Top Degree Part in $b$-Conjecture for Unicellular Bipartite Maps

[摘要] Goulden and Jackson (1996) introduced, using Jack symmetric functions, some multivariate generating series $\psi(\boldsymbol{x}, \boldsymbol{y},\boldsymbol{z}; 1, 1+\beta)$ with an additional parameter $\beta$ that might be interpreted as a continuous def

[学科分类] 离散数学和组合数学

[关键词] Map enumeration;Jack symmetric functions;$b$-Conjecture