Aptekarev, A. I.; Denisov, S. A.; Yattselev, M. L. Discrete Schrödinger operator on a tree, Angelesco potentials, and their perturbations. (English. Russian original) Zbl 07308450 Proc. Steklov Inst. Math. 311, 1-9 (2020); translation from Tr. Mat. Inst. Steklova 311, 5-13 (2020). MSC: 39A70 39A12 37E25 34L40 33C45 PDF BibTeX XML Cite \textit{A. I. Aptekarev} et al., Proc. Steklov Inst. Math. 311, 1--9 (2020; Zbl 07308450); translation from Tr. Mat. Inst. Steklova 311, 5--13 (2020) Full Text: DOI
Ahmed, Elsayed; Savchuk, Dmytro Endomorphisms of regular rooted trees induced by the action of polynomials on the ring \(\mathbb{Z}_d\) of \(d\)-adic integers. (English) Zbl 07272215 J. Algebra Appl. 19, No. 8, Article ID 2050154, 20 p. (2020). MSC: 20E08 37A25 PDF BibTeX XML Cite \textit{E. Ahmed} and \textit{D. Savchuk}, J. Algebra Appl. 19, No. 8, Article ID 2050154, 20 p. (2020; Zbl 07272215) Full Text: DOI
Muthukumar, Perumal; Ponnusamy, Saminathan Composition operators on Hardy spaces of the homogenous rooted trees. (English) Zbl 07212147 Monatsh. Math. 192, No. 3, 721-743 (2020). MSC: 47B33 47B38 05C05 37E25 30H10 46B50 PDF BibTeX XML Cite \textit{P. Muthukumar} and \textit{S. Ponnusamy}, Monatsh. Math. 192, No. 3, 721--743 (2020; Zbl 07212147) Full Text: DOI
Krasko, Evgeniy; Omelchenko, Alexander Enumeration of unsensed orientable and non-orientable maps. (English) Zbl 1437.05107 Eur. J. Comb. 86, Article ID 103093, 25 p. (2020). MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{E. Krasko} and \textit{A. Omelchenko}, Eur. J. Comb. 86, Article ID 103093, 25 p. (2020; Zbl 1437.05107) Full Text: DOI
Dubois, Catherine; Giorgetti, Alain Tests and proofs for custom data generators. (English) Zbl 1425.68373 Formal Asp. Comput. 30, No. 6, 659-684 (2018). MSC: 68T15 68P05 PDF BibTeX XML Cite \textit{C. Dubois} and \textit{A. Giorgetti}, Formal Asp. Comput. 30, No. 6, 659--684 (2018; Zbl 1425.68373) Full Text: DOI
Zeilberger, Noam; Giorgetti, Alain A correspondence between rooted planar maps and normal planar lambda terms. (English) Zbl 1448.03010 Log. Methods Comput. Sci. 11, No. 3, Paper No. 22, 39 p. (2015). MSC: 03B40 05C10 05C15 05C30 68N18 PDF BibTeX XML Cite \textit{N. Zeilberger} and \textit{A. Giorgetti}, Log. Methods Comput. Sci. 11, No. 3, Paper No. 22, 39 p. (2015; Zbl 1448.03010) Full Text: DOI arXiv
Schaeffer, Gilles Planar maps. (English) Zbl 1326.05036 Bóna, Miklós (ed.), Handbook of enumerative combinatorics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-2085-8/hbk; 978-1-4822-2086-5/ebook). Discrete Mathematics and its Applications, 335-395 (2015). MSC: 05C10 05A15 05C30 05C62 PDF BibTeX XML Cite \textit{G. Schaeffer}, in: Handbook of enumerative combinatorics. Boca Raton, FL: CRC Press. 335--395 (2015; Zbl 1326.05036)
Walsh, Timothy R. S.; Giorgetti, Alain Efficient enumeration of rooted maps of a given orientable genus by number of faces and vertices. (English) Zbl 1317.05090 Ars Math. Contemp. 7, No. 2, 263-280 (2014). Reviewer: Geir Agnarsson (Fairfax) MSC: 05C30 PDF BibTeX XML Cite \textit{T. R. S. Walsh} and \textit{A. Giorgetti}, Ars Math. Contemp. 7, No. 2, 263--280 (2014; Zbl 1317.05090) Full Text: DOI
Oliynyk, Bogdana The diagonal limits of Hamming spaces. (English) Zbl 1321.54041 Algebra Discrete Math. 15, No. 2, 229-236 (2013). MSC: 54B35 54E35 54E40 PDF BibTeX XML Cite \textit{B. Oliynyk}, Algebra Discrete Math. 15, No. 2, 229--236 (2013; Zbl 1321.54041)
Bleak, Collin; Bowman, Hannah; Lynch, Alison Gordon; Graham, Garrett; Hughes, Jacob; Matucci, Francesco; Sapir, Eugenia Centralizers in the R. Thompson group \(V_n\). (English) Zbl 1298.20052 Groups Geom. Dyn. 7, No. 4, 821-865 (2013). Reviewer: Łukasz Garncarek (Warszawa) MSC: 20F65 20E07 37C85 37E05 20E32 20F05 57S25 PDF BibTeX XML Cite \textit{C. Bleak} et al., Groups Geom. Dyn. 7, No. 4, 821--865 (2013; Zbl 1298.20052) Full Text: DOI arXiv
Walsh, Timothy R. Counting maps on doughnuts. (English) Zbl 1301.05179 Theor. Comput. Sci. 502, 4-15 (2013). MSC: 05C30 PDF BibTeX XML Cite \textit{T. R. Walsh}, Theor. Comput. Sci. 502, 4--15 (2013; Zbl 1301.05179) Full Text: DOI
D’Angeli, Daniele; Donno, Alfredo Appendix: Gelfand pairs associated with the action of \(G\). (English) Zbl 1269.20023 Eur. J. Comb. 33, No. 7, 1422-1426 (2012). MSC: 20E08 05C25 37E25 05C05 43A85 43A90 PDF BibTeX XML Cite \textit{D. D'Angeli} and \textit{A. Donno}, Eur. J. Comb. 33, No. 7, 1422--1426 (2012; Zbl 1269.20023) Full Text: DOI
