Bounding the number of edges in permutation graphs.
Keevash, Peter, Loh, Po-Shen, Sudakov, Benny (2006)
The Electronic Journal of Combinatorics [electronic only]
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Keevash, Peter, Loh, Po-Shen, Sudakov, Benny (2006)
The Electronic Journal of Combinatorics [electronic only]
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T. Karthick, C.R. Subramanian (2013)
Discussiones Mathematicae Graph Theory
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A star coloring of an undirected graph G is a coloring of the vertices of G such that (i) no two adjacent vertices receive the same color, and (ii) no path on 4 vertices is bi-colored. The star chromatic number of G, χs(G), is the minimum number of colors needed to star color G. In this paper, we show that if a graph G is either non-regular subcubic or cubic with girth at least 6, then χs(G) ≤ 6, and the bound can be realized in linear time.
Leese, R.A., Noble, S.D. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Rothbach, Brian (2010)
The Electronic Journal of Combinatorics [electronic only]
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d'Azevedo Breda, A.M., Ribeiro, Patrícia S., Santos, Altino F. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Khoroshkin, Anton, Shapiro, Boris (2011)
The Electronic Journal of Combinatorics [electronic only]
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D'Azevedo Breda, A.M., Ribeiro, Patrícia S., Santos, Altino F. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Faliharimalala, Hilarion L.M., Zeng, Jiang (2008)
The Electronic Journal of Combinatorics [electronic only]
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Bagno, Eli, Butman, Ayelet, Garber, David (2007)
The Electronic Journal of Combinatorics [electronic only]
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Dohmen, Klaus, Tittmann, Peter (2004)
The Electronic Journal of Combinatorics [electronic only]
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Viktor Harangi (2011)
Open Mathematics
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We say that a set in a Euclidean space does not contain an angle α if the angle determined by any three points of the set is not equal to α. The goal of this paper is to construct compact sets of large Hausdorff dimension that do not contain a given angle α ∈ (0,π). We will construct such sets in ℝn of Hausdorff dimension c(α)n with a positive c(α) depending only on α provided that α is different from π/3, π/2 and 2π/3. This improves on an earlier construction (due to several authors)...
Noble, S.D. (2009)
The Electronic Journal of Combinatorics [electronic only]
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