The bouquet of circles Bn and dipole graph Dn are two important classes graphs in topological theory. For n ≥ 1, we give an explicit formula for the average genus γavg(Bn) Bn. By this expression, one easily sees = (n − ln γ + 1 2) / 2 o(1), where is Euler-Mascheroni constant. Similar results obtained Dn. Our method mainly depends on technique generating series knowledge ordinary differential eq...

During meiotic prophase, telomeres attach to the inner nuclear envelope and cluster to form the so-called meiotic bouquet. Although this has been observed in almost all organisms studied, its precise function remains elusive. The coincidence of telomere clustering and initiation of chromosome synapsis has led to the hypothesis that the bouquet facilitates homologous chromosome pairing and synap...