Šunić, Zoran Pattern closure of groups of tree automorphisms. (English) Zbl 1262.20032 Bull. Math. Sci. 1, No. 1, 115-127 (2011). MSC: 20E08 22C05 37B10 37E25 PDF BibTeX XML Cite \textit{Z. Šunić}, Bull. Math. Sci. 1, No. 1, 115--127 (2011; Zbl 1262.20032) Full Text: DOI
Mednykh, Alexander; Giorgetti, Alain Enumeration of genus-four maps by number of edges. (English) Zbl 1237.05104 Ars Math. Contemp. 4, No. 2, 351-361 (2011). MSC: 05C30 57R18 20H10 PDF BibTeX XML Cite \textit{A. Mednykh} and \textit{A. Giorgetti}, Ars Math. Contemp. 4, No. 2, 351--361 (2011; Zbl 1237.05104) Full Text: DOI
Xu, Yan; Liu, Yan Pei The number of rooted circuit boundary maps. (English) Zbl 1216.05020 Acta Math. Sin., Engl. Ser. 26, No. 9, 1653-1666 (2010). MSC: 05C10 05C30 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{Y. P. Liu}, Acta Math. Sin., Engl. Ser. 26, No. 9, 1653--1666 (2010; Zbl 1216.05020) Full Text: DOI
Garoufalidis, Stavros; Mariño, Marcos Universality and asymptotics of graph counting problems in non-orientable surfaces. (English) Zbl 1245.05066 J. Comb. Theory, Ser. A 117, No. 6, 715-740 (2010). MSC: 05C30 PDF BibTeX XML Cite \textit{S. Garoufalidis} and \textit{M. Mariño}, J. Comb. Theory, Ser. A 117, No. 6, 715--740 (2010; Zbl 1245.05066) Full Text: DOI
D’Angeli, Daniele; Donno, Alfredo; Matter, Michel; Nagnibeda, Tatiana Schreier graphs of the Basilica group. (English) Zbl 1239.20031 J. Mod. Dyn. 4, No. 1, 167-205 (2010). MSC: 20E08 05C25 37E25 20F69 PDF BibTeX XML Cite \textit{D. D'Angeli} et al., J. Mod. Dyn. 4, No. 1, 167--205 (2010; Zbl 1239.20031) Full Text: DOI arXiv
d’Azevedo, Antonio Breda; Mednykh, Alexander; Nedela, Roman Enumeration of maps regardless of genus: geometric approach. (English) Zbl 1236.05109 Discrete Math. 310, No. 6-7, 1184-1203 (2010). MSC: 05C30 05C10 20H15 PDF BibTeX XML Cite \textit{A. B. d'Azevedo} et al., Discrete Math. 310, No. 6--7, 1184--1203 (2010; Zbl 1236.05109) Full Text: DOI
Drake, Dan The combinatorics of associated Hermite polynomials. (English) Zbl 1228.05323 Eur. J. Comb. 30, No. 4, 1005-1021 (2009). MSC: 05E40 33C45 PDF BibTeX XML Cite \textit{D. Drake}, Eur. J. Comb. 30, No. 4, 1005--1021 (2009; Zbl 1228.05323) Full Text: DOI arXiv
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce The map asymptotics constant \(t_{g}\). (English) Zbl 1159.05026 Electron. J. Comb. 15, No. 1, Research Paper R51, 8 p. (2008). MSC: 05C30 05C10 05A16 PDF BibTeX XML Cite \textit{E. A. Bender} et al., Electron. J. Comb. 15, No. 1, Research Paper R51, 8 p. (2008; Zbl 1159.05026) Full Text: EMIS EuDML
Xu, Yan; Liu, Yanpei Counting pan-fan maps on nonorientable surfaces. (English) Zbl 1174.05007 Ars Comb. 83, 15-32 (2007). MSC: 05A15 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{Y. Liu}, Ars Comb. 83, 15--32 (2007; Zbl 1174.05007)
Grigorchuk, Rostislav; Savchuk, Dmytro; Šunić, Zoran The spectral problem, substitutions and iterated monodromy. (English) Zbl 1138.20025 Dawson, Donald A. (ed.) et al., Probability and mathematical physics. A volume in honor of Stanislav Molchanov. Proceedings of a conference in honor of Stanislav Molchanov’s 65th birthday, Montreal, Canada, June 27–July 1, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4089-4/pbk). CRM Proceedings and Lecture Notes 42, 225-248 (2007). MSC: 20E08 37F10 60B15 PDF BibTeX XML Cite \textit{R. Grigorchuk} et al., in: Probability and mathematical physics. A volume in honor of Stanislav Molchanov. Proceedings of a conference in honor of Stanislav Molchanov's 65th birthday, Montreal, Canada, June 27--July 1, 2005. Providence, RI: American Mathematical Society (AMS). 225--248 (2007; Zbl 1138.20025) Full Text: arXiv
Xu, Yan; Liu, Yanpei The number of pan-fan maps on the projective plane. (English) Zbl 1124.05047 Util. Math. 72, 279-286 (2007). Reviewer: Timothy R. Walsh (Montréal) MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{Y. Liu}, Util. Math. 72, 279--286 (2007; Zbl 1124.05047)
Liu, Wenzhong; Liu, Yanpei \(\widetilde 5\)-essential rooted maps on \(N_{\widetilde 5}\). (English) Zbl 1123.05049 Util. Math. 72, 51-64 (2007). Reviewer: Timothy R. Walsh (Montréal) MSC: 05C30 05C10 05A15 PDF BibTeX XML Cite \textit{W. Liu} and \textit{Y. Liu}, Util. Math. 72, 51--64 (2007; Zbl 1123.05049)
