Star Chromatic Index
نویسندگان
چکیده
The star chromatic index χs(G) of a graph G is the minimum number of colors needed to properly color the edges of the graph so that no path or cycle of length four is bi-colored. We obtain a near-linear upper bound in terms of the maximum degree ∆ = ∆(G). Our best lower bound on χs in terms of ∆ is 2∆(1 + o(1)) valid for complete graphs. We also consider the special case of cubic graphs, for which it is shown that the star chromatic index lies between 4 and 7. The proofs involve a variety of notions from other branches of mathematics and may therefore be of certain independent interest.
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 72 شماره
صفحات -
تاریخ انتشار 2013