The Strong Chromatic Index of Random Graphs
نویسندگان
چکیده
منابع مشابه
The Strong Chromatic Index of Random Graphs
The strong chromatic index of a graph G, denoted by χs(G), is the minimum number of colors needed to color its edges so that each color class is an induced matching. In this paper we analyze the asymptotic behavior of this parameter in a random graph G(n, p), for two regions of the edge probability p = p(n). For the dense case, where p is a constant, 0 < p < 1, we prove that with high probabili...
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For a graph G, a strong edge coloring of G is an edge coloring in which every color class is an induced matching. The strong chromatic index of G, χs(G), is the smallest number of colors in a strong edge coloring of G. In [9], Z. Palka proved that if p = p(n) = Θ(n−1), then with high probability, χs(G(n, p)) = O(∆(G(n, p))). Recently in [12], V. Vu proved that if n−1(lnn)1+δ ≤ p = p(n) ≤ n−ε fo...
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The strong chromatic index of graphs Mohammad Mahdian Master of Science Graduate Department of C o m p t e r Science University of Toronto 2000 A strong edge-colouring of a graph G is an assignrnent of colours to the edges of G such that every colour class is an induced matching. The minimum number of colours in such a colouring is called the strong chromatic index of G. In 1985, Erdos and Nese...
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The Strong Chromatic Index of Halin Graphs By Ziyu Hu A strong edge coloring of a graph G is an assignment of colors to the edges of G such that two distinct edges are colored differently if they have adjacent endpoints. The strong chromatic index of a graph G, denoted by χs(G), is the minimum number of colors needed for a strong edge coloring of G. A Halin graph G is a planar graph constructed...
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The strong chromatic index of a graph is the minimum number of colours needed to colour the edges in such a way that each colour class is an induced matching. In this paper, we present bounds for the strong chromatic index of three different products of graphs in terms of the strong chromatic index of each factor. For the Cartesian product of paths, cycles or complete graphs, we derive sharper ...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2005
ISSN: 0895-4801,1095-7146
DOI: 10.1137/s0895480104445757