Keynote Speaker:Jin Xian'an

Abstract:

In [1], Gross, Mansour and Tucker introduced the partial-dual orientable genus polynomial and the partial-dual Euler genus polynomial and posed some conjectures and research problems. In this talk we first answer two conjectures by counterexamples [2,3] and then give two further results [4] obtained recently. This is joint work with Dr Qi Yan who is now working in China University of Mining and Technology.

References:

[1] J. L. Gross, T. Mansour and T. W. Tucker, Partial duality for ribbon graphs, I: Distributions, European J. Combin. 86 (2020) 103084.

[2] Q. Yan and X. Jin, Counterexamples to a conjecture by Gross, Mansour and Tucker on partial-dual genus polynomials of ribbon graphs, European J. Combin., accepted.

[3] Q. Yan and X. Jin, Counterexamples to the interpolating conjecture on partial-dual genus polynomials of ribbon graphs, arXiv:2009.05950[math.Co].

[4] Q. Yan and X. Jin, Two results on partial-dual genus polynomials, manuscript.

Introduction to the Speaker:

Jin Xian'an, male, born in February 1976, professor and doctoral supervisor at the School of Mathematical Sciences, Xiamen University, mainly studies the graph theory, combinatorial knot conclusions and mathematical chemistry, and has published more than 50 papers in internationally renowned academic journals such as AAM, JGT, and PAMS. He has been invited to give lectures at famous academic conferences, such as the Combinatorics and Graph Theory Conference, the Annual Conference of the Chinese Mathematical Society, the Asian Mathematical Conference, and the Pan-Pacific International Conference on Topology and Applications.

Inviter:

Wang Guanghui Professor of School of Mathematics

Time:

19:00-20:30 on October 29 (Thursday)

Location:

Tencent Meeting ID: 501 258 711

Sponsored by: School of Mathematics, Shandong University