Author

Fahad Panolan

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Preprint Sep 2026

Vertex-Coloring Edge-Weighting: Kernelization and Generalization

This work shows that both pre-weighted problems have polynomial kernels when parameterized by $k, and shows that both problems are W[1]-hard parameterized by treedepth, answering another question from earlier work.

Shubhada Aute, Fahad Panolan, Geevarghese Philip · 0 citations

Preprint Sep 2026

Counting Paths and Trees via Exterior Algebra

We give randomized approximation algorithms for counting k-paths and k-forests in a host graph. Here k denotes the number of pattern vertices, n and m denote the numbers of host vertices and edges or arcs, {\epsilon} is the relative error, and {\delta} is the failure probability. Our main results are: 1. Paths: We appr...

Fahad Panolan, Saket Saurabh, M. Zehavi et al. · 0 citations