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On Strict Brambles
[article]

2022
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arXiv
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pre-print

A strict bramble of a graph G is a collection of pairwise-intersecting connected subgraphs of G. The order of a strict bramble B is the minimum size of a set of vertices intersecting all sets of B. The strict bramble number of G, denoted by sbn(G), is the maximum order of a strict bramble in G. The strict bramble number of G can be seen as a way to extend the notion of acyclicity, departing from the fact that (non-empty) acyclic graphs are exactly the graphs where every strict bramble has order

arXiv:2201.05783v1
fatcat:vhqb3gfn2ves7j4c33unlq3q6q