Jinlian Zhang

collaborators

3 papers

math.CO2019

The average genus for bouquets of circles and dipoles

Jinlian Zhang, Xuhui Peng, Yichao Chen

The bouquet of circles $B_{n}$ and dipole graph $D_{n}$ are two important classes of graphs in topological graph theory. For $n \geq 1$ , we give an explicit formula for the average genu…

math.CO2019

Limits for embedding distributions

Jinlian Zhang, Xuhui Peng, Yichao Chen

In this paper, we find and prove that, under some conditions, the embedding distributions of $H$ -linear graph families with spiders are asymptotic normal distributions. It can been…

math.CO2019

Euler-genus distributions of cubic Halin graphs

Jinlian Zhang, Xuhui Peng

Gross derived an $O (n^{2})$ -time algorithm to calculate the genus distribution of a given cubic Halin graph. In this paper, with the help of overlap matrix, we get a recurrence relat…