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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

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

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

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

Large vertex-transitive and Cayley graphs with given degree and diameter

JOURNAL ARTICLE published March 2007 in Electronic Notes in Discrete Mathematics

Authors: Jana Šiagiová | Tomáš Vetrík

https://doi.org/10.1016/j.endm.2007.01.051 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

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

Large bipartite Cayley graphs of given degree and diameter

JOURNAL ARTICLE published February 2011 in Discrete Mathematics

Authors: Tomáš Vetrík | Rinovia Simanjuntak | Edy Tri Baskoro

https://doi.org/10.1016/j.disc.2010.10.015 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

Large Cayley digraphs of given degree and diameter

JOURNAL ARTICLE published January 2012 in Discrete Mathematics

Authors: Tomáš Vetrík

https://doi.org/10.1016/j.disc.2011.09.011 Actions

Random Cayley digraphs of diameter 2 and given degree

JOURNAL ARTICLE published 10 September 2012 in Discrete Mathematics & Theoretical Computer Science

Authors: Manuel E. Lladser | Primož Potočnik | Jozef Širáň | Mark C. Wilson

https://doi.org/10.46298/dmtcs.588 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

Examples of products giving large graphs with given degree and diameter

JOURNAL ARTICLE published July 1992 in Discrete Applied Mathematics

Authors: C. Delorme

https://doi.org/10.1016/0166-218x(92)90130-3 Actions

Extremal graphs of diameter two and given maximum degree, embeddable in a fixed surface

JOURNAL ARTICLE published January 1997 in Journal of Graph Theory

Authors: Martin Knor | Jozef Širáň

https://doi.org/10.1002/(sici)1097-0118(199701)24:1<1::aid-jgt1>3.3.co;2-7 Actions

Cayley graphs of diameter two and any degree with order half of the Moore bound

JOURNAL ARTICLE published August 2014 in Discrete Applied Mathematics

Research funded by VEGA Research Grant (1/0007/14,1/0811/14)

Authors: Marcel Abas

https://doi.org/10.1016/j.dam.2014.04.005 Actions

Regular maps from Cayley graphs II antibalanced Cayley maps

JOURNAL ARTICLE published January 1994 in Discrete Mathematics

Authors: Jozef Širáň | Martin Škoviera

https://doi.org/10.1016/0012-365x(94)90089-2 Actions

Abelian Cayley Graphs of Given Degree and Diameter 2 and 3

JOURNAL ARTICLE published November 2014 in Graphs and Combinatorics

Authors: Tomáš Vetrík

https://doi.org/10.1007/s00373-013-1361-5 Actions

Large planar graphs with given diameter and maximum degree

JOURNAL ARTICLE published July 1995 in Discrete Applied Mathematics

Authors: M. Fellows | P. Hell | K. Seyffarth

https://doi.org/10.1016/0166-218x(94)00011-2 Actions

Regular maps from Cayley graphs, part 1: Balanced Cayley maps

JOURNAL ARTICLE published November 1992 in Discrete Mathematics

Authors: Martin Škoviera | Jozef Širáň

https://doi.org/10.1016/0012-365x(92)90296-r Actions
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