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Professor Mike Grannell

Profile summary

  • Other Visitor Type
  • Emeritus Professor
  • Faculty of Science, Technology, Engineering & Mathematics
  • School of Mathematics & Statistics
  • mike.grannell

Professional biography

I am an Emeritus Professor in the School of Mathematics and Statistics within the Faculty of Science, Technology, Engineering and Mathematics at the Open University.

The postal address is: School of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, U.K.

You can email me at: mike.grannell@open.ac.uk

My research area is combinatorics, in particular block designs and Steiner systems.

Fuller details can be found at my home page mcs.open.ac.uk/mjg47/

 

Publications

On the number of additive permutations and Skolem-type sequences (2018)
Donovan, Diane and Grannell, Mike
Ars Mathematica Contemporanea, 14 (pp. 415-432)
On the number of transversals in a class of Latin squares (2017)
Donovan, Diane M. and Grannell, Mike J.
Discrete Applied Mathematics ((Early view))
Pasch trades on the projective triple system of order 31 (2016-02)
Grannell, Mike and Knor, Martin
Journal of Combinatorial Mathematics and Combinatorial Computing, 96 (pp. 23-32)
Identical twin Steiner triple systems (2016)
Grannell, M. J. and Lovegrove, G. J.
The Australasian Journal of Combinatorics, 66 (pp. 130-141)
Biembeddings of 2-rotational Steiner triple systems (2015-05-14)
Grannell, Mike and Schroeder, Justin
Electronic Journal of Combinatorics, 22, Article P2.23(2)
Rigid Steiner triple systems obtained from projective triple systems (2014-07)
Grannell, M. J. and Knor, M.
Journal of Combinatorial Designs, 22(7) (pp. 279-290)
Doubly even orientable closed 2-cell embeddings of the complete graph. (2014)
Grannell, Mike and McCourt, Thomas
Electronic Journal of Combinatorics, 21, Article P1.22(1)
Coloring cubic graphs by point-intransitive Steiner triple systems (2013-10)
Grannell, Mike J.; Griggs, Terry S.; Máčajová, Edita and Škoviera, Martin
Journal of Graph Theory, 74(2) (pp. 163-181)
Maximizing the number of Pasch configurations in a Steiner triple system (2013-09)
Grannell, Mike and Lovegrove, Graham
Bulletin of the Institute of Combinatorics and its Applications, 69 (pp. 23-35)
On the number of transversal designs (2013-09)
Donovan, D. M. and Grannell, M. J.
Journal of Combinatorial Theory, Series A, 120(7) (pp. 1562-1574)
Configurations in bowtie systems (2013-06)
Grannell, M. J.; Griggs, T. S.; Lo Faro, G. and Tripodi, A.
Aequationes Mathematicae, 85(3) (pp. 347-358)
Dihedral biembeddings and triangulations by complete and complete tripartite graphs (2013-04)
Grannell, M. J. and Knor, M.
Graphs and Combinatorics, 29(4) (pp. 921-932)
Even-cycle systems with prescribed automorphism groups (2013)
Grannell, M. J.; Griggs, T. S. and Lovegrove, G. J.
Journal of Combinatorial Designs, 21(4) (pp. 142-156)
On the number of triangular embeddings of complete graphs and complete tripartite graphs (2012-04)
Grannell, M. J. and Knor, M.
Journal of Graph Theory, 69(4) (pp. 370-382)
Biembedding Abelian groups with mates having transversals (2012)
Grannell, M. J. and Knor, M.
Journal of Combinatorial Designs, 20(2) (pp. 81-88)
Biembeddings of metacyclic groups and triangulations of orientable surfaces by complete graphs (2012)
Grannell, Mike and Knor, Martin
Electronic Journal of Combinatorics, 19(3) (P29)
On the number of designs with affine parameters (2012)
Donovan, D. M. and Grannell, M. J.
Designs, Codes and Cryptography, 63(1) (pp. 15-27)
A construction for biembeddings of Latin squares (2011-09-26)
Grannell, Mike and Knor, Martin
