The Ramsey number of diamond-matchings and loose cycles in hypergraphs.
Gyárfás, András, Sárközy, Gábor N., Szemerédi, Endre (2008)
The Electronic Journal of Combinatorics [electronic only]
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Gyárfás, András, Sárközy, Gábor N., Szemerédi, Endre (2008)
The Electronic Journal of Combinatorics [electronic only]
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Ioan Tomescu (2014)
Discussiones Mathematicae Graph Theory
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In this note it is shown that every hypergraph containing a pendant path of length at least 2 is not chromatically unique. The same conclusion holds for h-uniform r-quasi linear 3-cycle if r ≥ 2.
Kostochka, Alexandr (2002)
The Electronic Journal of Combinatorics [electronic only]
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Ernest Jucovič, František Olejník (1974)
Časopis pro pěstování matematiky
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František Olejník (1989)
Mathematica Slovaca
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Julian A. Allagan, David Slutzky (2014)
Discussiones Mathematicae Graph Theory
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We color the vertices of each of the edges of a C-hypergraph (or cohypergraph) in such a way that at least two vertices receive the same color and in every proper coloring of a B-hypergraph (or bihypergraph), we forbid the cases when the vertices of any of its edges are colored with the same color (monochromatic) or when they are all colored with distinct colors (rainbow). In this paper, we determined explicit formulae for the chromatic polynomials of C-hypercycles and B-hypercycles ...
Chen, Ailian, Zhang, Fuji, Li, Hao (2008)
The Electronic Journal of Combinatorics [electronic only]
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Caro, Yair (1994)
International Journal of Mathematics and Mathematical Sciences
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Yair Caro, Josef Lauri, Christina Zarb (2015)
Discussiones Mathematicae Graph Theory
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A constrained colouring or, more specifically, an (α, β)-colouring of a hypergraph H, is an assignment of colours to its vertices such that no edge of H contains less than α or more than β vertices with different colours. This notion, introduced by Bujtás and Tuza, generalises both classical hypergraph colourings and more general Voloshin colourings of hypergraphs. In fact, for r-uniform hypergraphs, classical colourings correspond to (2, r)-colourings while an important instance of...