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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Kostochka, Alexandr (2002)
The Electronic Journal of Combinatorics [electronic only]
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Xu, Xiaodong, Radziszowski, Stanislaw P. (2009)
The Electronic Journal of Combinatorics [electronic only]
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Chen, Ailian, Zhang, Fuji, Li, Hao (2008)
The Electronic Journal of Combinatorics [electronic only]
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Axenovich, Maria, Choi, JiHyeok (2010)
The Electronic Journal of Combinatorics [electronic only]
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Mubayi, Dhruv (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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Sylwia Cichacz, Jakub Przybyło (2010)
Discussiones Mathematicae Graph Theory
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In the PhD thesis by Burris (Memphis (1993)), a conjecture was made concerning the number of colors c(G) required to edge-color a simple graph G so that no two distinct vertices are incident to the same multiset of colors. We find the exact value of c(G) - the irregular coloring number, and hence verify the conjecture when G is a vertex-disjoint union of paths. We also investigate the point-distinguishing chromatic index, χ₀(G), where sets, instead of multisets, are required to be distinct,...
LeSaulnier, Timothy D., Stocker, Christopher, Wenger, Paul S., West, Douglas B. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Elliot Krop, Irina Krop (2013)
Discussiones Mathematicae Graph Theory
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Let f(n, p, q) be the minimum number of colors necessary to color the edges of Kn so that every Kp is at least q-colored. We improve current bounds on these nearly “anti-Ramsey” numbers, first studied by Erdös and Gyárfás. We show that [...] , slightly improving the bound of Axenovich. We make small improvements on bounds of Erdös and Gyárfás by showing [...] and for all even n ≢ 1(mod 3), f(n, 4, 5) ≤ n− 1. For a complete bipartite graph G= Kn,n, we show an n-color construction to color...