Electronic Journal of Combinatorics, 18(1)
Self-embeddings of cyclic and projective Steiner quasigroups (2011-01)
Donovan, Diane M.; Grannell, Mike J.; Griggs, Terry S.; Lefevre, James G. and McCourt, Thomas
Journal of Combinatorial Designs, 19(1) (pp. 16-27)
Pasch trades with a negative block (2011)
Drizen, A.L.; Grannell, Mike and Griggs, Terry
Discrete Mathematics, 311(21) (pp. 2411-2416)
Biembeddings of Latin squares obtained from a voltage construction (2011)
Grannell, Mike and Knor, Martin
Australasian Journal of Combinatorics, 51 (pp. 259-270)
Designs having the parameters of projective and affine spaces (2011)
Donovan, D. M. and Grannell, M. J.
Designs, Codes and Cryptography, 60(3) (pp. 225-240)
Quarter-regular biembeddings of Latin squares (2010)
Donovan, D. M.; Drápal, A.; Grannell, M. J.; Griggs, T. S. and Lefevre, J. G.
Discrete Mathematics, 310(4) (pp. 692-699)
Biembeddings of Abelian groups (2010)
Grannell, M. J. and Knor, M.
Journal of Combinatorial Designs, 18(1) (pp. 71-83)
Some rigid Steiner 5-designs (2010)
Grannell, M. J.
Journal of Combinatorial Designs, 18(5) (pp. 392-400)
Third-regular bi-embeddings of Latin squares (2010)
Donovan, D. M.; Grannell, M. J. and Griggs, T. S.
Glasgow Mathematical Journal, 52(3) (pp. 497-503)
Properties of the Steiner Triple Systems of Order 19 (2010)
Colbourn, Charles J.; Forbes, Anthony D.; Grannell, Mike J.; Griggs, Terry S.; Kaski, Petteri; Östergard, Patric R. J.; Pike, David A. and Pottonen, Olli
Electronic Journal of Combinatorics, 17(1) (article no. R98)
An enumeration of minimum genus orientable embeddings of some complete bipartite graphs (2010)
Grannell, M. J. and Knor, M.
Journal of Combinatorial Mathematics and Combinatorial Computing, 73, (pp. 95-102)
On sparse countably infinite Steiner triple systems (2010)
Chicot, K. M.; Grannell, M. J.; Griggs, T. S. and Webb, B. S.
Journal of Combinatorial Designs, 18(2) (pp. 115-122)
A lower bound for the number of orientable triangular embeddings of some complete graphs (2010)
Grannell, M. J. and Knor, M.
Journal of Combinatorial Theory, Series B, 100(2) (pp. 216-225)
On parity vectors of Latin squares (2010)
Donovan, D. M.; Grannell, M. J.; Griggs, T. S. and Lefevre, J. G.
Graphs and Combinatorics, 26(5) (pp. 673-684)
Orientable biembeddings of cyclic Steiner triple systems from current assignments on Möbius ladder graphs (2009-05-06)
Grannell, M.J. and Korzhik, V.P.
Discrete Mathematics, 309(9) (pp. 2847-2860)
A constraint on the biembedding of Latin squares (2009-02)
Lefevre, J. G.; Donovan, D. M.; Grannell, M. J. and Griggs, T. S.
European Journal of Combinatorics, 30(2) (pp. 380-386)
On biembeddings of Latin squares (2009)
Grannell, M. J.; Griggs, T. S. and Knor, M.
Electronic Journal of Combinatorics, 16(1) (R106)
Bounds on g(1)((5)) (v) for v equivalent to 9, 13, 17 (mod 20) (2009)
Grannell, M. J.; Griggs, T. S. and Stanton, R. G.
Utilitas Mathematica, 78 (pp. 79-92)
Small bowtie systems: an enumeration (2009)
Grannell, M. J.; Griggs, T. S.; LoFaro, G. and Tripodi, A.
Journal of Combinatorial Mathematics and Combinatorial Computing, 70 (pp. 149-159)
Wilson-Schreiber colourings of cubic graphs (2009)
Grannell, Mike J.; Griggs, Terry S.; Máčajová, Edita and Škoviera, Martin
Electronic Notes in Discrete Mathematics, 34 (pp. 225-229)
Smallest defining sets of directed triple systems (2009)
Grannell, M. J.; Griggs, T. S. and Quinn, K. A. S.
Discrete Mathematics, 309(14) (pp. 4810-4818)
Orientable biembeddings of Steiner triple systems of order 15 (2009)
Grannell, M. J.; Griggs, T. S. and Knor, M.
Journal of Combinatorial Mathematics and Combinatorial Computing, 68 (pp. 129-136)