Grigorchuk, Rostislav; Šunić, Zoran Self-similarity and branching in group theory. (English) Zbl 1185.20044 Campbell, C.M. (ed.) et al., Groups St. Andrews 2005. Vol. I. Selected papers of the conference, St. Andrews, UK, July 30–August 6, 2005. Cambridge: Cambridge University Press (ISBN 978-0-521-69469-8/pbk). London Mathematical Society Lecture Note Series 339, 36-95 (2007). MSC: 20F65 20E08 20F10 20F05 43A07 37A15 37F10 57M07 PDF BibTeX XML Cite \textit{R. Grigorchuk} and \textit{Z. Šunić}, Lond. Math. Soc. Lect. Note Ser. 339, 36--95 (2007; Zbl 1185.20044)
Brown, D. R. L.; Jackson, D. M. A rooted map invariant, non-orientability and Jack symmetric functions. (English) Zbl 1119.05027 J. Comb. Theory, Ser. B 97, No. 3, 430-452 (2007). Reviewer: Timothy R. Walsh (Montréal) MSC: 05C10 05E05 05C30 PDF BibTeX XML Cite \textit{D. R. L. Brown} and \textit{D. M. Jackson}, J. Comb. Theory, Ser. B 97, No. 3, 430--452 (2007; Zbl 1119.05027) Full Text: DOI
Li, Zhaoxiang; Liu, Yanpei Chromatic sums of general maps on the sphere and the projective plane. (English) Zbl 1114.05048 Discrete Math. 307, No. 1, 78-87 (2007). Reviewer: Timothy R. Walsh (Montréal) MSC: 05C30 05C10 05C15 PDF BibTeX XML Cite \textit{Z. Li} and \textit{Y. Liu}, Discrete Math. 307, No. 1, 78--87 (2007; Zbl 1114.05048) Full Text: DOI
Grigorchuk, Rostislav Solved and unsolved problems around one group. (English) Zbl 1165.20021 Bartholdi, Laurent (ed.) et al., Infinite groups: geometric, combinatorial and dynamical aspects. Based on the international conference on group theory: geometric, combinatorial and dynamical aspects of infinite groups, Gaeta, Italy, June 1–6, 2003. Basel: Birkhäuser (ISBN 3-7643-7446-2/hbk). Progress in Mathematics 248, 117-218 (2005). MSC: 20E08 20F10 20-02 20F50 20F65 20F69 20F05 20E18 20E26 20E34 PDF BibTeX XML Cite \textit{R. Grigorchuk}, Prog. Math. 248, 117--218 (2005; Zbl 1165.20021)
Cai, Junliang; Hao, Rongxia; Liu, Yanpei The enumeration of rooted cubic c-nets. (English) Zbl 1078.05041 J. Appl. Math. Comput. 18, No. 1-2, 329-337 (2005). Reviewer: Jack E. Graver (Syracuse) MSC: 05C30 05A40 PDF BibTeX XML Cite \textit{J. Cai} et al., J. Appl. Math. Comput. 18, No. 1--2, 329--337 (2005; Zbl 1078.05041) Full Text: DOI
Liskovets, Valery A.; Walsh, Timothy R. Counting unrooted loopless planar maps. (English) Zbl 1070.05050 Eur. J. Comb. 26, No. 5, 651-663 (2005). Reviewer: Jack E. Graver (Syracuse) MSC: 05C30 PDF BibTeX XML Cite \textit{V. A. Liskovets} and \textit{T. R. Walsh}, Eur. J. Comb. 26, No. 5, 651--663 (2005; Zbl 1070.05050) Full Text: DOI
Li, Zhaoxiang; Ren, Han; Liu, Yanpei Bisingular maps on some surfaces. (English) Zbl 1057.05029 Acta Math. Sci., Ser. B, Engl. Ed. 24, No. 2, 313-320 (2004). Reviewer: William G. Brown (MR 2004m:05082) MSC: 05C10 05C30 05C45 PDF BibTeX XML Cite \textit{Z. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 24, No. 2, 313--320 (2004; Zbl 1057.05029) Full Text: DOI
Mao, Linfan; Liu, Yanpei A new approach for enumerating maps on orientable surfaces. (English) Zbl 1054.05057 Australas. J. Comb. 30, 247-259 (2004). Reviewer: Timothy R. Walsh (Montréal) MSC: 05C30 05C10 05A15 PDF BibTeX XML Cite \textit{L. Mao} and \textit{Y. Liu}, Australas. J. Comb. 30, 247--259 (2004; Zbl 1054.05057)
Cai, Junliang; Liu, Yanpei Enumeration on nonseparable planar maps. (English) Zbl 1012.05088 Eur. J. Comb. 23, No. 8, 881-889 (2002). MSC: 05C30 05C10 PDF BibTeX XML Cite \textit{J. Cai} and \textit{Y. Liu}, Eur. J. Comb. 23, No. 8, 881--889 (2002; Zbl 1012.05088) Full Text: DOI
Ren, Han; Liu, Yanpei Enumeration of simple bipartite maps on the sphere and the projective plane. (English) Zbl 0995.05068 Discrete Math. 242, No. 1-3, 187-200 (2002). Reviewer: Timothy R.Walsh (Montréal) MSC: 05C30 05C45 PDF BibTeX XML Cite \textit{H. Ren} and \textit{Y. Liu}, Discrete Math. 242, No. 1--3, 187--200 (2002; Zbl 0995.05068) Full Text: DOI
Hao, Rongxia; Cai, Junliang; Liu, Yanpei Enumeration of maps on the projective plane. (English) Zbl 0992.05046 Acta Math. Appl. Sin., Engl. Ser. 17, No. 4, 567-573 (2001). MSC: 05C30 05C10 05A15 PDF BibTeX XML Cite \textit{R. Hao} et al., Acta Math. Appl. Sin., Engl. Ser. 17, No. 4, 567--573 (2001; Zbl 0992.05046) Full Text: DOI
