On chromatic enumeration for rooted outerplanar maps (Q908939)

The author extends his work on chromatic enumeration of maps to rooted nonseparable outerplanar maps. Set \[ g(x,y,z;\lambda)=\sum_{M}P(M;\lambda)x^{m(M)}y^{s(M)}z^{t(M)} \] where M is rooted nonseparable outerplanar map with m(M) edges, s(M) root-face valency and t(M) root-vertex valency; and P(M;\(\lambda)\) is the chromatic polynomial of M. Explicit formulae are given for g(x,y,z;\(\lambda)\) after several substitutions.