Further 6-sparse Steiner Triple Systems (2009)
Forbes, A. D.; Grannell, M. J. and Griggs, T. S.
Graphs and Combinatorics, 25(1) (pp. 49-64)
A census of the orientable biembeddings of Steiner triple systems of order 15 (2008)
Grannell, M. J.; Griggs, T. S.; Knor, M. and Thrower, A. R. W.
Australasian Journal of Combinatorics, 42, (pp. 253-259)
Biembeddings of symmetric configurations and 3-homogeneous Latin trades (2008)
Grannell, M. J.; Griggs, T. S. and Knor, M.
Commentationes Mathematicae Universitatis Carolinae, 49(3) (pp. 411-420)
A lower bound for the number of triangular embeddings of some complete graphs and complete regular tripartite graphs (2008)
Grannell, M. J. and Griggs, T. S.
Journal of Combinatorial Theory, Series B, 98 (pp. 637-650)
New type B colorable S(2, 4, v) designs (2007-07-27)
Forbes, A. D.; Grannell, M. J. and Griggs, T. S.
Journal of Combinatorial Designs, 15(4) (pp. 357-368)
On 6-sparse Steiner triple systems (2007-02)
Forbes, A.D.; Grannell, M.J. and Griggs, T.S.
Journal of Combinatorial Theory, Series A, 114(2) (pp. 235-252)
On the small covering numbers $g^{(5)}_1(v)$ (2007)
Forbes, Anthony; Grannell, Mike; Griggs, Terry and Stanton, R. G.
Utilitas Mathematica, 74, (pp. 77-96)
The design of the century (2007)
Forbes, Anthony; Grannell, Mike and Griggs, Terry
Mathematica Slovaca, 57(5) (pp. 495-499)
Biembeddings of Latin squares of side 8 (2007)
Grannell, Mike; Griggs, Terry and Knor, M.
Quasigroups and Related Systems, 15(2) (pp. 273-278)
Distance and fractional isomorphism in Steiner triple systems (2007)
Forbes, Anthony; Grannell, Mike and Griggs, Terry
Rendiconti del Circolo Matematico di Palermo Serie II, 56, (pp. 17-32)
Hamiltonian embeddings from triangulations (2007)
Grannell, Mike J.; Griggs, Terry S. and Siran, Jozef
Bulletin of the London Mathematical Society, 39(3) (pp. 447-452)
Small surface trades in triangular embeddings (2006-12)
Bennett, G. K.; Grannell, M. J.; Griggs, T. S. and Siran, J.
Discrete Mathematics, 306(21) (pp. 2637-2646)
A flaw in the use of minimal defining sets for secret sharing schemes (2006-08)
Grannell, Mike J.; Griggs, Terry S. and Street, Anne Penfold
Designs, Codes and Cryptography, 40(2) (pp. 225-236)
Triangulations of orientable surfaces by complete tripartite graphs (2006-04)
Grannell, M. J.; Griggs, T. S.; Knor, M. and Siran, J.
Discrete Mathematics, 306(6) (pp. 600-606)
Orientable self-embeddings of Steiner triple systems of order 15 (2006)
Bennett, G.K.; Grannell, M.J. and Griggs, T.S.
Acta Mathematica Universitatis Comenianae, 75(2) (pp. 163-172)
Diagonally switchable 4-cycle systems (2006)
Adams, P.; Bryant, D.; Grannell, Mike and Griggs, Terry
Australasian Journal of Combinatorics, 34, (pp. 145-152)
Maximum genus embeddings of Steiner triple systems (2005-04)
Grannell, Mike J.; Griggs, Terry S. and Siran, Jozef
European Journal of Combinatorics, 26(3-4) (pp. 401-416)
Steiner triple systems and existentially closed graphs (2005)
Forbes, A. D.; Grannell, M. J. and Griggs, T. S.
Electronic Journal of Combinatorics, 12(1)
Large sets of cycle systems on nine points (2005)
Bryant, D. E.; Grannell, Mike and Griggs, Terry
Journal of Combinatorial Mathematics and Combinatorial Computing, 53, (pp. 95-102)
On independent sets (2005)
Forbes, Anthony; Grannell, Mike and Griggs, Terry
Mathematica Slovaca, 55(4) (pp. 375-377)
On the covering number $g_1^{(4)}(18)$ (2005)
Grannell, Mike; Griggs, Terry; Stanton, R. G. and Whitehead, C. A.
Utilitas Mathematica, 68, (pp. 131-143)
Biembeddings of Latin squares and Hamiltonian decompositions (2004-10-11)
Grannell, M.J.; Griggs, T.S and Knor, M.
