formula: see text] and [Formula: see text] in [Formula: see text] and add the edges between [Formula: see text] and [Formula: see text] which are not in [Formula: see text]. The graph [Formula: see text] is called [Formula: see text]-self-complementary if [Formula: see text]. For a graph [Formula: see text], [Formula: see text]-complement of [Formula: see text] denoted by [Formula: see text] is defined as for each [Formula: see text] remove the edges of [Formula: see text] inside [Formula: see text] and add the edges of [Formula: see text] by joining the vertices of [Formula: see text]. The graph [Formula: see text] is called [Formula: see text]-self-complementary if [Formula: see text] for some partition [Formula: see text] of order [Formula: see text]. In this paper, we determine generalized self-complementary graphs of forest, double star and unicyclic graphs. <\/jats:p>","DOI":"10.1142\/s1793830922500653","type":"journal-article","created":{"date-parts":[[2022,3,14]],"date-time":"2022-03-14T08:22:55Z","timestamp":1647246175000},"source":"Crossref","is-referenced-by-count":0,"title":["Some results on generalized self-complementary graphs"],"prefix":"10.1142","volume":"15","author":[{"given":"H. 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