Jackson, David M.; Visentin, Terry I. An atlas of the smaller maps in orientable and nonorientable surfaces. (English) Zbl 0966.05001 CRC Press Series on Discrete Mathematics and its Applications. Boca Raton, FL: Chapman & Hall/CRC. viii, 279 p. (2001). Reviewer: Arthur T.White (Kalamazoo) MSC: 05-00 05A99 05C10 57M15 57M50 57N05 PDF BibTeX XML Cite \textit{D. M. Jackson} and \textit{T. I. Visentin}, An atlas of the smaller maps in orientable and nonorientable surfaces. Boca Raton, FL: Chapman \& Hall/CRC (2001; Zbl 0966.05001)
Cai, Junliang; Liu, Yanpei The number of nearly 4-regular planar maps. (English) Zbl 0964.05032 Util. Math. 58, 243-254 (2000). Reviewer: William G.Brown (Montréal) MSC: 05C30 PDF BibTeX XML Cite \textit{J. Cai} and \textit{Y. Liu}, Util. Math. 58, 243--254 (2000; Zbl 0964.05032)
Wu, Faen; Liu, Yanpei Enumerations of one-vertex maps with face partition on the plane. (English) Zbl 0956.05056 Acta Math. Sci. (Engl. Ed.) 20, No. 2, 229-234 (2000). Reviewer: Timothy R.Walsh (Montreal) MSC: 05C30 PDF BibTeX XML Cite \textit{F. Wu} and \textit{Y. Liu}, Acta Math. Sci. (Engl. Ed.) 20, No. 2, 229--234 (2000; Zbl 0956.05056)
Ren, Han; Liu, Yanpei Counting rooted Eulerian maps on the projective plane. (English) Zbl 0956.05055 Acta Math. Sci. (Engl. Ed.) 20, No. 2, 169-174 (2000). Reviewer: Timothy R.Walsh (Montreal) MSC: 05C30 05C10 PDF BibTeX XML Cite \textit{H. Ren} and \textit{Y. Liu}, Acta Math. Sci. (Engl. Ed.) 20, No. 2, 169--174 (2000; Zbl 0956.05055)
Bousquet-Mélou, Mireille; Schaeffer, Gilles Enumeration of planar constellations. (English) Zbl 0955.05004 Adv. Appl. Math. 24, No. 4, 337-368 (2000). Reviewer: László A.Székely (Columbia/South Carolina) MSC: 05A15 05C05 57M15 05C30 PDF BibTeX XML Cite \textit{M. Bousquet-Mélou} and \textit{G. Schaeffer}, Adv. Appl. Math. 24, No. 4, 337--368 (2000; Zbl 0955.05004) Full Text: DOI
Del Lungo, Alberto; Del Ristoro, Francesco; Penaud, Jean-Guy Left ternary trees and non-separable rooted planar maps. (English) Zbl 0952.68117 Theor. Comput. Sci. 233, No. 1-2, 201-215 (2000). MSC: 68R99 05C30 57M99 PDF BibTeX XML Cite \textit{A. Del Lungo} et al., Theor. Comput. Sci. 233, No. 1--2, 201--215 (2000; Zbl 0952.68117) Full Text: DOI
Arquès, D.; Giorgetti, A. Counting rooted maps on a surface. (English) Zbl 0944.68178 Theor. Comput. Sci. 234, No. 1-2, 255-272 (2000). MSC: 68U05 PDF BibTeX XML Cite \textit{D. Arquès} and \textit{A. Giorgetti}, Theor. Comput. Sci. 234, No. 1--2, 255--272 (2000; Zbl 0944.68178) Full Text: DOI
Ren, Han; Liu, Yanpei; Liu, Tongyin Counting non-separable near-triangulations on the Möbius band. (English) Zbl 1009.05070 Northeast. Math. J. 15, No. 1, 115-120 (1999). MSC: 05C30 05C10 57Q15 57M15 PDF BibTeX XML Cite \textit{H. Ren} et al., Northeast. Math. J. 15, No. 1, 115--120 (1999; Zbl 1009.05070)
Liskovets, Valery A. A pattern of asymptotic vertex valency distributions in planar maps. (English) Zbl 0930.05050 J. Comb. Theory, Ser. B 75, No. 1, 116-133 (1999). Reviewer: Valery A.Liskovets (Dresden) MSC: 05C30 05C80 60C05 PDF BibTeX XML Cite \textit{V. A. Liskovets}, J. Comb. Theory, Ser. B 75, No. 1, 116--133 (1999; Zbl 0930.05050) Full Text: DOI
Jackson, D. M.; Visentin, T. I. A combinatorial relationship between Eulerian maps and hypermaps in orientable surfaces. (English) Zbl 0949.05019 J. Comb. Theory, Ser. A 87, No. 1, 120-150 (1999). Reviewer: Dan S.Archdeacon (Burlington) MSC: 05C10 05C30 PDF BibTeX XML Cite \textit{D. M. Jackson} and \textit{T. I. Visentin}, J. Comb. Theory, Ser. A 87, No. 1, 120--150 (1999; Zbl 0949.05019) Full Text: DOI
Goupil, Alain; Schaeffer, Gilles Factoring \(n\)-cycles and counting maps of given genus. (English) Zbl 0915.05007 Eur. J. Comb. 19, No. 7, 819-834 (1998). MSC: 05A17 05A15 PDF BibTeX XML Cite \textit{A. Goupil} and \textit{G. Schaeffer}, Eur. J. Comb. 19, No. 7, 819--834 (1998; Zbl 0915.05007) Full Text: DOI
Goulden, I. P.; Jackson, D. M. Maps in locally orientable surfaces and integrals over real symmetric surfaces. (English) Zbl 0903.05016 Can. J. Math. 49, No. 5, 865-882 (1997). Reviewer: Angèle Hamel (Christchurch) MSC: 05C10 05A15 05E05 15B52 57M15 05C30 PDF BibTeX XML Cite \textit{I. P. Goulden} and \textit{D. M. Jackson}, Can. J. Math. 49, No. 5, 865--882 (1997; Zbl 0903.05016) Full Text: DOI
