A Stronger Bound for the Strong Chromatic Index
نویسندگان
چکیده
We prove χs(G) ≤ 1.93∆(G) for graphs of sufficiently large maximum degree where χs(G) is the strong chromatic index of G. This improves an old bound of Molloy and Reed. As a by-product, we present a Talagrandtype inequality where it is allowed to exclude unlikely bad outcomes that would otherwise render the inequality unusable.
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ورودعنوان ژورنال:
- Combinatorics, Probability & Computing
دوره 27 شماره
صفحات -
تاریخ انتشار 2015