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math.CO2025
The subpath number of cactus graphs
Martin Knor, Jelena Sedlar, Riste Škrekovski +1
The subpath number of a graph G is defined as the total number of subpaths in G, and it is closely related to the number of subtrees, a well-studied topic in graph theory. This pap…
math.CO2025
Invitation to the subpath number
Martin Knor, Jelena Sedlar, Riste Škrekovski +1
In this paper we count all the subpaths of a given graph G; including the subpaths of length zero, and we call this quantity the subpath number of G. The subpath number is related…