Arquès, Didier; Béraud, Jean-François Enumeration of rooted maps on the Klein bottle. (Énumération des cartes pointées sur la bouteille de Klein.) (French) Zbl 0891.05040 RAIRO, Inform. Théor. Appl. 31, No. 4, 385-409 (1997). MSC: 05C30 05C10 PDF BibTeX XML Cite \textit{D. Arquès} and \textit{J.-F. Béraud}, RAIRO, Inform. Théor. Appl. 31, No. 4, 385--409 (1997; Zbl 0891.05040) Full Text: DOI EuDML
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng; Richmond, L. Bruce Submap density and asymmetry results for two parameter map families. (English) Zbl 0867.05029 Comb. Probab. Comput. 6, No. 1, 17-25 (1997). Reviewer: W.G.Brown (Montreal) MSC: 05C30 05C10 57M15 05C40 05C25 PDF BibTeX XML Cite \textit{E. A. Bender} et al., Comb. Probab. Comput. 6, No. 1, 17--25 (1997; Zbl 0867.05029) Full Text: DOI
Goulden, I. P.; Jackson, D. M. Maps in locally orientable surfaces, the double coset algebra, and zonal polynomials. (English) Zbl 0861.05062 Can. J. Math. 48, No. 3, 569-584 (1996). Reviewer: A.Vince (Gainesville) MSC: 05E05 05A15 57M15 05C10 PDF BibTeX XML Cite \textit{I. P. Goulden} and \textit{D. M. Jackson}, Can. J. Math. 48, No. 3, 569--584 (1996; Zbl 0861.05062) Full Text: DOI
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce; Wormald, Nicholas C. Asymptotic properties of rooted 3-connected maps on surfaces. (English) Zbl 0913.05041 J. Aust. Math. Soc., Ser. A 60, No. 1, 31-41 (1996). MSC: 05C10 05C30 05C15 PDF BibTeX XML Cite \textit{E. A. Bender} et al., J. Aust. Math. Soc., Ser. A 60, No. 1, 31--41 (1996; Zbl 0913.05041)
Gao, Zhicheng; Richmond, L. Bruce Root vertex valency distributions of rooted maps and rooted triangulations. (English) Zbl 0807.05026 Eur. J. Comb. 15, No. 5, 483-490 (1994). Reviewer: Z.Gao (Ottawa) MSC: 05C10 PDF BibTeX XML Cite \textit{Z. Gao} and \textit{L. B. Richmond}, Eur. J. Comb. 15, No. 5, 483--490 (1994; Zbl 0807.05026) Full Text: DOI
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce Almost all rooted maps have large representativity. (English) Zbl 0809.05060 J. Graph Theory 18, No. 6, 545-555 (1994). Reviewer: W.G.Brown (Montreal) MSC: 05C30 05C10 05C40 05C15 05C38 PDF BibTeX XML Cite \textit{E. A. Bender} et al., J. Graph Theory 18, No. 6, 545--555 (1994; Zbl 0809.05060) Full Text: DOI
Andrews, G. E.; Jackson, D. M.; Visentin, T. I. A hypergeometric analysis of the genus series for a class of 2-cell embeddings in orientable surfaces. (English) Zbl 0801.33006 SIAM J. Math. Anal. 25, No. 2, 243-255 (1994). Reviewer: P.W.Karlsson (Virum) MSC: 33C20 57N37 05A15 PDF BibTeX XML Cite \textit{G. E. Andrews} et al., SIAM J. Math. Anal. 25, No. 2, 243--255 (1994; Zbl 0801.33006) Full Text: DOI
Bender, Edward A.; Canfield, E. Rodney The number of degree-restricted rooted maps on the sphere. (English) Zbl 0794.05048 SIAM J. Discrete Math. 7, No. 1, 9-15 (1994). Reviewer: W.G.Brown (Montreal) MSC: 05C30 13F25 05C10 PDF BibTeX XML Cite \textit{E. A. Bender} and \textit{E. R. Canfield}, SIAM J. Discrete Math. 7, No. 1, 9--15 (1994; Zbl 0794.05048) Full Text: DOI
Bender, Edward A.; Richmond, L. Bruce; Wormald, N. C. Submaps of maps. IV: Degree restricted nonplanar maps. (English) Zbl 0842.05044 Ars Comb. 35A, 135-142 (1993). Reviewer: E.R.Canfield (MR 95j:52031) MSC: 05C30 52B70 05C10 57M15 PDF BibTeX XML Cite \textit{E. A. Bender} et al., Ars Comb. 35 A, 135--142 (1993; Zbl 0842.05044)
Gao, Zhicheng A pattern for the asymptotic number of rooted maps on surfaces. (English) Zbl 0792.05073 J. Comb. Theory, Ser. A 64, No. 2, 246-264 (1993). Reviewer: Z.Gao (Ottawa) MSC: 05C30 PDF BibTeX XML Cite \textit{Z. Gao}, J. Comb. Theory, Ser. A 64, No. 2, 246--264 (1993; Zbl 0792.05073) Full Text: DOI
Gao, Zhicheng The number of degree restricted maps on general surfaces. (English) Zbl 0792.05072 Discrete Math. 123, No. 1-3, 47-63 (1993). Reviewer: W.G.Brown (Montreal) MSC: 05C30 PDF BibTeX XML Cite \textit{Z. Gao}, Discrete Math. 123, No. 1--3, 47--63 (1993; Zbl 0792.05072) Full Text: DOI
Arquès, Didier; Jacques, Isabelle Classification of the genus-1 rooted maps and associated functional relation. (Classification des cartes pointées de genre 1 et relation fonctionnelle associée.) (French) Zbl 0792.05069 Theor. Comput. Sci. 117, No. 1-2, 45-65 (1993). Reviewer: T.R.Walsh (Montreal) MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{D. Arquès} and \textit{I. Jacques}, Theor. Comput. Sci. 117, No. 1--2, 45--65 (1993; Zbl 0792.05069) Full Text: DOI
