Asao, Yasuhiko; Hiraoka, Yasuaki; Kanazawa, Shu Girth, magnitude homology and phase transition of diagonality. (English) Zbl 07796365 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 1, 221-247 (2024). Reviewer: Bastian Rieck (München) MSC: 55N35 05C31 05C80 60C05 PDFBibTeX XMLCite \textit{Y. Asao} et al., Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 1, 221--247 (2024; Zbl 07796365) Full Text: DOI arXiv
Abdelgadir, Tarig; Mellit, Anton; Rodriguez Villegas, Fernando The Tutte polynomial and toric Nakajima quiver varieties. (English) Zbl 1498.05137 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 5, 1323-1339 (2022). MSC: 05C31 16G20 PDFBibTeX XMLCite \textit{T. Abdelgadir} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 5, 1323--1339 (2022; Zbl 1498.05137) Full Text: DOI arXiv
Grbić, Jelena; Simmons, George; Ilyasova, Marina; Panov, Taras One-relator groups and algebras related to polyhedral products. (English) Zbl 1487.20014 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 1, 128-147 (2022). MSC: 20F55 20F65 55P15 05E45 57M07 57T30 13F55 PDFBibTeX XMLCite \textit{J. Grbić} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 1, 128--147 (2022; Zbl 1487.20014) Full Text: DOI arXiv Link
Dor-On, Adam; Linden, Christopher All finite transitive graphs admit a self-adjoint free semigroupoid algebra. (English) Zbl 1473.05105 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 391-406 (2021). MSC: 05C20 05C25 05C76 47L55 47L15 PDFBibTeX XMLCite \textit{A. Dor-On} and \textit{C. Linden}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 391--406 (2021; Zbl 1473.05105) Full Text: DOI arXiv
Zhu, Bao-Xuan; Wang, Qingxiu Unimodality of independence polynomials of rooted products of graphs. (English) Zbl 1459.05251 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2573-2585 (2020). MSC: 05C69 05C31 05C76 05A20 PDFBibTeX XMLCite \textit{B.-X. Zhu} and \textit{Q. Wang}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2573--2585 (2020; Zbl 1459.05251) Full Text: DOI
Jia, Dennis X. Q.; Wang, Larry X. W. Determinantal inequalities for the partition function. (English) Zbl 1437.05023 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1451-1466 (2020). MSC: 05A20 05A17 11P82 11C20 PDFBibTeX XMLCite \textit{D. X. Q. Jia} and \textit{L. X. W. Wang}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1451--1466 (2020; Zbl 1437.05023) Full Text: DOI
Guo, Victor J. W.; Wang, Su-Dan Some congruences involving fourth powers of central \(q\)-binomial coefficients. (English) Zbl 1468.11067 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1127-1138 (2020). MSC: 11B65 05A10 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{S.-D. Wang}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1127--1138 (2020; Zbl 1468.11067) Full Text: DOI
Aguiar, Manuela A. D.; Dias, Ana P. S.; Soares, Pedro Characterization of fundamental networks. (English) Zbl 1437.92046 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 453-474 (2020). MSC: 92C42 92C37 05C90 PDFBibTeX XMLCite \textit{M. A. D. Aguiar} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 453--474 (2020; Zbl 1437.92046) Full Text: DOI arXiv
Bremner, Murray; Dotsenko, Vladimir Boardman-Vogt tensor products of absolutely free operads. (English) Zbl 1442.18044 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 367-385 (2020). MSC: 18M60 05A15 05E16 18N10 18G10 52C22 PDFBibTeX XMLCite \textit{M. Bremner} and \textit{V. Dotsenko}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 367--385 (2020; Zbl 1442.18044) Full Text: DOI arXiv
