Generating 4-connected graphs
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چکیده
5 Let C = {C n : n ≥ 5} and let L = {G : G is the line graph of an internally 4-connected cubic graph}. 6 A classical result of Martinov states that every 4-connected graph G can be constructed from graphs in 7 C ∪L by repeatedly splitting vertices. In this paper we prove that, in fact, G can be constructed from C 5 8 or C 6 in the same way, unless G belongs to C ∪L. Moreover, if G is nonplanar then G can be constructed 9 from C 5 . 10
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تاریخ انتشار 2015