Author

Rostislav Klech

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Preprint Sep 2026

Generating Functions and the Entropy Hierarchy of Strongly Connected Digraphs

We present a generating-function approach to the topological entropy of finite strongly connected digraphs, working throughout with digraphs in which loops are allowed but multiple edges are excluded. Using dominant singularities of path-generating functions, we recover by new analytic--combinatorial arguments the know...

Rostislav Klech · 1 citation

Preprint Sep 2026

Generating Functions and the Minimum Spectral Radius in Strongly Connected Digraphs with $m+2$ Edges

We study the minimum adjacency spectral radius in the class $\mathcal{SC}_{m+2}(m)$ of strongly connected digraphs with $m$ vertices and $m+2$ edges. Using generating functions for directed paths, we associate with the relevant digraphs topological polynomials whose smallest positive roots determine the corresponding s...

Rostislav Klech · 0 citations