List of publications
Gábor
Simonyi
J. Körner, G. Simonyi, Separating partition
systems and very different
sequences, SIAM J. on Discrete
Mathematics, Vol. 1,
No. 3 (August 1988), 355-359.
G. Simonyi,
On write-unidirectional memory codes, IEEE
Trans. Inform. Theory,
Vol. IT-35, No. 3 (May 1989), 663-669.
G. Cohen, G. Simonyi,
Coding for write-unidirectional
memories and conflict resolution,
Discrete Applied Math., 24 (1989),
103-114.
I. Csiszár, J. Körner, L. Lovász, K. Marton, G. Simonyi,
Entropy splitting for antiblocking corners and perfect graphs,
Combinatorica, 10 (1) (1990), 27-40.
G. Cohen, J. Körner, G. Simonyi,
Zero-error capacities and very
different sequences, in: Sequences. Combinatorics, Security and
Transmission, papers presented at the Advanced International Workshop
on Sequences, Positano, Italy, June 1988, Springer, New York, 1990,
R. M. Capocelli (ed.), 144-155.
R. Ahlswede, G. Simonyi,
Reusable memories in the light of the old
arbitrarily varying and a new outputwise varying channel theory, IEEE
Trans. Inform. Theory, Vol. 37,
No. 4 (July 1991), 1143-1150.
J. Körner, G. Simonyi,
A Sperner-type theorem and qualitative
independence, J. Combin. Theory Ser. A, Vol. 59, No. 1,
(Jan. 1992), 90-103.
J. Körner, G. Simonyi, Zs. Tuza,
Perfect couples of graphs, Combinatorica, 12 (2) (1992), 179-192.
R. Ahlswede, G. Simonyi,
Note on the optimal structure of recovering set
pairs in lattices: the sandglass conjecture, Discrete Math., 128
(1994) 389-394.
J. Körner, G. Simonyi, Trifference, Studia
Sci. Math. Hungar. 30 (1995), 95-103, and also in: ''Combinatorics and its
Applications to the
Regularity and Irregularity of Structures'', W. A. Deuber and V. T. Sós
eds., Akadémiai Kiadó, Budapest.
A. Galluccio, M. Simonovits, G. Simonyi, On the structure of
co-critical
graphs, in: Graph Theory, Combinatorics, and Applications, (Proc. Seventh
International Conference on Graph Theory, Combinatorics, Algorithms and
Applications), Y Alavi and A. Schwenk eds., John Wiley and Sons,
1053-1071.
A. Galluccio, L. Gargano, J. Körner, G. Simonyi,
Different capacities of a
digraph, Graphs and
Combinatorics, 10 (1994), 105-121.
G. Simonyi, Graph
entropy: a survey, in: Combinatorial
Optimization, (W. Cook, L. Lovász, and P. Seymour eds.), DIMACS
Series in Discrete Mathematics and Theoretical Computer Science Volume 20,
AMS, 1995, 399-441.
G. Simonyi, Entropy
splitting hypergraphs, J. Combin. Theory Ser. B 66 (1996),
310-323.
A. Sali, G. Simonyi,
Recovering set systems and graph entropy, Combin. Probab. Comput. 6 (1997), 481-491.
A. Sali, G. Simonyi,
Intersecting set systems and graphic matroids, Discrete Math. 185
(1998), 279-285.
A. V. Kostochka, T. Łuczak, G. Simonyi, E. Sopena,
On the minimum number of edges giving maximum oriented chromatic number,
in: Contemporary Trends in Discrete Mathematics (R. L. Graham,
J. Kratochvil, J. Nešetřil, F. Roberts eds.), DIMACS Series in
Discrete Mathematics and Theoretical Computer Science, Volume 49, AMS, 1999,
179-182.
A. Sali, G. Simonyi,
Oriented list colouring of undirected graphs, in: Contemporary
Trends in Discrete Mathematics (R. L. Graham, J. Kratochvil,
J. Nešetřil, F. Roberts eds.), DIMACS Series in Discrete
Mathematics
and Theoretical Computer Science, Volume 49, AMS, 1999,
307-316.
A. Sali, G. Simonyi,
Orientations of self-complementary graphs and the relation of Sperner and
Shannon capacities, European J. Combin., 20 (1999), 93-99.
J. Körner, G. Simonyi, Graph pairs and their
entropies: modularity problems, Combinatorica, 20 (2000),
227-240.
G. Simonyi,
Perfect Graphs and Graph Entropy. An Updated Survey, Chapter
13 in:
Perfect Graphs (Jorge Ramirez-Alfonsin, Bruce Reed eds.), John Wiley
and Sons, 2001, 293-328.
G. Simonyi,
On Witsenhausen's zero-error rate for multiple sources,
IEEE Trans. Inform. Theory,
Vol. 49, No. 12 (December 2003), 3258-3261.
A. Gyárfás, G. Simonyi, Edge colorings of complete
graphs without tricolored triangles,
J. Graph Theory, 46 (2004), 211--216.
G. Simonyi, Asymptotic
values of the Hall-ratio for graph powers, Discrete
Math., 306 (2006), 2593--2601.
J. Körner, C. Pilotto, G. Simonyi,
Local chromatic number and Sperner capacity,
J. Combin. Theory Ser. B, 95 (2005), 101--117.
Z. Füredi, A. Gyárfás, G. Simonyi,
Connected matchings and Hadwiger's conjecture,
Combin. Probab. Comput., Problem Section, 14 (2005), 435--438.
G. Simonyi, G. Tardos,
Local chromatic number, Ky Fan's theorem, and circular
colorings,
Combinatorica, 26 (2006), 587--626; also available at arxiv:math.CO/0407075 .
