Table of graphs

Table of graphs

=Table of the orders of the largest known graphs for the undirected Degree Diameter problem=

Below is the table of the best known graphs (as of October 2008) in the undirected Degree diameter problem.

The following table is the key to the colors in the table presented above:



References

* citation
last1 = Hoffman
first1 = Alan J.
last2 = Singleton
first2 = Robert R.
title = Moore graphs with diameter 2 and 3
journal = IBM Journal of Research and Development
volume = 5
issue = 4
year = 1960
pages = 497–504
url = http://www.research.ibm.com/journal/rd/045/ibmrd0405H.pdf
id = MathSciNet | id = 0140437

* citation
last1 = J. Dinneen
first1 = Michael
last2 = Hafner
first2 = Paul R.
title = New Results for the Degree/Diameter Problem
journal = Networks
volume = 24
issue = 7
year = 1994
pages = 359-367
url = http://arxiv.org/PS_cache/math/pdf/9504/9504214v1.pdf

* citation
last1 = McKay
first1 = Brendan D.
last2 = Miller
first2 = Mirka
last3 = Širáň
first3 = Jozef
title = A note on large graphs of diameter two and given maximum degree
journal = Journal of Combinatorial Theory Series B
volume = 74
issue = 4
year = 1998
pages = 110-118
url = http://portal.acm.org/citation.cfm?id=299331

* citation
last1 = Miller
first1 = Mirka
last2 = Širáň
first2 = Jozef
title = Moore graphs and beyond: A survey of the degree/diameter problem
journal = Electronic Journal of Combinatorics
volume = Dynamic survey D
year = 2005
url = http://www.combinatorics.org/Surveys/ds14.ps

* citation
last1 = Pineda-Villavicencioa
first1 = Guillermo
last2 = Gómez
first2 = José
last3 = Miller
first3 = Mirka
last4 = Pérez-Rosésd
first4 = Hebert
title = New Largest Graphs of Diameter 6
journal = Electronic Notes in Discrete Mathematics
volume = 24
year = 2006
pages = 153-160

* citation
last1 = Loz
first1 = Eyal
last2 = Širáň
first2 = Jozef
title = New record graphs in the degree-diameter problem
journal = Australasian Journal of Combinatorics
volume = 41
year = 2008
pages = 63-80
url = http://ajc.maths.uq.edu.au/volume_contents.php3?vol=41

External links

* [http://www-mat.upc.es/grup_de_grafs/ Degree Diameter] online table.
* [http://moorebound.indstate.edu/index.php/Main_Page Degree Diameter] self-update wiki.
* [http://www.eyal.tk/degreediameter/ Eyal Loz] 's Degree-Diameter problem page.
* [http://isu.indstate.edu/ge/DD/index.html Geoffrey Exoo] 's Degree-Diameter record graphs page.


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