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AKCE International Journal of Graphs and Combinatorics Volume 20, 2023 - Issue 2: International Conference on Linear Algebra and its Applications; Guest editors: Ravindra B Bapat, Manjunatha Prasad Karantha,Stephen J Kirkland, Simo Puntanen, S Arumugam
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Research Articles

Descending endomorphism graphs of groups

Vinay Madhusudanana Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, IndiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-8200-7190
ORCID Icon,
G. Sudhakaraa Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, IndiaORCID Iconhttps://orcid.org/0000-0002-4677-631X
ORCID Icon &
Arjit Sethb Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Hong Kong, ChinaORCID Iconhttps://orcid.org/0000-0002-2144-0502
ORCID Icon
Pages 148-155 | Received 07 Jun 2023, Accepted 05 Jul 2023, Published online: 15 Aug 2023

References

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  • Cameron, P. J., Ghosh, S. (2011). The power graph of a finite group. Discrete Math. 311: 1220–1222.
  • Chakrabarty, I., Ghosh, S., Sen, M. K. (2009). Undirected power graphs of semigroups. Semigroup Forum 78: 410–426.
  • Kelarev, A. V., Quinn, S. J. (2000). A combinatorial property and power graphs of groups. Contributions to General Algebra 12. Proceedings of the 58th Workshop on General Algebra “58. Arbeitstagung Allgemeine Algebra”, Vienna, Austria, June 3–6, 1999, Klagenfurt: Verlag Johannes Heyn, pp. 229–235.
  • Madhusudanan, V., Seth, A., Sudhakara, G. (2023). Descending endomorphisms of groups. Palest. J. Math 12(1): 318–325.
  • Madhusudanan, V., Seth, A., Sudhakara, G. Descending endomorphisms of some families of groups. In: Bapat, R. B., Karantha, M. P., Kirkland, S. J., Neogy, S. K., Pati, S., Puntanen, S., eds. Applied Linear Algebra, Probability and Statistics: A Volume in Honour of C. R. Rao and Arbind K. Lal. Singapore: Springer Nature, pp. 409–424.
  • Manna, P., Cameron, P. J., Mehatari, R. (2021). Forbidden subgraphs of power graphs. Electron. J. Comb. 28: P3.4.
  • Mirzargar, M., Ashrafi, A. R., Nadjafi-Arani, M. J. (2012). On the power graph of a finite group. Filomat 26: 1201–1208.
  • Roman, S. (2011). Fundamentals of Group Theory: An Advanced Approach. Bücher: SpringerLink; Boston: Birkhäuser.
  • Scott, W. R. (1987). Group Theory. Dover Books on Mathematics. Mineola, NY: Dover Publications.

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