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An upper bound for graphs of diameter 3 and given degree obtained as abelian lifts of dipoles

JOURNAL ARTICLE published 2008 in Discussiones Mathematicae Graph Theory

Authors: Tomáš Vetrik

https://doi.org/10.7151/dmgt.1393 Actions

Graphs of given degree and diameter obtained as abelian lifts of dipoles

JOURNAL ARTICLE published May 2009 in Discrete Mathematics

Authors: Eyal Loz

https://doi.org/10.1016/j.disc.2008.08.024 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

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

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

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 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

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

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

New large graphs with given degree and diameter six

JOURNAL ARTICLE published September 1999 in Networks

Authors: J. Gómez | I. Pelayo | C. Balbuena

https://doi.org/10.1002/(sici)1097-0037(199909)34:2<154::aid-net8>3.3.co;2-z 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

Improved bound on the oriented diameter of graphs with given minimum degree

JOURNAL ARTICLE published January 2017 in European Journal of Combinatorics

Authors: Michel Surmacs

https://doi.org/10.1016/j.ejc.2016.08.006 Actions

New large graphs with given degree and diameter six

JOURNAL ARTICLE published September 1999 in Networks

Authors: J. G�mez | I. Pelayo | C. Balbuena

https://doi.org/10.1002/(sici)1097-0037(199909)34:2<154::aid-net8>3.0.co;2-7 Actions

Smallest regular graphs of given degree and diameter

JOURNAL ARTICLE published 2014 in Discussiones Mathematicae Graph Theory

Authors: Martin Knor

https://doi.org/10.7151/dmgt.1702 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

Size of graphs and digraphs with given diameter and connectivity constraints

JOURNAL ARTICLE published June 2021 in Acta Mathematica Hungarica

Authors: P. Dankelmann

https://doi.org/10.1007/s10474-021-01137-7 Actions

Cayley graphs of diameter two with order greater than 0.684 of the Moore bound for any degree

JOURNAL ARTICLE published October 2016 in European Journal of Combinatorics

Research funded by VEGA (1/0811/14) | European Regional Development Fund (26220220179)

Authors: Marcel Abas

https://doi.org/10.1016/j.ejc.2016.04.008 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 Moore-like bound for mixed abelian Cayley graphs

JOURNAL ARTICLE published October 2016 in Electronic Notes in Discrete Mathematics

Research funded by Ministry of Economy and Competitiveness (MTM2013-46949-P)

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

https://doi.org/10.1016/j.endm.2016.09.026 Actions
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