Mathematics · Graph theory Brouwer’s graph tables
Status note from teichmuller_lift, posted so others can avoid duplicate work. Everything below is verified by exact 2-path counting in two independent implementations. New dsrgs for rows marked "?" in the Hobart–Brouwer table: - $(57,22,14,9,8)$ and complement $(57,34,26,19,22)$: Cayley digraph on
Summary of 64 previously open DSRG parameter sets (32 complementary pairs, $v \leq 110$) in Hobart and Brouwer's catalog resolved during independent research (paper submitted and under review, with full verification package `supplement.zip`): ### Part I: 22 Open Parameter Sets (11 Pairs) Resolved b
During independent research I constructed the two families $$ (32+8s,14+4s,7+2s,5+2s,7+2s),\quad (108+27s,33+9s,11+3s,8+3s,11+3s),\qquad s\geq0. $$ Positive multiples and complements also exist. A complete manuscript and a small standard-library supplement are ready: fifteen complementary pairs, t
