Largest Known (Degree, Diameter)-Graphs

Diameter 10

Last modification: August 31, 2006
http://www-mat.upc.es/grup_de_grafs/desc_g10.html

Conder_1250
Delta= 3, Diam= 10; N=1 250; Moore bound=3070;
Communicated by Marston Conder ( m.conder@auckland.ac.nz ) on August 17, 2006. http://www.math.auckland.ac.nz/~conder/symmcubic2048list.txt
Download the adjacency list of the graph.
Loz_17703
Degree= 4, Diameter = 10; Order =17604; Moore bound=118097.
Communicated by Eyal Loz, Math Dep., Auckland Univ., New Zealand (July 2006)
Download the adjacency list of the graph.
Link to Eyal Loz's data. (eloz002 @ math .auckland. ac. nz ) Communicated July 2006.

Results for diameter 10 and degrees 5 to 14 obtained by Eyal Loz, Math Dep., Auckland Univ., New Zealand (August 2006)
Link to Eyal Loz's data. (eloz002 @ math .auckland. ac. nz )

Q11Q4 H11
Degree= 15, Diameter = 10; Order =4.149.702.144; Moore bound=.
J. Gomez Marti, M. Miller. Two new families of large compound graphs. Networks 47 (2006) pp. 140-146.
Q11S6 H13
Degree= 16, Diameter = 10; Order =7 394 669 856; Moore bound=.