G. Simonyi, G. Tardos,
Colorful subgraphs in Kneser-like graphs, European
J. Combin., 28 (2007), 2188-2200; also available at arxiv:math.CO/0512019 .
J. Körner, C. Malvenuto, G. Simonyi,
Graph-different permutations,
SIAM J. Discrete Math., 22 (2008), 489-499; also available at arxiv:0709.4387v1 .
G. Simonyi,
Necklace bisection with one cut less than needed,
Electron. J. Combin., 15 (2008), no. 1, Note 16.
G. Simonyi, G. Tardos, S. Vrecica,
Local chromatic number and distinguishing the strength
of topological obstructions,
Trans. Amer. Math. Soc., 361 (2009), no. 2, 889--908;
also available at arxiv:math.CO/0502452
.
J. Körner, G. Simonyi, B. Sinaimeri,
On types of growth for graph-different permutations,
J. Combin. Theory Ser. A, 116 (2009), 713--723;
also
available at arXiv:0712.1442v1.
G. Brightwell, G. Cohen, E. Fachini, M. Fairthorne, J. Körner,
G. Simonyi, Á. Tóth,
Permutation capacities of families of oriented infinite paths,
SIAM J. Discrete Math., 24 (2010), 441--456.
G. Simonyi, A. Zsbán,
On topological relaxations of chromatic conjectures,
European J. Combin., 31 (2010), 2110--2119; also available at arxiv:0709.4387v1 .
G. Simonyi, G. Tardos,
On directed local chromatic number, shift graphs, and Borsuk-like
graphs,
J. Graph Theory , 66 (2011), 65-82; also available at arXiv:0906.2897v1 [math.CO] .
J. Körner, S. Messuti, G. Simonyi, Families of graph-different
Hamilton paths , SIAM J. Discrete Math. , 26 (2012), 321-329;
also available at arXiv:1106.3754 .
A. Gyárfás, G. Simonyi, Á. Tóth, Gallai colorings and domination
in multipartite digraphs, J. Graph Theory , 71 (2012), 278-292; also available at arXiv:1006.2044 .
B. Mohar, G. Simonyi, G. Tardos, Local chromatic number of
quadrangulations of surfaces, Combinatorica , 33 (2013), 467-494; also available
at arXiv:1010.0133 .
G. Simonyi, C. Tardif, A. Zsbán,
Colourful theorems and
indices of homomorphism complexes , Electron. J. Combin., 20
(2013), no. 1, #P10.
G. Simonyi, G. Tardos, A. Zsbán, Relations between the local
chromatic number and its directed version,
J. Graph Theory, 79 (2015), 318-330; also available
at arXiv:1305.7473 .
G. Simonyi, Á. Tóth, Dilworth rate: a generalization of
Witsenhausen's zero-error rate for directed graphs IEEE
Trans. Inform. Theory, Vol. 61,
No. 2 (February 2015), 715-726; also
available at arXiv:1406.0767 .
Z. Helle, G. Simonyi, Orientations making k-cycles
cyclic, Graphs and Combinatorics, 32 (2016), 2415 -
2423;
also available at arXiv:1502.06888 .
A. Sali, G. Simonyi, G. Tardos, Partitioning transitive
tournaments into isomorphic digraphs, Order, 38 (2021), 211-228; online available journal version is here;
(an earlier version is)
also available at arXiv:1806.00729
[math.CO] .
G. Simonyi, On colorful edge triples in
edge-colored complete graphs, Graphs and Combinatorics, 36 (2020), 1623-1637; online available journal version is here; (an earlier version is) also
available at arXiv:arXiv:1812.06706 [math.CO] .
G. Simonyi, Shannon capacity and the
categorical product, Electronic J. Combin., 28 (2021), no. 1, #P1.51; (an earlier version is) also
available at arXiv:1911.00944 [math.CO] .
G. Simonyi, G. Tardos, On 4-chromatic Schrijver
graphs: their structure, non-3-colorability, and critical edges, Acta Mathematica Hungarica, 161 (2:Special issue dedicated to Endre Szemerédi's 80th birthday) (2020), 583-617,
online available journal version is here;
an earlier version is also
available at arXiv:1912.03724 [math.CO] .
A. Gujgiczer, G. Simonyi, On multichromatic numbers of widely colorable graphs, J. Graph Theory, 100 (2022), 346-361, see the journal page here; also
available at arXiv:2102.03120 [math.CO] .
N. Alon, A. Gujgiczer, J. Körner, A. Milojević, G. Simonyi, Structured Codes of Graphs, SIAM J. Discrete Math., 37 (2023), 379-403; also
available at arXiv:2202.06810 [math.CO] .
A. Gujgiczer, G. Simonyi, Critical subgraphs of Schrijver graphs for the fractional chromatic number, Graphs and Combinatorics, to appear; already available online at https://link.springer.com/article/10.1007/s00373-024-02782-9 ; also
available at arXiv:2212.09520 [math.CO].
A. Gujgiczer, G. Simonyi, G. Tardos, On the generalized Mycielskian of complements of odd cycles, Proceedings of the 12th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
(March 21-24, 2023, Budapest, Hungary), 485-488. (The main goal of the talk based on this extended abstract was to popularize a special case of an earlier result by Pan and Zhu that we have rediscovered. Since it is about an existing result this manuscript is not planned to be published in a journal.)
B. Csonka, G. Simonyi, Shannon capacity, Lovász theta number and the Mycielski construction , IEEE Trans. Inform. Theory, Volume: 70, Issue: 11, (November 2024), 7632 - 7646; also
available at arXiv:2312.09224 [math.CO], the journal version is here.
P. Frankl, Z. Füredi, I. Goorevitch, R. Holzman, G. Simonyi, Triangle-free triple systems, submitted; also
available at arXiv:2405.16452 [math.CO].