Lau, Terry Shue Chien; Wong, Kok Bin The spectrum of Cayley graphs on symmetric group generated by certain subset of \(r\)-cycles. (English) Zbl 1504.05129 Bull. Iran. Math. Soc. 48, No. 6, 2981-2993 (2022). MSC: 05C25 20B30 PDFBibTeX XMLCite \textit{T. S. C. Lau} and \textit{K. B. Wong}, Bull. Iran. Math. Soc. 48, No. 6, 2981--2993 (2022; Zbl 1504.05129) Full Text: DOI
DeDeo, M. R. On the energy of transposition graphs. (English) Zbl 1500.05034 Hoffman, Frederick (ed.), Combinatorics, graph theory and computing. Proceedings of the 51st southeastern international conference, SEICCGTC 2020, Boca Raton, USA, March 9–13, 2020. Cham: Springer. Springer Proc. Math. Stat. 388, 305-316 (2022). MSC: 05C50 05C25 05C82 68M10 PDFBibTeX XMLCite \textit{M. R. DeDeo}, Springer Proc. Math. Stat. 388, 305--316 (2022; Zbl 1500.05034) Full Text: DOI
Liu, Xiaogang; Zhou, Sanming Eigenvalues of Cayley graphs. (English) Zbl 1492.05093 Electron. J. Comb. 29, No. 2, Research Paper P2.9, 164 p. (2022). Reviewer: Carlos M. da Fonseca (Safat) MSC: 05C50 05C25 PDFBibTeX XMLCite \textit{X. Liu} and \textit{S. Zhou}, Electron. J. Comb. 29, No. 2, Research Paper P2.9, 164 p. (2022; Zbl 1492.05093) Full Text: arXiv
Sotnikova, Ev; Valyuzhenich, Alexandr Minimum supports of eigenfunctions of graphs: a survey. (English) Zbl 1509.05120 Art Discrete Appl. Math. 4, No. 2, Paper No. P2.09, 34 p. (2021). MSC: 05C50 05E30 05B30 15A18 PDFBibTeX XMLCite \textit{E. Sotnikova} and \textit{A. Valyuzhenich}, Art Discrete Appl. Math. 4, No. 2, Paper No. P2.09, 34 p. (2021; Zbl 1509.05120) Full Text: DOI arXiv
Lau, Terry Shue Chien; Wong, Kok Bin On the partitions associated with the smallest eigenvalues of certain Cayley graphs on symmetric group generated by cycles. (English) Zbl 1473.05173 Linear Algebra Appl. 630, 179-203 (2021). MSC: 05C50 05C70 05C25 20C10 05A05 PDFBibTeX XMLCite \textit{T. S. C. Lau} and \textit{K. B. Wong}, Linear Algebra Appl. 630, 179--203 (2021; Zbl 1473.05173) Full Text: DOI
Khomyakova, Ekaterina; Konstantinova, Elena V. Catalogue of the Star graph eigenvalue multiplicities. (English) Zbl 1462.05230 Arab. J. Math. 10, No. 1, 115-119 (2021). MSC: 05C50 05C25 05E10 05E16 90B10 PDFBibTeX XMLCite \textit{E. Khomyakova} and \textit{E. V. Konstantinova}, Arab. J. Math. 10, No. 1, 115--119 (2021; Zbl 1462.05230) Full Text: DOI
Kabanov, Vladislav V.; Konstantinova, Elena V.; Shalaginov, Leonid; Valyuzhenich, Alexandr The Star graph eigenfunctions with non-zero eigenvalues. (English) Zbl 1458.05144 Linear Algebra Appl. 610, 222-226 (2021). MSC: 05C50 05C25 05E10 PDFBibTeX XMLCite \textit{V. V. Kabanov} et al., Linear Algebra Appl. 610, 222--226 (2021; Zbl 1458.05144) Full Text: DOI
Ghorbani, M.; Songhori, M. On the spectrum of Cayley graphs. (English) Zbl 1491.05101 Algebra Discrete Math. 30, No. 2, 194-206 (2020). MSC: 05C25 05C50 20D60 PDFBibTeX XMLCite \textit{M. Ghorbani} and \textit{M. Songhori}, Algebra Discrete Math. 30, No. 2, 194--206 (2020; Zbl 1491.05101) Full Text: DOI
Kabanov, Vladislav; Konstantinova, Elena V.; Shalaginov, Leonid; Valyuzhenich, Alexandr Minimum supports of eigenfunctions with the second largest eigenvalue of the star graph. (English) Zbl 1439.05139 Electron. J. Comb. 27, No. 2, Research Paper P2.14, 16 p. (2020). MSC: 05C50 05C25 05E16 05B30 05C35 PDFBibTeX XMLCite \textit{V. Kabanov} et al., Electron. J. Comb. 27, No. 2, Research Paper P2.14, 16 p. (2020; Zbl 1439.05139) Full Text: DOI arXiv
