Published November 3, 2026 | Version 1

Large graphs of given maximum degree and diameter (Degree-Diameter Problem): 8 constructions, 3 November 2026

Description

Eight graphs for the degree-diameter problem: (8,10) 27,019,307; (9,4) 1,770; (10,4) 2,566; (11,4) 3,654; (14,3) 1,208; (14,8) 65,587,703; (14,10) 8,052,194,837; (16,10) 29,976,204,593. On 3 November 2026 each was larger than the entry for its (Delta, D) in the table maintained by F. Comellas. Adjacency lists for (9,4), (10,4), (11,4) and (14,3), built on graphs of F. Comellas; Cayley graph parameters for the other four; and two checkers, bpverify2.c and voltverify.c

Files

deg10_diam4_n2566.txt

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