Published October 29, 2026 | Version v1

Large graphs of given maximum degree and diameter (Degree-Diameter Problem): 5 constructions

Description

28 October 2026
Five graphs for the degree-diameter problem: (10,8) 4,524,979; (12,8) 19,218,539; (13,9) 362,847,996; (14,9) 709,728,527; (16,9) 2,345,620,783. On 28 October 2026 each was larger than the entry for its (Delta, D) in the table maintained by F. Comellas. Adjacency lists for (10,8) and (12,8), Cayley graph parameters for the other three, and two checkers, bpverify2.c and voltverify.c. README.md gives the formats and the checks. 

Files

deg13_diam9_n362847996.json

Files (102.7 MB)

Name Size
md5:a35b3ff0e2d8252c683453acc470a4ff
9.9 kB Download
md5:b5205af5835ccfc6c2b24a370c8b5eb4
15.3 MB Download
md5:0295d215176ce18bbad9df64e3fc25e2
87.3 MB Download
md5:b00630dfcb9c83664e8933850db1a633
960 Bytes Preview Download
md5:3e42a46e42e938d0e382e7c38be14669
963 Bytes Preview Download
md5:8b327ba33b75265629608b9a7fb1c89b
1.0 kB Preview Download
md5:f73fbcb84ffa2cd3f93c542cd1c3d3ee
2.0 kB Preview Download
md5:b2bb82737c024bb15bec133583323b46
12.5 kB Download

Additional details