Zhang, Philip B. Interlacing polynomials and the Veronese construction for rational formal power series. (English) Zbl 1437.05018 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 1-16 (2020). MSC: 05A15 13A02 13C14 26C10 52B20 52B45 PDFBibTeX XMLCite \textit{P. B. Zhang}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 1--16 (2020; Zbl 1437.05018) Full Text: DOI arXiv
Rosales, J. C.; Branco, M. B. A problem of integer partitions and numerical semigroups. (English) Zbl 1484.05019 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 4, 969-978 (2019). Reviewer: M. P. Chaudhary (New Delhi) MSC: 05A17 11P81 20M14 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{M. B. Branco}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 4, 969--978 (2019; Zbl 1484.05019) Full Text: DOI Link
Yao, Olivia X. M. Infinite families of congruences modulo 5 and 7 for the cubic partition function. (English) Zbl 1467.11093 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 5, 1189-1205 (2019). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 5, 1189--1205 (2019; Zbl 1467.11093) Full Text: DOI
Zhu, Bao-Xuan Positivity and continued fractions from the binomial transformation. (English) Zbl 1415.05008 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 3, 831-847 (2019). MSC: 05A10 05A20 05A30 11A55 11B83 PDFBibTeX XMLCite \textit{B.-X. Zhu}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 3, 831--847 (2019; Zbl 1415.05008) Full Text: DOI
He, Bing On extensions of Van Hamme’s conjectures. (English) Zbl 1446.11006 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 5, 1017-1027 (2018). MSC: 11A07 05A10 33C20 PDFBibTeX XMLCite \textit{B. He}, Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 5, 1017--1027 (2018; Zbl 1446.11006) Full Text: DOI
Xia, Ernest X. W. On the log-concavity of the sequence \(\{\root n \of {S_n}\}_{n=1}^\infty\) for some combinatorial sequences \(\{S_n\}_{n=0}^\infty\). (English) Zbl 1393.05057 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 4, 881-892 (2017). MSC: 05A20 05A10 PDFBibTeX XMLCite \textit{E. X. W. Xia}, Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 4, 881--892 (2018; Zbl 1393.05057) Full Text: DOI
Dolinka, Igor; East, James Twisted Brauer monoids. (English) Zbl 1489.20025 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 4, 731-750 (2018). MSC: 20M20 20M17 05E16 PDFBibTeX XMLCite \textit{I. Dolinka} and \textit{J. East}, Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 4, 731--750 (2017; Zbl 1489.20025) Full Text: DOI arXiv
Zhu, Bao-Xuan Log-concavity and strong \(q\)-log-convexity for Riordan arrays and recursive matrices. (English) Zbl 1379.05003 Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 6, 1297-1310 (2017). MSC: 05A10 05A20 11B73 11B83 15B36 PDFBibTeX XMLCite \textit{B.-X. Zhu}, Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 6, 1297--1310 (2017; Zbl 1379.05003) Full Text: DOI
Best, Andrew; Huan, Karen; McNew, Nathan; Miller, Steven J.; Powell, Jasmine; Tor, Kimsy; Weinstein, Madeleine Geometric-progression-free sets over quadratic number fields. (English) Zbl 1431.11018 Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 2, 245-262 (2017). MSC: 11B05 11B75 11Y60 05D10 11R04 11R11 PDFBibTeX XMLCite \textit{A. Best} et al., Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 2, 245--262 (2017; Zbl 1431.11018) Full Text: DOI arXiv
Nedeva, Todorka Rings of power series in the binomial polynomials. (English) Zbl 1175.05010 Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 3, 597-618 (2008). MSC: 05A10 16W60 PDFBibTeX XMLCite \textit{T. Nedeva}, Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 3, 597--618 (2008; Zbl 1175.05010) Full Text: DOI
