| 1 | The genus distribution of a graph G is denoted by its genus polynomial. | |
| 2 | The genus polynomial for a graph G shows the genus distribution of the genus of G. | |
| 3 | Therefore, considerable attention is given to the lower bounds on the maximum genus of graphs. | |
| 4 | In this paper, expressions of the genus distribution for certain sets of surfaces are provided. | |
| 5 | There are two fields in topological graph theory: one is the study of the properties of graph embedding. |