In this paper, we estimate the size of 3-uniform hypergraphs not contain- ing cycles of given odd length, but surprisingly the result will be related to the ...
We give upper bounds for the size of 3-uniform hypergraphs avoiding a given odd cycle using the definition of a cycle due to Berge. In particular, we show ...
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Recently, the authors gave upper bounds for the size of 3-uniform hypergraphs avoiding a given odd cycle using the definition of a cycle due to Berge.
We show that the maximum number of edges in a $3$-uniform hypergraph without a Berge cycle of length four is at most $(1+o(1))\frac{n^{3/2}}{\sqrt{10}}$.
Sep 8, 2017 · I'm asked to prove using induction on the vertices of a graph that if it has no cycles of odd length it is bipartite.
Missing: Hypergraphs | Show results with:Hypergraphs
Hypergraphs with no odd cycle of given length - ResearchGate
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Abstract. We give upper bounds for the size of 3-uniform hypergraphs avoiding a given odd cycle using the definition of a cycle due to Berge. In particular, we ...
Dec 23, 2012 · For example, the above theorem shows that hypergraphs with no odd cycles contain only a few edges, while bipartite hypergraphs can contain ...
The authors gave upper bounds for the size of 3-uniform hypergraphs avoiding a given odd cycle using the definition of a cycle due to Berge.
Sep 7, 2020 · I am not sure how to show that when a connected graph G=(V,E) does not have cycles of odd length, that we can construct the two partition classes.
Missing: Hypergraphs | Show results with:Hypergraphs
In this paper we show that the maximum number of hyperedges in a $3$-uniform hypergraph on $n$ vertices without a (Berge) cycle of length five is less than $( ...