The half-integrality conjecture for peg-solitaire linear tests
Let S\mathfrak{S}S be the set of points of a peg-solitaire board. Let V(S,Z)V(\mathfrak{S},\mathbb{Z})V(S,Z) be the integer span of legal-move vectors and let V+(S,Q)V^+(\mathfrak{S},\mathbb{Q})V+(S,Q)…