Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
李书超 教授,华中师范大学数学与统计学学院
Inviter:
Title:
On the hitting time of random walks and some related extremal problems
Time & Venue:
2018.11.30 15:00 N205
Abstract:
In this talk, a close relation between hitting times of the simple random walk on a graph, the Kirchhoff index, the resistance-centrality, and related invariants of graphs is displayed. Combining graph transformations and some other techniques, sharp upper and lower bounds on the cover cost (resp. reverse cover cost), the multiplicative degree-Kirchhoff index, the number of spanning trees of graphs are determined. All the corresponding extremal graphs are identified.