Glasgow Mathematical Journal, 46(3) (pp. 443-457)
Exponential lower bounds for the numbers of Skolem-type sequences (2004-10)
Bennett, G. K.; Grannell, Mike and Griggs, Terry
Ars Combinatoria, 73 (pp. 101-106)
Nonorientable biembeddings of Steiner triple systems (2004-08-06)
Grannell, M.J. and Korzhik, V.P.
Discrete Mathematics, 285(1-3) (pp. 121-126)
Independent sets in Steiner triple systems (2004-07)
Forbes, A.D.; Grannell, M.J. and Griggs, T.S.
Ars Combinatoria, 72 (pp. 161-169)
Configurations in 4-cycle systems (2004-06)
Bryant, Darryn; Grannell, Mike; Griggs, Terry and Macaj, Martin
Graphs and Combinatorics, 20(2) (pp. 161-179)
A Steiner triple system which colours all cubic graphs (2004-05)
Grannell, Mike; Griggs, Terry; Knor, Martin and Skoviera, Martin
Journal of Graph Theory, 46(1) (pp. 15-24)
Configurations and trades in Steiner triple systems (2004-03)
Forbes, A.D.; Grannell, M.J. and Griggs, T.S.
Australasian Journal of Combinatorics, 29 (pp. 75-84)
Minimal perfect bicoverings of Kv with block sizes two, three and four (2004)
Grannell, Mike; Griggs, Terry and Santon, R. G.
Ars Combinatoria, 71 (pp. 125-138)
Non-orientable biembeddings of Steiner triple systems of order 15 (2004)
Bennett, G. K.; Grannell, M. J. and Griggs, T. S.
Acta Mathematica Universitatis Comenianae, 73(1) (pp. 101-106)
On $\lambda$-fold coverings with maximum block size four for $\lambda = 3, 4$ and 5 (2004)
Grannell, Mike; Griggs, Terry and Stanton, R. G.
Journal of Combinatorial Mathematics and Combinatorial Computing, 51, (pp. 137-158)
On $\lambda$-fold coverings with maximum block size four for $\lambda\ge 6$ (2004)
Grannell, M. J.; Griggs, T. S. and Stanton, RG
Utilitas Mathematica, 66, (pp. 221-230)
On the minimal nonzero distance between triangular embeddings of a complete graph (2003-07-28)
Grannell, M.J.; Griggs, T.S.; Korzhik, V.P. and Siran, Jozef
Discrete Mathematics, 269(1-3) (pp. 149-160)
On colourings of Steiner triple systems (2003-01)
Forbes, A.D.; Grannell, M.J. and Griggs, T.S.
Discrete Mathematics, 261(1-3) (pp. 255-276)
More on exact bicoverings of 12 points (2003)
Grannell, M. J.; Griggs, T. S.; Maenhaut, B. M.; Quinn, K. A. S. and Stanton, R. G.
Ars Combinatoria, 69 (pp. 197-213)
Large sets of large sets of Steiner triple systems of order 9 (2003)
Bryant, D.; Grannell, M. J. and Griggs, T. S.
Utilitas Mathematica, 64, (pp. 115-118)
Face two-colourable triangulations of $K_{13}$ (2003)
Grannell, Mike; Griggs, Terry and Knor, M.
Journal of Combinatorial Mathematics and Combinatorial Computing, 47, (pp. 75-81)
Regular Hamiltonian embeddings of the complete bipartite graph $K_{n,n}$ in an orientable surface (2003)
Grannell, M. J.; Griggs, T. S. and Knor, M.
Congressus Numerantium, 163, (pp. 197-205)
On the volume of 4-cycle trades (2003)
Bryant, Darryn; Grannell, Mike; Griggs, Terry and Maenhaut, Barbara
Graphs and Combinatorics, 19(1) (pp. 53-63)
On the bi-embeddability of certain Steiner triple systems of order 15 (2002-07)
Bennett, G.K.; Grannell, M.J. and Griggs, T.S.
European Journal of Combinatorics, 23(5) (pp. 499-505)
On large sets of v-1 L-intersecting Steiner triple systems of order v (2002-06)
Franek, F.; Grannell, M.J.; Griggs, T.S. and Rosa, A.
Designs, Codes and Cryptography, 26(1-3) (pp. 243-256)
Cyclic bi-embeddings of Steiner triple systems on 12s+7 points (2002-02-07)
Bennett, G.K.; Grannell, M.J. and Griggs, T.S.
Journal of Combinatorial Designs, 10(2) (pp. 92-110)
Recursive constructions for triangulations (2002-02)
Grannell, M. J.; Griggs, T. S. and Siran, J.
Journal of Graph Theory, 39(2) (pp. 87-107)
Modular gracious labellings of trees (2001-03)
