On the partitions associated with the smallest eigenvalues of certain Cayley graphs on symmetric group generated by cycles

• المؤلفون الرئيسيون: Lau, Terry Shue Chien, Wong, Kok Bin
• التنسيق: مقال
• منشور في: Elsevier 2021
• الموضوعات: QA Mathematics
• الوصول للمادة أونلاين: http://eprints.um.edu.my/27568/

Let S-n be the symmetric group on n] = {1, 2, ... , n} and Z(n)(s) = {alpha is an element of S-n : alpha is an s-cycle} where 2 <= s <= n. In this paper, we determine all the partitions associated with the smallest eigenvalues of the Cayley graph Gamma(S-n, Z(n)(s)) for s = 3. (C) 2021 Elsevie...