On Graphs of a Finite Full Transformation Semigroup

KORKMAZ E.

Experimental Mathematics, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1080/10586458.2024.2410175
  • Dergi Adı: Experimental Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: connected graphs, full transformation semigroup, zero-divisor graphs
  • Çukurova Üniversitesi Adresli: Evet

Özet

For (Formula presented.), let (Formula presented.) denote the full transformation semigroup on (Formula presented.), and let π denote the constant map defined by (Formula presented.) for all (Formula presented.). Consider the sets: (Formula presented.) (Formula presented.) (Formula presented.) and (Formula presented.). We define two undirected graphs, denoted by (Formula presented.) and (Formula presented.), as simple graphs whose vertex sets are (Formula presented.) and (Formula presented.), and whose two distinct vertices α and β are adjacent if and only if (Formula presented.) or (Formula presented.). We then investigate some properties of both (Formula presented.) and (Formula presented.).