Published October 31, 2026 | Version 1

Large graphs of given maximum degree and diameter (Degree-Diameter Problem): 8 constructions

Description

Dharunish Yugeswardeenoo Oct 30 2026

Eight graphs for the degree-diameter problem: (9,10) 89,658,816; (10,10) 265,782,337; (11,10) 697,429,356; (12,10) 1,693,183,778; (13,10) 3,789,512,750; (15,8) 110,182,818; (15,9) 1,315,254,800; (16,8) 185,488,215. On 31 October 2026 each was larger than the entry for its (Delta, D) in the table maintained by F. Comellas. Cayley graph parameters for all eight, and the checker voltverify.c. README.md gives the format and the check. 

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