Hadwiger's conjecture for line graphs
نویسندگان
چکیده
We prove that Hadwiger’s conjecture holds for line graphs. Equivalently, we show that for every loopless graph G (possibly with parallel edges) and every integer k ≥ 0, either G is k-edge-colourable, or there are k + 1 connected subgraphs A1, ..., Ak+1 of G, each with at least one edge, such that E(Ai ∩ Aj) = ∅ and V (Ai ∩ Aj) 6= ∅ for 1 ≤ i < j ≤ k.
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 84 شماره
صفحات -
تاریخ انتشار 2004