PUBLICATIONS AND PROFESSIONAL ACTIVITIES


R. Jajcay and R. Nedela, Half-regular Cayley maps,
submitted for publication.

G. Exoo and R. Jajcay, Biregular cages of odd girth,
submitted for publication.

M. Boben, R. Jajcay and T. Pisanski, Explicit constructions of graphs with prescribed and prohibited degrees and cycle lengths,
submitted for publication.

G. Exoo, R. Jajcay and J. Siran, Cayley cages,
J. Algebr. Comb. Volume 38, Issue 1 (2013) 209-224.

G. Exoo and R. Jajcay, Recursive constructions of small regular graphs of given degree and girth,
Discrete Mathematics 312 (2012) 2612-2619.

R. Jajcay and J. Siran, Small vertex-transitive graphs of given degree and girth,
Ars Mathematica Contemporanea 4 (2011) 375-384.

R.-Q. Feng, R. Jajcay and Y. Wang, Regular t-balanced Cayley maps for abelian groups,
Discrete Math. 311 (2011) 2309-2316.

G. Exoo and R. Jajcay, On the girth of voltage graph lifts,
Europ. J. of Combinatorics 32 (2011) 554-562.

M. Conder, G. Exoo and R. Jajcay, On the limitations of the use of solvable groups in Cayley graph cage constructions,
Europ. J. of Combinatorics 31 (2010), 1819-1828.

T.B. Jajcayova, R. Jajcay, and E.S. Kramer, The life and mathematics of Dale Marsh Mesner, 1923 - 2009,
Bulletin of the ICA 59 (2010) 9-30.

G. Exoo and R. Jajcay, Properties of Groups for the Cage and Degree/Diameter Problems,
Electronic Notes in Discrete Mathematics 34 (2009) 341-345.

G. Exoo and R. Jajcay, Dynamic cage survey,
Electron. J. Combin., Dynamic Survey 16, September 2008.

M. Conder, R. Jajcay, and T. Tucker, Regular Cayley maps for finite abelian groups,
J. Algebr. Comb. 25, No. 3, 259-283 (2007).

M. Conder, R. Jajcay, and T. Tucker, Regular t-balanced Cayley maps,
J. Comb. Theory, Ser. B 97, No. 3, 453-473 (2007).

R. Jajcay, A. Malnic, and D. Marusic, Counting closed oriented walks in vertex-transitive graphs,
Discrete Math. 307, No. 3-5, 484-493 (2007).

R. B. Richter, R. Jajcay, J. Siran, T.W. Tucker, and M.E. Watkins, Cayley maps,
J. Combin. Theory Ser. B, 95 (2005), no. 2, 189 - 245.

D. Archdeacon, D. Froncek, R. Jajcay, Z. Ryjacek and J. Siran, Regular clique covers of graphs ,
Australas. J. of Combin. 27 (2003), 307--316.

T.B. Jajcayova and R. Jajcay, On the contributions of D.M. Mesner ,
Bull. Inst. Combin. Appl 36 (2002), pp. 46--52.

R. Jajcay and J. Siran, Skew-morphisms of regular Cayley maps ,
Discrete Math. 244 (2002), no 1-3, 167-179.

R. Jajcay, Representing finite groups as regular automorphism groups of combinatorial
structures, Ars Combinatoria 62 (2002), pp. 51-64.

R. Jajcay, The structure of automorphism groups of Cayley graphs and maps,
Journal of Algebraic Combinatorics 12 (2000), 73-84

T.B. Jajcayova and R. Jajcay, Notes on subtractive properties of natural numbers,
Bulletin of the ICA, 25 (1999), 29-40.

R. Jajcay and C. H. Li, Constructions of self-complementary circulants
with no multiplicative isomorphisms, Eur. J. Comb. 22, no. 8, 1093-1100.

R. Jajcay and D. Mesner, Embedding arbitrary finite simple graphs into small
strongly regular graphs, J. Graph Theory 34 (2000), no.1., 1--8

L. G. Chouinard II., R. Jajcay and S. S. Magliveras, Finite groups, in Handbook of
Combinatorial Design (C. Colbourn and J. Dinitz, ed.), CRC Press (1996), 587-614.

R. Jajcay and J. Siran, More constructions of vertex-transitive non-Cayley graphs
based on counting closed walks, Australasian J. of Comb. 14 (1996), 121-132.

R. Jajcay, Characterization and construction of Cayley graphs admitting regular
Cayley maps, Discrete Mathematics 158 (1996), 151-160.

R. Jajcay, On a construction of infinite families of regular Cayley maps,
Combinatorica 18 (2) (1998) 191-199

R. Jajcay and J. Siran, A construction of vertex-transitive non-Cayley graphs,
Australasian J. of Combin. 10 (1994), 105-114.

R. Jajcay, On a new product of groups, Europ. J. of Combinatorics 15 (1994),
251-252.

O. Grosek and R. Jajcay, Difference sets on an infinite cyclic semigroup,
JCMCC, 13, (1993), 167-174.

R. Jajcay, Automorphism groups of Cayley maps, Journal of Comb. Theory
Series B 59 (1993), 297-310.

R. Jajcay, Enumeration of border matrices, Matematicke obzory, zv. 31,
(1989), 41-49.

R. Jajcay, Estimates of the number of vector fields on Grassmannians,
RNDr-thesis at the Comenius University, (1988).


Principal organizer of the 12-th Midwestern Conference on Combinatorics, Cryptography and
Computing
Terre Haute, IN, Oct. 30 - Nov. 1, 1997


Principal organizer of the Fall meeting of the Indiana Section of the Mathematical Association
of America
Terre Haute, IN, April 2-3, 2004.


Reviewer for Zentralblatt fur Mathematik and Mathematical Reviews


Refereed textbooks on Numerical Methods in C, Number Theory, Mathematical Reasoning,
Differential Equations, Algebra and Trigonometry, and Discrete Mathematics


Refereed for Graphs and Combinatorics, JCMCC, J. of Combinatorics, Electronic J. of Comb.,
J. of Comb. Design, Australasian J. of Comb., Ars Combinatoria, J. of Graph Th.,
J. of Comb. Th. B, Information and System Sciences, Discrete Math., European J. of Comb.,
Tatra Mountains Math. J., Mathematica Slovaka, , Acta Mathematica Sinica,
Ars Mathematica Contemporanea and Information Sciences


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