Bender, E. A.; Canfield, E. R. Enumeration of degree restricted maps on the sphere. (English) Zbl 0790.05005 Trotter, William T. (ed.), Planar graphs. Workshop held at DIMACS from November 18, 1991 through November 21, 1991. Providence, RI: American Mathematical Society. DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 9, 13-16 (1993). Reviewer: P.Philippon (Paris) MSC: 05A15 05C10 05A16 PDF BibTeX XML Cite \textit{E. A. Bender} and \textit{E. R. Canfield}, DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 9, 13--16 (1993; Zbl 0790.05005)
Gao, Zhicheng The number of rooted maps with a fixed number of vertices. (English) Zbl 0777.05067 Ars Comb. 35, 151-159 (1993). Reviewer: T.R.Walsh (Montreal) MSC: 05C30 PDF BibTeX XML Cite \textit{Z. Gao}, Ars Comb. 35, 151--159 (1993; Zbl 0777.05067)
Bender, Edward A.; Canfield, E. Rodney; Richmond, L. Bruce The asymptotic number of rooted maps on a surface. II: Enumeration by vertices and faces. (English) Zbl 0777.05065 J. Comb. Theory, Ser. A 63, No. 2, 318-329 (1993). Reviewer: L.A.Székely (Budapest) MSC: 05C30 05C10 05A16 PDF BibTeX XML Cite \textit{E. A. Bender} et al., J. Comb. Theory, Ser. A 63, No. 2, 318--329 (1993; Zbl 0777.05065) Full Text: DOI
Jackson, D. M.; Richmond, L. B. The asymptotic behaviour of the number of three-connected triangulations of the disk, with a reflective symmetry in a line. (English) Zbl 0758.05058 Combinatorica 12, No. 2, 149-153 (1992). MSC: 05C30 05A15 05C10 57M99 PDF BibTeX XML Cite \textit{D. M. Jackson} and \textit{L. B. Richmond}, Combinatorica 12, No. 2, 149--153 (1992; Zbl 0758.05058) Full Text: DOI
Liu, Yanpei On the loopless Eulerian vertex partition equation. (English) Zbl 0782.05044 Chin. Sci. Bull. 36, No. 19, 1585-1589 (1991). Reviewer: Ch.Krattenthaler (Wien) MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{Y. Liu}, Chin. Sci. Bull. 36, No. 19, 1585--1589 (1991; Zbl 0782.05044)
Bender, Edward A.; Canfield, E. Rodney The number of rooted maps on an orientable surface. (English) Zbl 0751.05052 J. Comb. Theory, Ser. B 53, No. 2, 293-299 (1991). Reviewer: E.M.Palmer (East Lansing) MSC: 05C30 PDF BibTeX XML Cite \textit{E. A. Bender} and \textit{E. R. Canfield}, J. Comb. Theory, Ser. B 53, No. 2, 293--299 (1991; Zbl 0751.05052) Full Text: DOI
Gao, Zhi-Cheng The number of rooted 2-connected triangular maps on the projective plane. (English) Zbl 0753.05043 J. Comb. Theory, Ser. B 53, No. 1, 130-142 (1991). Reviewer: V.Burjan (Praha) MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{Z.-C. Gao}, J. Comb. Theory, Ser. B 53, No. 1, 130--142 (1991; Zbl 0753.05043) Full Text: DOI
Gao, Zhi-Cheng The number of rooted triangular maps on a surface. (English) Zbl 0751.05053 J. Comb. Theory, Ser. B 52, No. 2, 236-249 (1991). Reviewer: E.M.Palmer (East Lansing) MSC: 05C30 PDF BibTeX XML Cite \textit{Z.-C. Gao}, J. Comb. Theory, Ser. B 52, No. 2, 236--249 (1991; Zbl 0751.05053) Full Text: DOI
Yan, Jiyi; Liu, Yanpei Asymptotic enumerations for rooted planar maps and rooted outerplanar maps. (English) Zbl 0746.05007 Chin. Sci. Bull. 36, No. 3, 188-192 (1991). Reviewer: L.A.Székely (Budapest) MSC: 05A16 05C30 05C10 PDF BibTeX XML Cite \textit{J. Yan} and \textit{Y. Liu}, Chin. Sci. Bull. 36, No. 3, 188--192 (1991; Zbl 0746.05007)
Jackson, D. M.; Visentin, T. I. Character theory and rooted maps in an orientable surface of given genus: Face-colored maps. (English) Zbl 0738.05005 Trans. Am. Math. Soc. 322, No. 1, 365-376 (1990). MSC: 05A15 20C15 57N37 05E05 05C30 PDF BibTeX XML Cite \textit{D. M. Jackson} and \textit{T. I. Visentin}, Trans. Am. Math. Soc. 322, No. 1, 365--376 (1990; Zbl 0738.05005) Full Text: DOI
Jackson, D. M.; Visentin, T. I. A character theoretic approach to embeddings of rooted maps in an orientable surface of given genus. (English) Zbl 0747.05008 Trans. Am. Math. Soc. 322, No. 1, 343-363 (1990). Reviewer: N.I.Osetinski (Moskva) MSC: 05A15 20C15 57N37 PDF BibTeX XML Cite \textit{D. M. Jackson} and \textit{T. I. Visentin}, Trans. Am. Math. Soc. 322, No. 1, 343--363 (1990; Zbl 0747.05008) Full Text: DOI