Grannell, M.J.; Griggs, T.S. and Holroyd, F.C.
Discrete Mathematics, 231(1-3) (pp. 199-219)
The Triangle chromatic index of Steiner triple systems (2001)
Grannell, M.J.; Griggs, T.S and Hill, R.
Australasian Journal of Combinatorics, 23 (pp. 217-230)
Cyclic bi-embeddings of Steiner triple systems on 31 points (2001)
Bennett, G. K.; Grannell, M. J. and Griggs, T. S.
Glasgow Mathematical Journal, 43(1) (pp. 145-151)
Bi-embeddings of Steiner triple systems of order 15 (2001)
Bennett, G. K.; Grannell, M. J. and Griggs, T. S.
Graphs and Combinatorics, 17(2) (pp. 193-197)
On exact bicoverings of 12 points (2000-04)
Allston, J. L.; Grannell, M. J.; Griggs, T. S.; Quinn, K. A. S. and Stanton, R. G.
Ars Combinatoria, 55 (pp. 147-159)
Triple systems with tripoints (2000)
Grannell, M. J.; Griggs, T. S.; Quinn, K. A. S. and Stanton, R. G.
Utilitas Mathematica, 57, (pp. 97-108)
Construction techniques for anti-Pasch Steiner triple systems (2000)
Ling, A. C. H.; Colbourn, C. J.; Grannell, M. J. and Griggs, T. S.
Journal of the London Mathematical Society, 61(3) (p 641)
The resolution of the anti-Pasch conjecture (2000)
Grannell, M. J.; Griggs, T. S. and Whitehead, C. A.
Journal of Combinatorial Designs, 8(4) (pp. 300-309)
Proper edge-colourings of complete graphs (2000)
Grannell, M. J.; Griggs, T. S.; Kocay, W. L.; Quinn, K. A. S. and Stanton, R. G.
Journal of Combinatorial Mathematics and Combinatorial Computing, 33, (pp. 103-116)
Cuboctahedron designs (2000)
Grannell, Mike; Griggs, Terry and Holroyd, Fred
Journal of Combinatorial Mathematics and Combinatorial Computing, 35, (pp. 185-191)
Three-line chromatic indices of Steiner triple systems (2000)
Grannell, M. J.; Griggs, T. S. and Rosa, A.
Australasian Journal of Combinatorics, 21, (pp. 67-84)
Exponential families of non-isomorphic triangulations of complete graphs (2000)
Bonnington, C. P.; Grannell, M. J.; Griggs, T. S. and Siran, J.
Journal of Combinatorial Theory, Series B, 78(2) (pp. 169-184)
Bi-embeddings of the projective space PG(3,2) (2000)
Bennett, G. K.; Grannell, M. J. and Griggs, T. S.
Journal of Statistical Planning and Inference, 86(2) (pp. 321-329)
On directed designs with block size five (2000)
Bowler, Andrew; Grannell, Mike; Griggs, Terry S. and Quinn, Kathleen A. S.
Journal of Geometry, 67(1-2) (pp. 50-60)
Non-isomorphic solutions for some triple systems with bipoints (2000)
Grannell, M. J.; Griggs, T. S.; Quinn, K. A. S. and Stanton, R. G.
Utilitas Mathematica, 57, (pp. 97-108)
All admissible $3$-$(v, 4, \lambda)$ directed designs exist (2000)
Grannell, M. J.; Griggs, T S. and Quinn, K. A. S.
Journal of Combinatorial Mathematics and Combinatorial Computing, 35, (pp. 65-70)
Pairwise balanced designs on $4s+1$ points with longest block of cardinality $2s$ (2000)
Allston, J. L.; Grannell, M. J.; Griggs, T. S. and Stanton, R. G.
Utilitas Mathematica, 58, (pp. 97-107)
Embeddings and designs (2009)
Grannell, Mike and Griggs, Terry
In: Wilson, Robin and Beineke, LW eds. Topics in Topological Graph Theory (pp. 268-288)
ISBN : 9780521802307 | Publisher : Cambridge University Press | Published : Cambridge
Designs and topology (2007)
Grannell, Mike and Griggs, Terry
In: Hilton, A. and Talbot, J. eds. Surveys in Combinatorics 2007. London Mathematical Society Lecture Note Series 346 (346) (pp. 121-174)
ISBN : 9780521698238 | Publisher : Cambridge University Press | Published : Cambridge, UK
Biembeddings of symmetric configurations of triples (2004)
Grannell, M. J.; Griggs, T. S. and Knor, M.
In : Proceedings of the MaGiA Conference (15-17 October 2004, Kocovce)

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