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A Note on the McKay–Miller–Širáň Graphs

JOURNAL ARTICLE published March 2001 in Journal of Combinatorial Theory, Series B

Authors: Jana Šiagiová

https://doi.org/10.1006/jctb.2000.2006 Actions

A note on large Cayley graphs of diameter two and given degree

JOURNAL ARTICLE published December 2005 in Discrete Mathematics

Authors: Jana Šiagiová | Jozef Širáň

https://doi.org/10.1016/j.disc.2005.10.015 Actions

Small vertex-transitive and Cayley graphs of girth six and given degree: an algebraic approach

JOURNAL ARTICLE published December 2011 in Journal of Graph Theory

Authors: Eyal Loz | Martin Mačaj | Mirka Miller | Jana Šiagiová | Jozef Širáň | Jana Tomanová

https://doi.org/10.1002/jgt.20556 Actions

A Note on Large Graphs of Diameter Two and Given Maximum Degree

JOURNAL ARTICLE published September 1998 in Journal of Combinatorial Theory, Series B

Authors: Brendan D McKay | Mirka Miller | Jozef Širáň

https://doi.org/10.1006/jctb.1998.1828 Actions

Approaching the Moore bound for diameter two by Cayley graphs

JOURNAL ARTICLE published March 2012 in Journal of Combinatorial Theory, Series B

Authors: Jana Šiagiová | Jozef Širáň

https://doi.org/10.1016/j.jctb.2011.07.005 Actions

Geometric realisation of the graphs of McKay–Miller–Širáň

JOURNAL ARTICLE published March 2004 in Journal of Combinatorial Theory, Series B

Authors: Paul R. Hafner

https://doi.org/10.1016/j.jctb.2003.07.002 Actions

Large Cayley graphs and vertex‐transitive non‐Cayley graphs of given degree and diameter

JOURNAL ARTICLE published June 2010 in Journal of Graph Theory

Authors: Heather Macbeth | Jana Šiagiová | Jozef Širáň | Tomáš Vetrík

https://doi.org/10.1002/jgt.20439 Actions

The spectrum of the McKay-Miller-Širáň graphs

OTHER published 2010 in Combinatorics and Graphs

Authors: A. Mohammadian | B. Tayfeh-Rezaie

https://doi.org/10.1090/conm/531/10467 Actions

Asymptotically approaching the Moore bound for diameter three by Cayley graphs

JOURNAL ARTICLE published January 2019 in Journal of Combinatorial Theory, Series B

Research funded by APVV (0136-12) | APVV (15-0220) | VEGA (1/0026/16) | VEGA (1/0142/17)

Authors: Martin Bachratý | Jana Šiagiová | Jozef Širáň

https://doi.org/10.1016/j.jctb.2018.06.003 Actions

Cayley graphs of given degree and diameter for cyclic, Abelian, and metacyclic groups

JOURNAL ARTICLE published January 2012 in Discrete Mathematics

Research funded by VEGA Research (1/0489/08) | APVV Research (0040-06,0104-07) | APVV LPP Research (0145-06,0203-06)

Authors: Heather Macbeth | Jana Šiagiová | Jozef Širáň

https://doi.org/10.1016/j.disc.2011.03.038 Actions

Revisiting Constructions of Large Cayley Graphs of Given Degree and Diameter from Regular Orbits

JOURNAL ARTICLE published September 2017 in Journal of Interconnection Networks

Authors: MARTIN BACHRATÝ | JANA ŠIAGIOVÁ | JOZEF ŠIRÁŇ

https://doi.org/10.1142/s0219265917410110 Actions

A variant of the McKay-Miller-Širáň construction for mixed graphs

JOURNAL ARTICLE published October 2016 in Electronic Notes in Discrete Mathematics

Research funded by Ministry of Economy and Competitiveness (MTM2013-46949-P) | VEGA (1/0065/13)

Authors: Nacho López | Hebert Pérez-Rosés | Jordi Pujolàs | Mária Ždímalová

https://doi.org/10.1016/j.endm.2016.09.027 Actions

Check-up 52: Conversion Graphs

BOOK CHAPTER published 2001 in Numeracy for Teaching

https://doi.org/10.4135/9781446221464.n52 Actions

A Note on Constructing Large Cayley Graphs of Given Degree and Diameter by Voltage Assignments

JOURNAL ARTICLE published 8 August 1997 in The Electronic Journal of Combinatorics

Authors: Ljiljana Branković | Mirka Miller | Ján Plesník | Joe Ryan | Jozef Širáň

https://doi.org/10.37236/1347 Actions

Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes

JOURNAL ARTICLE published October 2013 in Discrete Mathematics

Research funded by European Regional Development Fund Project (MTM-2011-28800-C02-02) | Government of Catalunya Project (2009-SGR-1298) | VEGA Research Grant (1/0781/11) | APVV Research Grant (0223-10) | GREGAS (ESF-EC-0009-10)

Authors: C. Balbuena | M. Miller | J. Širáň | M. Ždímalová

https://doi.org/10.1016/j.disc.2013.03.007 Actions

Triangle group representations and their applications to graphs and maps

JOURNAL ARTICLE published February 2001 in Discrete Mathematics

Authors: Jozef Širáň

https://doi.org/10.1016/s0012-365x(00)00215-6 Actions

Bead Theory

BOOK CHAPTER published 2001 in Encyclopedia of Genetics

Authors: J.H. Miller

https://doi.org/10.1006/rwgn.2001.0121 Actions

A Note on Maximal Cycles in 2-Connected Graphs

BOOK CHAPTER published 1985 in Annals of Discrete Mathematics (27): Cycles in Graphs

Authors: R. Häggkvist | Bill Jackson

https://doi.org/10.1016/s0304-0208(08)73011-1 Actions

Note on Ramsey theorems for spatial graphs

JOURNAL ARTICLE published July 2001 in Theoretical Computer Science

Authors: Seiya Negami

https://doi.org/10.1016/s0304-3975(00)00242-5 Actions

A computer-free classification of orientably-regular maps on surfaces of genus p+1 for prime p

JOURNAL ARTICLE published 11 October 2023 in The Art of Discrete and Applied Mathematics

Authors: Martin Bachratý | Marston Conder | Jana Šiagiová | Jozef Širáň

https://doi.org/10.26493/2590-9770.1596.a23 Actions
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