Liu, Yanpei On the vertex partition equation of rooted loopless planar maps. (English) Zbl 0755.05044 Acta Math. Sci. 10, No. 2, 167-172 (1990). MSC: 05C30 05C70 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Sci. 10, No. 2, 167--172 (1990; Zbl 0755.05044)
Liu, Yanpei On face partition of rooted outerplanar maps. (English) Zbl 0719.05037 Chin. Sci. Bull. 34, No. 5, 365-369 (1989). Reviewer: Yanpei Liu MSC: 05C30 05C10 PDF BibTeX XML Cite \textit{Y. Liu}, Chin. Sci. Bull. 34, No. 5, 365--369 (1989; Zbl 0719.05037)
Liu, Yanpei An enumerating equation of rooted loopless planar maps with vertex partition. (Chinese. English summary) Zbl 0702.05044 Acta Math. Appl. Sin. 12, No. 2, 213-217 (1989). MSC: 05C30 05C10 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Appl. Sin. 12, No. 2, 213--217 (1989; Zbl 0702.05044)
Liu, Yanpei Enumeration of rooted nonseparable outerplanar maps. (English) Zbl 0694.05026 Acta Math. Appl. Sin., Engl. Ser. 5, No. 2, 169-175 (1989). Reviewer: L.A.Székely MSC: 05C30 05C10 05A15 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Appl. Sin., Engl. Ser. 5, No. 2, 169--175 (1989; Zbl 0694.05026) Full Text: DOI
Liu, Yanpei On an enumeration equation of simple planar maps with face partition. (English) Zbl 0688.05039 Acta Math. Appl. Sin. 12, No. 3, 292-295 (1989). MSC: 05C30 05A15 05C10 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Appl. Sin. 12, No. 3, 292--295 (1989; Zbl 0688.05039)
Rosenstiehl, P. Scaffold permutations. (English) Zbl 0668.05001 Discrete Math. 75, No. 1-3, 335-342 (1989). Reviewer: J.Cigler MSC: 05A05 05C05 PDF BibTeX XML Cite \textit{P. Rosenstiehl}, Discrete Math. 75, No. 1--3, 335--342 (1989; Zbl 0668.05001) Full Text: DOI
Liu, Yanpei Enumeration of rooted vertex non-separable planar maps. (English) Zbl 0724.05033 Chin. Ann. Math., Ser. B 9, No. 4, 390-403 (1988). MSC: 05C30 PDF BibTeX XML Cite \textit{Y. Liu}, Chin. Ann. Math., Ser. B 9, No. 4, 390--403 (1988; Zbl 0724.05033)
Liu, Yanpei Correction to “Chromatic sum equations for rooted cubic planar maps”. (English) Zbl 0713.05035 Acta Math. Appl. Sin., Engl. Ser. 4, No. 1, 95-96 (1988). MSC: 05C30 05C15 05C10 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Appl. Sin., Engl. Ser. 4, No. 1, 95--96 (1988; Zbl 0713.05035) Full Text: DOI
Bender, Edward A.; Wormald, Nicholas C. The asymptotic number of rooted nonseparable maps on a surface. (English) Zbl 0657.05037 J. Comb. Theory, Ser. A 49, No. 2, 370-380 (1988). Reviewer: E.M.Palmer MSC: 05C30 05C99 PDF BibTeX XML Cite \textit{E. A. Bender} and \textit{N. C. Wormald}, J. Comb. Theory, Ser. A 49, No. 2, 370--380 (1988; Zbl 0657.05037) Full Text: DOI
Bender, Edward A.; Canfield, E. Rodney; Robinson, Robert W. The asymptotic number of tree-rooted maps on a surface. (English) Zbl 0644.05027 J. Comb. Theory, Ser. A 48, No. 2, 156-164 (1988). Reviewer: R.C.Read MSC: 05C30 05A15 05C10 PDF BibTeX XML Cite \textit{E. A. Bender} et al., J. Comb. Theory, Ser. A 48, No. 2, 156--164 (1988; Zbl 0644.05027) Full Text: DOI
Bender, E. A.; Canfield, E. R.; Robinson, R. W. The enumeration of maps on the torus and the projective plane. (English) Zbl 0617.05036 Can. Math. Bull. 31, No. 3, 257-271 (1988). MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{E. A. Bender} et al., Can. Math. Bull. 31, No. 3, 257--271 (1988; Zbl 0617.05036) Full Text: DOI EuDML
Liu, Yanpei On chromatic sum equations for rooted cubic planar maps. (English) Zbl 0653.05030 Kexue Tongbao, Foreign Lang. Ed. 32, 1230-1235 (1987). Reviewer: U.Baumann MSC: 05C15 05C10 PDF BibTeX XML Cite \textit{Y. Liu}, Kexue Tongbao, Sci. Bull. 32, 1230--1235 (1987; Zbl 0653.05030)
Bender, Edward A. The number of three-dimensional convex polyhedra. (English) Zbl 0647.05031 Am. Math. Mon. 94, 7-21 (1987). Reviewer: G.Wegner MSC: 05C30 52Bxx PDF BibTeX XML Cite \textit{E. A. Bender}, Am. Math. Mon. 94, 7--21 (1987; Zbl 0647.05031) Full Text: DOI
Liskovets, V. A.; Walsh, T. R. Ten steps to counting planar graphs. (English) Zbl 0647.05030 Combinatorics, graph theory, and computing, Proc. 18th Southeast. Conf., Boca Raton/Fl. 1987, Congr. Numerantium 60, 269-277 (1987). Reviewer: J.Širáň MSC: 05C30 05C10 PDF BibTeX XML
Liu, Yanpei Chromatic sum equations for rooted cubic planar maps. (English) Zbl 0644.05026 Acta Math. Appl. Sin., Engl. Ser. 3, 136-167 (1987). Reviewer: R.C.Read MSC: 05C30 05C15 05C10 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Appl. Sin., Engl. Ser. 3, 136--167 (1987; Zbl 0644.05026) Full Text: DOI
