TILINGS OF DISKS WITH HOLES / COBERTURAS DE DISCOS COM BURACOS
AUTOR(ES)
PAULA MONTEIRO BAPTISTA
DATA DE PUBLICAÇÃO
2006
RESUMO
Tilings of a quadriculated disk with holes D are counted according to vol- ume (in the formal variabel q) and flux (in p1; p2;... pN). We consider algebraic properties of the resulting generating function D (p1; p2; ...; pk; q). For p1; p2; ...; bpi; ...; pn; q >0 the polynomial f(pi) = D (p1; p2; ... ; pi; ...; pn; q) has all roots real numbers (and negative).
ASSUNTO(S)
height functions kasteleyn matrix matriz de kasteleyn tilings by dominoes discos com buracos disks with holes funcoes altura coberturas por dominos