Huck, Günther; Rosebrock, Stephan Spherical diagrams and labelled oriented trees. (English) Zbl 1134.57002 Proc. R. Soc. Edinb., Sect. A, Math. 137, No. 3, 519-530 (2007). Reviewer: Riccardo Piergallini (Camerino) MSC: 57M20 57M15 05C05 05C10 05C20 PDFBibTeX XMLCite \textit{G. Huck} and \textit{S. Rosebrock}, Proc. R. Soc. Edinb., Sect. A, Math. 137, No. 3, 519--530 (2007; Zbl 1134.57002) Full Text: DOI
Vdovina, A. On the number of nonorientable Wicks forms in a free group. (English) Zbl 0867.05026 Proc. R. Soc. Edinb., Sect. A 126, No. 1, 113-116 (1996). MSC: 05C25 PDFBibTeX XMLCite \textit{A. Vdovina}, Proc. R. Soc. Edinb., Sect. A, Math. 126, No. 1, 113--116 (1996; Zbl 0867.05026) Full Text: DOI
Fouché, W. L. Unavoidable regularities and factor permutations of words. (English) Zbl 0840.20060 Proc. R. Soc. Edinb., Sect. A 125, No. 3, 519-524 (1995). Reviewer: P.Lakatos (Debrecen) MSC: 20M05 05A05 68Q45 20M35 PDFBibTeX XMLCite \textit{W. L. Fouché}, Proc. R. Soc. Edinb., Sect. A, Math. 125, No. 3, 519--524 (1995; Zbl 0840.20060) Full Text: DOI
Umar, Abdullahi On the semigroups of order-decreasing finite full transformations. (English) Zbl 0746.20048 Proc. R. Soc. Edinb., Sect. A 120, No. 1-2, 129-142 (1992). Reviewer: K.D.Magill (Buffalo) MSC: 20M20 05A15 11B73 PDFBibTeX XMLCite \textit{A. Umar}, Proc. R. Soc. Edinb., Sect. A, Math. 120, No. 1--2, 129--142 (1992; Zbl 0746.20048) Full Text: DOI
Howie, John M.; Lusk, Ewing L.; McFadden, Robert B. Combinatorial results relating to products of idempotents in finite full transformation semigroups. (English) Zbl 0719.20034 Proc. R. Soc. Edinb., Sect. A 115, No. 3-4, 289-299 (1990). Reviewer: K.D.Magill, jun.(Buffalo) MSC: 20M20 05A19 20-04 PDFBibTeX XMLCite \textit{J. M. Howie} et al., Proc. R. Soc. Edinb., Sect. A, Math. 115, No. 3--4, 289--299 (1990; Zbl 0719.20034) Full Text: DOI
Garba, G. U. Idempotents in partial transformation semigroups. (English) Zbl 0719.20033 Proc. R. Soc. Edinb., Sect. A 116, No. 3-4, 359-366 (1990). Reviewer: K.D.Magill, jun.(Buffalo) MSC: 20M20 20M05 05A19 11B73 PDFBibTeX XMLCite \textit{G. U. Garba}, Proc. R. Soc. Edinb., Sect. A, Math. 116, No. 3--4, 359--366 (1990; Zbl 0719.20033) Full Text: DOI
Howie, John M.; McFadden, Robert B. Idempotent rank in finite full transformation semigroups. (English) Zbl 0704.20050 Proc. R. Soc. Edinb., Sect. A 114, No. 3-4, 161-167 (1990). Reviewer: K.D.Magill jun MSC: 20M20 20M05 05A15 11B73 PDFBibTeX XMLCite \textit{J. M. Howie} and \textit{R. B. McFadden}, Proc. R. Soc. Edinb., Sect. A, Math. 114, No. 3--4, 161--167 (1990; Zbl 0704.20050) Full Text: DOI
Mahmud, R. M. S. Presentation of groups acting on trees with inversions. (English) Zbl 0695.20019 Proc. R. Soc. Edinb., Sect. A 113, No. 3-4, 235-241 (1989). Reviewer: C.J.B.Brookes MSC: 20F05 05C25 05C05 PDFBibTeX XMLCite \textit{R. M. S. Mahmud}, Proc. R. Soc. Edinb., Sect. A, Math. 113, No. 3--4, 235--241 (1989; Zbl 0695.20019) Full Text: DOI
Bell, F. K.; Rowlinson, P. The change in index of a graph resulting from the attachment of a pendant edge. (English) Zbl 0719.05047 Proc. R. Soc. Edinb., Sect. A 108, No. 1-2, 67-74 (1988). MSC: 05C50 PDFBibTeX XMLCite \textit{F. K. Bell} and \textit{P. Rowlinson}, Proc. R. Soc. Edinb., Sect. A, Math. 108, No. 1--2, 67--74 (1988; Zbl 0719.05047) Full Text: DOI
