We define a family of locally-almost-uniform hypergraphs, for which we show, via the randomized algorithm of Cherkashin and Kozik (Rand. Struct. Alg., 2015),
In this work, we show improved sufficient conditions when F is locally-almost-uniform – specifically, λ-approximately-uniform as defined later – for a large.
Property B: Two-Coloring Non-Uniform Hypergraphs · J. Radhakrishnan, A. Srinivasan · Published in Foundations of Software… 2021 · Mathematics.
A twin-hypergraph is a pair of hypergraphs (H1,H2) with the same vertex set V (H1) = V (H2). The twin-hypergraph (H1,H2) is said to have Property B.
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Mar 12, 2019 · A well known observation of Lovász is that if a hypergraph is not 2-colorable, then at least one pair of its edges intersect at a single vertex.
A hypergraph H = (V,E) is said to have property B if there exists a 2-coloring of the vertices V such that no edge in E is monochromatic.
Dec 5, 2024 · An n-uniform hypergraph is not 2-colorable if its vertices can't be colored with two colors, Red and Blue, such that every hyperedge contains ...
Jul 19, 2008 · A hypergraph. H (not necessary uniform) is said to have Property B (or 2-colorable) if there is a red-blue vertex-coloring of H with no ...
H is said to be non-2-colorable if no proper 2-coloring exists for it; otherwise, it is said to satisfy Property B. For an integer n ≥ 1, let m(n) denote ...
The research on this problem has been started in the 60s by Erdős and Hajnal [5], who used the term. Property B for two colorability. ... coloring non-uniform ...