More maps of p-gons with a ring of q-gons

We study 3-valent maps Mn(p, q) consisting of a ring of n q-gons whose the inner and outer domains are filled by p-gons, for p, q ≥ 3. We describe a domain in the space of parameters p, q, and n, for which such a map may exist. With four infinite sequences of maps prisms Mp(p ≥ 3, 4), M4(4, q ≥ 4), M4(5, 5t+2 ≥ 7), M4(5, 5t+3 ≥ 8), we give 26 sporadic ones. The maps whose p-gons form two paths are first two infinite sequences and 5 maps: M28(7, 5), M12(6, 5), M10(5, 6), M20(5, 7), M2(3, 6). 1991 Mathematics Subject Classification: primary 52B10; secondary