Neumann Kernel: How to Adjust Gamma for Influential Farther Vertices in Directed Graphs

The decay factor, 'gamma', in the Neumann kernel dictates how quickly a vertex's influence diminishes with distance from the source vertex in a directed graph. A larger 'gamma' leads to faster decay, while a smaller 'gamma' results in slower decay.

To make distant vertices more influential, you should opt for a smaller 'gamma' value. This ensures that even vertices several steps away from the source still exert significant influence on the target vertex.

However, be cautious. Choosing an excessively small 'gamma' can make the algorithm overly sensitive to distant vertices, potentially leading to instability and poor performance. Striking a balance between decay rate and sensitivity to distant vertices is crucial for optimal results.