Problems / combinatorics
combinatorics / Permutational Ramsey theory
Nineteen exact reflective and dihedral Ramsey numbers from Damnjanovic-Dordevic's tables
Nineteen individual exact values, each decided by SAT certificate: unsatisfiable at the claimed n, witnessed satisfiable at n−1. They close cells in DD26's Tables 3-13 but settle no infinite family - the sibling entries do that for the K column. The three overlap cells are Rdih(P4alt,K6)=16, Rdih(P3alt,K9)=17 and Rdih(P9alt,K3)=17, each an instance of a sibling theorem; the remaining sixteen stand on their own certificates. Four further cells passed the producing solver but await their final referee leg and are not claimed. Open: every other cell of DD26's tables, all cyclic-action and online-Ramsey cells.