@article {IOPORT.05963796,
    author       = {Wan, Liangxia and Liu, Yanpei},
    title        = {Orientable embedding distributions by genus for certain type of non-planar graphs. II.},
    year         = {2010},
    journal      = {Ars Combinatoria},
    volume       = {94},
    issn         = {0381-7032},
    pages        = {201-210},
    publisher    = {Charles Babbage Research Centre, Winnipeg, MB},
    abstract     = {Summary: In this paper we give an explicit expression of the genus distributions of $M^n_j$, for $j=1,2,\dots ,11$, which are introduced in the authors' previous paper [``Orientable embedding distributions by genus for certain type of non-planar graphs. I,'' Ars Comb. 79, 97--105 (2006; Zbl 1141.05319)]. For a connected graph $G=(V,E)$ with a cycle, let $e$ be an edge on a cycle. By adding $2n$ vertices $u_1$, $u_2$, $u_3$, \dots , $u_n$, $v_1$, $v_2$, $v_3$, \dots , $v_n$ on $e$ in sequence and connecting $u_k v_k$- for $k$, $1\le k\le n$, a non-planar graph $G_n$ is obtained for $n\ge 3$. Thus, the orientable embedding distribution of $G_n$ by genus is obtained via the genus distributions of $M^n_j$.},
    identifier   = {05963796},
}