Goryainov, Sergey; Kabanov, Vladislav; Konstantinova, Elena; Shalaginov, Leonid; Valyuzhenich, Alexandr \(PI\)-eigenfunctions of the Star graphs. (English) Zbl 1429.05125 Linear Algebra Appl. 586, 7-27 (2020). MSC: 05C50 05C25 PDFBibTeX XMLCite \textit{S. Goryainov} et al., Linear Algebra Appl. 586, 7--27 (2020; Zbl 1429.05125) Full Text: DOI arXiv
Guo, W.; Lytkina, D. V.; Mazurov, V. D.; Revin, D. O. Integral Cayley graphs. (English. Russian original) Zbl 1434.05069 Algebra Logic 58, No. 4, 297-305 (2019); translation from Algebra Logika 58, No. 4, 445-457 (2019). MSC: 05C25 05C50 PDFBibTeX XMLCite \textit{W. Guo} et al., Algebra Logic 58, No. 4, 297--305 (2019; Zbl 1434.05069); translation from Algebra Logika 58, No. 4, 445--457 (2019) Full Text: DOI arXiv
Ghorbani, Modjtaba; Larki, Farzaneh Nowroozi On the spectrum of finite Cayley graphs. (English) Zbl 1481.05095 J. Discrete Math. Sci. Cryptography 21, No. 1, 83-112 (2018). MSC: 05C50 05C25 20C15 PDFBibTeX XMLCite \textit{M. Ghorbani} and \textit{F. N. Larki}, J. Discrete Math. Sci. Cryptography 21, No. 1, 83--112 (2018; Zbl 1481.05095) Full Text: DOI
Khomyakova, Ekaterina N. On the eigenvalues multiplicity function of the star graph. (Russian. English summary) Zbl 1411.05167 Sib. Èlektron. Mat. Izv. 15, 1416-1425 (2018). MSC: 05C50 05C25 05E10 05E15 PDFBibTeX XMLCite \textit{E. N. Khomyakova}, Sib. Èlektron. Mat. Izv. 15, 1416--1425 (2018; Zbl 1411.05167) Full Text: DOI
Ku, Cheng Yeaw; Lau, Terry; Wong, Kok Bin The spectrum of eigenvalues for certain subgraphs of the \(k\)-point fixing graph. (English) Zbl 1387.05157 Linear Algebra Appl. 543, 72-91 (2018). MSC: 05C50 05A05 PDFBibTeX XMLCite \textit{C. Y. Ku} et al., Linear Algebra Appl. 543, 72--91 (2018; Zbl 1387.05157) Full Text: DOI
Ku, Cheng Yeaw; Lau, Terry; Wong, Kok Bin On the partition associated to the smallest eigenvalues of the \(k\)-point fixing graph. (English) Zbl 1365.05178 Eur. J. Comb. 63, 70-94 (2017). MSC: 05C50 05C70 PDFBibTeX XMLCite \textit{C. Y. Ku} et al., Eur. J. Comb. 63, 70--94 (2017; Zbl 1365.05178) Full Text: DOI
Ku, Cheng Yeaw; Lau, Terry; Wong, Kok Bin Largest independent sets of certain regular subgraphs of the derangement graph. (English) Zbl 1342.05101 J. Algebr. Comb. 44, No. 1, 81-98 (2016). MSC: 05C69 05C25 20B30 05C50 PDFBibTeX XMLCite \textit{C. Y. Ku} et al., J. Algebr. Comb. 44, No. 1, 81--98 (2016; Zbl 1342.05101) Full Text: DOI
Ku, Cheng Yeaw; Lau, Terry; Wong, Kok Bin The smallest eigenvalues of the 1-point fixing graph. (English) Zbl 1329.05192 Linear Algebra Appl. 493, 433-446 (2016). MSC: 05C50 05C25 05A05 20B30 PDFBibTeX XMLCite \textit{C. Y. Ku} et al., Linear Algebra Appl. 493, 433--446 (2016; Zbl 1329.05192) Full Text: DOI
Ku, Cheng Yeaw; Lau, Terry; Wong, Kok Bin Cayley graph on symmetric group generated by elements fixing \(k\) points. (English) Zbl 1307.05143 Linear Algebra Appl. 471, 405-426 (2015). MSC: 05C50 05A05 PDFBibTeX XMLCite \textit{C. Y. Ku} et al., Linear Algebra Appl. 471, 405--426 (2015; Zbl 1307.05143) Full Text: DOI arXiv
Chen, Bai Fan; Ghorbani, Ebrahim; Wong, Kok Bin On the eigenvalues of certain Cayley graphs and arrangement graphs. (English) Zbl 1285.05087 Linear Algebra Appl. 444, 246-253 (2014). MSC: 05C25 05C50 20C10 05A05 PDFBibTeX XMLCite \textit{B. F. Chen} et al., Linear Algebra Appl. 444, 246--253 (2014; Zbl 1285.05087) Full Text: DOI arXiv