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In this paper, we provide an asymptotic formula for the number of k-edge-connected r-uniform hypergraphs with n vertices and m = O(n log n) edges, ...
In this paper, we provide an asymptotic formula for the number of k-edge-connected r-uniform hypergraphs with n vertices and m = O(n log n) edges, where r ≥ 3 ...
Oct 22, 2024 · In this paper, we provide an asymptotic formula for the number of k-edge-connected r-uniform hypergraphs with n vertices and m = O(n log n) ...
In this paper, we provide an asymptotic formula for the number of k-edge-connected r-uniform hypergraphs with n vertices and m = O(n log n) edges, ...
Abstract ; In this paper, we provide an asymptotic formula for the number of k-edge-connected r-uniform hypergraphs with n vertices and m = O(n log n) edges, ...
In this paper, we provide an asymptotic formula for the number of k-edge-connected r-uniform hypergraphs with n vertices and m = O(n log n) edges, ...
For a graph H, the Ramsey number r(H) is the least positive integer N such that, in every two- colouring of the edges of complete graph KN on N vertices, there ...
Sep 10, 2023 · This shows that there exists a transversal of size at most s(p∗)=m if n>km, meaning that we just choose (at most) one vertex in each hyperedge ...
Given a hypergraph H = (V,E), its order is its number of vertices |V |, and its size is its number of edges |E|. The degree dH (v) of a vertex v ∈ V is the.
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Note that, for ` “ 2, a connector is an edge that is contained in a triangle. We prove a result that allows us to count the number of copies of small linear, ...