Liu, Yanpei Enumeration of rooted outerplanar maps with vertex partition. (English) Zbl 0639.05027 Kexue Tongbao, Foreign Lang. Ed. 32, 295-299 (1987). Reviewer: R.C.Read MSC: 05C30 PDF BibTeX XML Cite \textit{Y. Liu}, Kexue Tongbao, Sci. Bull. 32, 295--299 (1987; Zbl 0639.05027)
Liu, Yanpei Enumeration of nonseparable outerplanar maps with vertex partition. (English) Zbl 0636.05032 Kexue Tongbao, Foreign Lang. Ed. 32, 1664-1668 (1987). Reviewer: R.C.Read MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{Y. Liu}, Kexue Tongbao, Sci. Bull. 32, 1664--1668 (1987; Zbl 0636.05032)
Arquès, Didier Relations fonctionnelles et dénombrement des cartes pointées sur le tore. (Functional relations and the enumeration of rooted genus one maps). (French) Zbl 0628.05040 J. Comb. Theory, Ser. B 43, 253-274 (1987). Reviewer: T.Walsh MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{D. Arquès}, J. Comb. Theory, Ser. B 43, 253--274 (1987; Zbl 0628.05040) Full Text: DOI
Arques, Didier Les hypercartes planaires sont des arbres très bien étiquetés. (Planar hypermaps are well-labeled trees). (French) Zbl 0602.05023 Discrete Math. 58, 11-24 (1986). Reviewer: T.Walsh MSC: 05C10 05C65 05C05 05C30 PDF BibTeX XML Cite \textit{D. Arques}, Discrete Math. 58, 11--24 (1986; Zbl 0602.05023) Full Text: DOI
Liu, Yanpei A functional equation for enumerating nonseparable planar maps with vertex partition. (English) Zbl 0582.05033 Kexue Tongbao, Foreign Lang. Ed. 31, 73-77 (1986). Reviewer: D.A.Holton MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{Y. Liu}, Kexue Tongbao, Sci. Bull. 31, 73--77 (1986; Zbl 0582.05033)
Liu, Yanpei Enumerating rooted loopless planar maps. (English) Zbl 0637.05015 Acta Math. Appl. Sin., Engl. Ser. 2, 14-26 (1985). MSC: 05C30 05C10 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Appl. Sin., Engl. Ser. 2, 14--26 (1985; Zbl 0637.05015) Full Text: DOI
Liu, Yanpei Enumerating rooted simple planar maps. (English) Zbl 0636.05031 Acta Math. Appl. Sin., Engl. Ser. 2, 101-111 (1985). MSC: 05C30 05C10 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Appl. Sin., Engl. Ser. 2, 101--111 (1985; Zbl 0636.05031) Full Text: DOI
Tutte, W. T. Meditations on the product rule. (English) Zbl 0581.05007 Aequationes Math. 28, 13-21 (1985). MSC: 05A15 05A10 40A05 PDF BibTeX XML Cite \textit{W. T. Tutte}, Aequationes Math. 28, 13--21 (1985; Zbl 0581.05007) Full Text: DOI EuDML
Liskovets, V. A. Enumeration of nonisomorphic planar maps. (English) Zbl 0578.05033 Sel. Math. Sov. 4, 303-323 (1985). MSC: 05C30 05C10 57M15 PDF BibTeX XML Cite \textit{V. A. Liskovets}, Sel. Math. Sov. 4, 303--323 (1985; Zbl 0578.05033)
Arques, Didier Une relation fonctionnelle nouvelle sur les cartes planaires pointées. (French) Zbl 0571.05001 J. Comb. Theory, Ser. B 39, 27-42 (1985). Reviewer: Ph.Vincke MSC: 05A15 05C10 PDF BibTeX XML Cite \textit{D. Arques}, J. Comb. Theory, Ser. B 39, 27--42 (1985; Zbl 0571.05001) Full Text: DOI
Liu, Yanpei Counting rooted planar maps. (English) Zbl 0575.05037 J. Math. Res. Expo. 4, No. 3, 37-46 (1984). Reviewer: R.C.Read MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{Y. Liu}, J. Math. Res. Expo. 4, No. 3, 37--46 (1984; Zbl 0575.05037)
Liu, Yanpei Chromatic sum equations for rooted planar maps. (English) Zbl 0559.05028 Combinatorics, graph theory and computing, Proc. 15th Southeast. Conf., La. State Univ. 1984, Congr. Numerantium 45, 275-280 (1984). Reviewer: J.G.Oxley MSC: 05C15 PDF BibTeX XML
Yanpei, Liu Enumeration of rooted separable planar maps. (English) Zbl 0552.05033 Util. Math. 25, 77-94 (1984). Reviewer: T.Walsh MSC: 05C30 39B99 PDF BibTeX XML Cite \textit{L. Yanpei}, Util. Math. 25, 77--94 (1984; Zbl 0552.05033)
Tutte, W. T. Planar enumeration. (English) Zbl 0547.05034 Graph theory and combinatorics, Proc. Conf. Hon. P. Erdös, Cambridge 1983, 315-319 (1984). Reviewer: A.T.White MSC: 05C30 05C10 PDF BibTeX XML
Liu, Yanpei On the number of rooted c-nets. (English) Zbl 0538.05042 J. Comb. Theory, Ser. B 36, 118-123 (1984). Reviewer: T.R.S.Walsh MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{Y. Liu}, J. Comb. Theory, Ser. B 36, 118--123 (1984; Zbl 0538.05042) Full Text: DOI