SOME GRAPH PROPERTIES OF r1- NONDERANGED PERMUTATION GRAPHS

Aremu, K. O., Issa, F. A., Muhammad. A.. Tasiu, A. R. & Muhammed I. M. (2023). On Generators and Undirected Cayley graphs of 1-Non-Deranged Permutation Groups. International Journal of Science for Global Sustainability, 9(2), 108-112. https://doi.org/10.57233/ijsgs.v9i2.466

Aminu, I.A., Ojonugwa, E. And Aremu, K.O. (2016). On the Representations of 1-Nonderanged Permutation Group, Advances in pure mathematics, 6(9), 608-614. https://doi.org/10.4236/amp.2016.69049

Aremu, K.O.,Ejima O. & Abdullahi M.S.(2017b). On the Fuzzy 1-Non deranged Permutation Group Gp 1. Asian Journal of Mathematics and Computer Research,18(4), 152-157. https://ikprress.org/index.php/AJOMCOR/article/view/1060

Chartrand, G. & Harary, F. (1967). Planar Permutation Graph. Ann. Ins. Henri Poincare, 3(4), 433-438. https://www.numdam.org/item?id=AIHPB_1967__3_4_433_0

Chartrand, G., Geller, D. & Hedetniemi, S. (1971). Graph with Forbidden Subgraphs, Journal of Combinatorial Theory, Series B, 10, 12-41. https://cdn.isr.umich.edu/pubFiles/historicPublications/Graphswithforbiddensubgraphs_2632.PDF

Garba, A.I., Haruna, M., Maryam, S. & Suleiman (2021). Counting the Orbits of Non-deranged permutation group. Academic Journal of Statistics and Mathematics, 7(11), 1-7. https://www.cirdjournal.com/index.php/ajsm

Harary, F. & Buckley, F. (1994). Distance in Graph. Redwood city, CA: Addison Wesley. https://www.emgywomenscollege.ac.in

Jonathan, L. G. & Jay, Y. (2005). Graph Theory and its Applications. Chapman and Hall,

FL:CRC Press. https://doi.org/10.1201/9781420057140

Koh, Y. & Ree, S. (2005). Determination of permutation Graph. Honam Mathematical Journal, 27(2), 183-194. https://www.researchgate.net/publication/266939196

Koh, Y. & Ree, S. (2007). Connected Permutation Graph. Discrete Mathematics, 307(21), 2628-2635. https://doi.org/10.1016/j.disc.2006.11.014

Pnueli, A., Lempel, A. & Even, S. (1971). Transitive Orientation of Graphs and Identification of Permutation Graph. Canadian Journal of Mathematics. 23, (1), 160-175. https://doi.org/10.4153/cjm-1971-016-5

Suleiman I., Garba A.I, & Mustafa A. (2020). On Some Non-Deranged Permutation: A New Method of Construction. International Journal of Granthaalayah, 8(3), 309-314. https://doi.org/10.29121/granthaalayah.v8.i3.2020.162

Yusuf, A. & Ejima, O. (2023). Some Properties of Extended 1-Nonderanged Permutation Group. Federal University Dutsinma Journal of Sciences (FUDMA), 7(3), 332-336. https://doi.org/10.33003/fjs-2023-0703-2031

Yusuf, A. & Umar, A., (2025). On Power Graph Representation of -nonderanged Permutation Group, UMYU Scientifica, 4(1), 53-61. https://doi.org/10.56919/usci.2541.006