Prince, Alan R. On certain permutation representations of the Hall-Janko group. (English) Zbl 0661.20011 Proc. R. Soc. Edinb., Sect. A 110, No. 3-4, 287-294 (1988). Reviewer: R.A.Wilson MSC: 20D08 05B25 51E15 PDFBibTeX XMLCite \textit{A. R. Prince}, Proc. R. Soc. Edinb., Sect. A, Math. 110, No. 3--4, 287--294 (1988; Zbl 0661.20011) Full Text: DOI
Rowlinson, Peter A deletion-contraction algorithm for the characteristic polynomial of a multigraph. (English) Zbl 0717.05064 Proc. R. Soc. Edinb., Sect. A 105, 153-160 (1987). MSC: 05C99 PDFBibTeX XMLCite \textit{P. Rowlinson}, Proc. R. Soc. Edinb., Sect. A, Math. 105, 153--160 (1987; Zbl 0717.05064) Full Text: DOI
Wright, E. M. Corrigendum: Enumeration of smooth labelled graphs. (English) Zbl 0622.05033 Proc. R. Soc. Edinb., Sect. A 107, 197 (1987). MSC: 05C30 PDFBibTeX XMLCite \textit{E. M. Wright}, Proc. R. Soc. Edinb., Sect. A, Math. 107, 197 (1987; Zbl 0622.05033) Full Text: DOI
Kadir, G. A.; Key, J. D. The Steiner system S(5,8,24) constructed from dual affine planes. (English) Zbl 0603.51006 Proc. R. Soc. Edinb., Sect. A 103, 147-160 (1986). Reviewer: J.Libicher MSC: 51E10 05B05 PDFBibTeX XMLCite \textit{G. A. Kadir} and \textit{J. D. Key}, Proc. R. Soc. Edinb., Sect. A, Math. 103, 147--160 (1986; Zbl 0603.51006) Full Text: DOI
Anderson, I. Counting common representatives and symmetric chain decompositions. (English) Zbl 0572.05003 Proc. R. Soc. Edinb., Sect. A 100, 151-155 (1985). Reviewer: E.Fuchs MSC: 05A05 06A06 PDFBibTeX XMLCite \textit{I. Anderson}, Proc. R. Soc. Edinb., Sect. A, Math. 100, 151--155 (1985; Zbl 0572.05003) Full Text: DOI
Rowlinson, Peter Certain 3-decompositions of complete graphs, with an application to finite fields. (English) Zbl 0562.05044 Proc. R. Soc. Edinb., Sect. A 99, 277-281 (1985). Reviewer: B.Zelinka MSC: 05C99 11T06 05C25 PDFBibTeX XMLCite \textit{P. Rowlinson}, Proc. R. Soc. Edinb., Sect. A, Math. 99, 277--281 (1985; Zbl 0562.05044) Full Text: DOI
Rowlinson, Peter On the number of simple eigenvalues of a graph. (English) Zbl 0532.05046 Proc. R. Soc. Edinb., Sect. A 94, 247-250 (1983). Reviewer: D.A.Holton MSC: 05C50 05C25 05B99 PDFBibTeX XMLCite \textit{P. Rowlinson}, Proc. R. Soc. Edinb., Sect. A, Math. 94, 247--250 (1983; Zbl 0532.05046) Full Text: DOI
Prince, Alan R. Steiner triple systems of order 19 constructed from the Steiner triple system of order 9. (English) Zbl 0514.05017 Proc. R. Soc. Edinb., Sect. A 94, 90-92 (1983). MSC: 05B07 PDFBibTeX XMLCite \textit{A. R. Prince}, Proc. R. Soc. Edinb., Sect. A, Math. 94, 90--92 (1983; Zbl 0514.05017) Full Text: DOI
Wright, E. M. Enumeration of smooth labelled graphs. (English) Zbl 0478.05050 Proc. R. Soc. Edinb., Sect. A 91, 205-212 (1982). MSC: 05C30 PDFBibTeX XMLCite \textit{E. M. Wright}, Proc. R. Soc. Edinb., Sect. A, Math. 91, 205--212 (1982; Zbl 0478.05050) Full Text: DOI
Houghton, C. H. Counting completely O-simple and completely simple semigroups. (English) Zbl 0419.20047 Proc. R. Soc. Edinb., Sect. A 79, 293-297 (1977). MSC: 20M10 20M30 05C30 05C25 PDFBibTeX XMLCite \textit{C. H. Houghton}, Proc. R. Soc. Edinb., Sect. A, Math. 79, 293--297 (1977; Zbl 0419.20047) Full Text: DOI
Jack, Henry A class of symmetric polynomials with a parameter. (English) Zbl 0198.04606 Proc. R. Soc. Edinb., Sect. A 69, 1-18 (1970). MSC: 05E05 33C52 PDFBibTeX XMLCite \textit{H. Jack}, Proc. R. Soc. Edinb., Sect. A, Math. 69, 1--18 (1970; Zbl 0198.04606)
Aitken, A. C. The monomial expansion of determinantal symmetric functions. (English) Zbl 0063.00032 Proc. R. Soc. Edinb., Sect. A 61, 300-310 (1943). MSC: 05E05 15A15 PDFBibTeX XMLCite \textit{A. C. Aitken}, Proc. R. Soc. Edinb., Sect. A, Math. 61, 300--310 (1943; Zbl 0063.00032) Full Text: DOI